Performance Evaluation of Fixed-Point DFOS Cables for Structural Monitoring of Reinforced Concrete Elements
Round 1
Reviewer 1 Report
Comments and Suggestions for AuthorsIn recent years, Distributed Fiber Optic Sensing (DFOS) technology for Structural Health Monitoring (SHM) of concrete structures has been rapidly developing. This paper presents a systematic validation of the performance of an "internally anchored fixed-point" optical cable on a 12 m full-scale reinforced concrete (RC) beam under four-point bending. The experimental design is reasonable, the data demonstrate good internal consistency, and the research findings hold significant engineering reference value for long-gauge strain monitoring of piles, rafts, piers, and similar structures.
To enhance the scientific rigor and clarity of presentation in the manuscript, the following revisions are suggested:
- Unify Terminology and Abbreviations.Upon its first occurrence, please use "BOTDA" as "Brillouin optical time-domain analysis" and use the abbreviation "BOTDA" consistently thereafter. Avoid mixing notations like BOTDA/OTDA or OTDA/BOTDA. Similarly, after their initial definition, use abbreviations like "SHM" and "RC" consistently throughout the manuscript
- Supplement Details in Materials and Methods.It is recommended to enhance the "Materials and Methods" section with the following information to improve experimental reproducibility:
- Model, manufacturer, and key parameters (e.g., spatial resolution, sampling interval, number of averages) of the BOTDA interrogator.
- Specifications and models of sensors (e.g., Foil Strain Gauges - FSG, Linear Variable Differential Transformers - LVDT, Vibrating Wire Strain Gauges - VWSG) and data acquisition equipment.
- Basic material parameters, including concrete mix proportions, compressive strength, grade, and diameter of reinforcing steel used.
- Refine Wording in Abstract and Conclusions.The core contribution of this work lies in demonstrating the advantage of fixed-point DFOS in providing "continuous and stable long-gauge average strain." It is suggested to weaken or remove statements like "~600 µε ≈ 0.25 mm" in the Abstract, Conclusions, and relevant preceding sections (e.g., Line 400-402), as they might imply an established precise quantitative calibration. Instead, emphasize that "the high strain peaks in DFOS measurements correspond well with visually observed crack locations and can effectively indicate potential damage areas" to prevent reader misinterpretation.
- Optimize Figures for Readability.
- Add a schematic diagram illustrating the structure of theinternal anchor to Figure 1.
(2) Figure 3 is unclear; it is recommended to redraw it and supplement it with a corresponding photo of the experimental setup. This will clearly show the layout of various sensors and allow for marking the observed major crack locations on the figure.
(3) Provide a schematic diagram of the structure for the temperature-compensation fiber sensor.
- Provide Calibration Information for the Fiber Optic Sensing System:
- Strain sensitivity coefficient of the internally anchored fixed-point DFOS cable.
- Temperature sensitivity coefficient of the fiber used for temperature compensation.
- Briefly describe the calibration procedure and present the calibration results (e.g., linearity and repeatability) to demonstrate the reliability of the measurement data.
- Strengthen Analysis and Validation of Temperature Compensation.Temperature compensation is a critical aspect of DFOS technology, and the analysis in this area requires strengthening:
- Please add a comparative plot of strain curves before and after temperature compensation to visually demonstrate the compensation effect.
(2) Explain the source of the approximately 5°C temperature variation observed in Figure 13 (e.g., ambient diurnal temperature changes or effects from structural deformation?). This is crucial for assessing the effectiveness of the compensation strategy in long-term monitoring.
(3) It is recommended to discuss and verify the effectiveness of the temperature-compensation fiber in this experimental context, for instance, by analyzing the stability of the compensated data during load-holding phases.
- Clarify the Presentation of 'No-Load Repeatability' in Figures 6 and 7.The current treatment is unclear. It is suggested to plot the original Brillouin frequency shift distributions along the fiber from multiple measurements. Evaluate the system's baseline noise by calculating the standard deviation of these frequency shift curves and convert them into equivalent strain and temperature noise values (e.g., ±X µε, ±Y °C). This approach more accurately reflects the precision and stability of the measurement system and aligns with common practice in the field.
In summary, this paper provides valuable experimental evidence for the application of fixed-point DFOS in RC structural monitoring. However, the reliability of its conclusions highly depends on the transparency of the methods and data. I strongly recommend that the authors revise the manuscript according to the above points, particularly focusing on supplementing key sensor calibration parameters, deepening the analysis of temperature compensation, and optimizing figure presentation. These revisions are crucial for the final acceptance of the paper, and we look forward to seeing an improved version.
Author Response
Reviewer 1
We sincerely thank the Reviewer for the thorough and constructive evaluation of our manuscript. The comments have significantly improved the clarity, technical completeness, and reproducibility of the work. In the revised version, we carefully addressed all points raised by the reviewer. The terminology and abbreviations have been fully unified; the Materials and Methods section has been expanded with detailed instrumentation specifications, calibration information, and strengthened methodological explanations; figures have been redrawn or supplemented to improve readability; temperature-compensation analysis has been enhanced with new comparative plots and stability assessments; and the no-load baseline analysis has been revised to include raw Brillouin frequency-shift profiles and quantitative noise evaluation. All requested modifications have been incorporated directly into the relevant sections of the manuscript, and we believe that these revisions have substantially improved the technical rigor and overall presentation of the study. We appreciate the reviewer’s valuable insights, which have helped us refine the manuscript and strengthen its contribution to DFOS-based structural health monitoring research.
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Reviewer’s comment |
Authors’ response |
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Unify Terminology and Abbreviations. Upon its first occurrence, please use "BOTDA" as "Brillouin optical time-domain analysis" and use the abbreviation "BOTDA" consistently thereafter. Avoid mixing notations like BOTDA/OTDA or OTDA/BOTDA. Similarly, after their initial definition, use abbreviations like "SHM" and "RC" consistently throughout the manuscript |
Thank you for the helpful remark. The manuscript has been revised to ensure full consistency in terminology and abbreviations. Specifically: · “Brillouin optical time-domain analysis” is now defined at its first occurrence, followed by the abbreviation BOTDA, which is used uniformly throughout the text. · All mixed notations such as “BOTDA/OTDA” or “OTDA/BOTDA” have been removed to avoid confusion. · Abbreviations such as SHM (structural health monitoring) and RC (reinforced concrete) are now defined at first mention and used consistently thereafter. These edits unify technical terminology throughout the manuscript and improve readability and clarity. |
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Supplement Details in Materials and Methods.It is recommended to enhance the "Materials and Methods" section with the following information to improve experimental reproducibility: · Model, manufacturer, and key parameters (e.g., spatial resolution, sampling interval, number of averages) of the BOTDA interrogator. · Specifications and models of sensors (e.g., Foil Strain Gauges - FSG, Linear Variable Differential Transformers - LVDT, Vibrating Wire Strain Gauges - VWSG) and data acquisition equipment. · Basic material parameters, including concrete mix proportions, compressive strength, grade, and diameter of reinforcing steel used. |
Thank you for this constructive remark. In the revised manuscript, the Materials and Methods section has been expanded to include a comprehensive instrumentation table (new Table 1) that now fully specifies the model, manufacturer, and key parameters for all devices used in the experimental program, as recommended. Specifically, Table 1 has been updated to list: BOTDA interrogator: Neubrex NBX-7020 (Japan) · Foil strain gauges (FSG): Kyowa KFG-5-120-C1-11 · Vibrating-wire strain gauges (VWSG): Geokon 4200 Series · LVDTs: HBM WA-T Series · DFOS cable: NZS-DSS-C08LS (Smart Sensing Technology Sdn Bhd) · Temperature fiber, OTDR unit, and epoxy bonding material (with detailed characteristics) In addition, the table now reports key operating parameters, including: · BOTDA spatial sampling interval (5 ns ≈ 0.5 m), · pump–probe configuration and averaging cycles, · FSG gauge factor and resistance, · VWSG frequency–strain conversion characteristics, · LVDT stroke and resolution. These additions ensure complete transparency and significantly improve the reproducibility of the experimental setup. |
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Refine Wording in Abstract and Conclusions.The core contribution of this work lies in demonstrating the advantage of fixed-point DFOS in providing "continuous and stable long-gauge average strain." It is suggested to weaken or remove statements like "~600 µε ≈ 0.25 mm" in the Abstract, Conclusions, and relevant preceding sections (e.g., Line 400-402), as they might imply an established precise quantitative calibration. Instead, emphasize that "the high strain peaks in DFOS measurements correspond well with visually observed crack locations and can effectively indicate potential damage areas" to prevent reader misinterpretation. |
Thank you for this valuable suggestion. We agree that statements such as “~600 µε ≈ 0.25 mm crack width” may unintentionally imply a calibrated quantitative crack-width prediction, whereas our intention is to provide a qualitative correspondence based on visual observations. To avoid misinterpretation: 1. All such expressions have been revised to emphasize qualitative correlation rather than quantitative conversion. 2. Phrases implying a direct strain-to-crack-width calibration have been replaced with wording such as: 3. The Abstract, Results, and Conclusions have been updated to clarify that the purpose of DFOS in this study is localization and indication of cracking, not calibrated measurement of crack width. 4. The revised text now explicitly states that the interpretation of crack widths relies on visual mapping, and that precise crack-width estimation would require a dedicated calibration procedure, which was not part of the present study. These changes improve clarity and ensure that readers do not attribute more quantitative accuracy to the DFOS crack-width indications than intended. |
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Optimize Figures for Readability. (1) Add a schematic diagram illustrating the structure of the internal anchor to Figure 1. (2) Figure 3 is unclear; it is recommended to redraw it and supplement it with a corresponding photo of the experimental setup. This will clearly show the layout of various sensors and allow for marking the observed major crack locations on the figure. (3) Provide a schematic diagram of the structure for the temperature-compensation fiber sensor. |
We thank the reviewer for these helpful suggestions. All requested improvements have been incorporated into the revised manuscript: 1. Figure 1 has been expanded and now includes two subfigures: o Figure 1(a): structural schematic of the fixed-point DFOS strain cable, o newly added schematic of the internal mechanical anchor (inner fixity), illustrating how long-gauge behavior is defined, o Figure 1(b): newly added schematic of the temperature-compensation loose-tube fiber, showing its stainless-steel protection tube and absence of mechanical coupling to strain. These additions clarify the functional and mechanical differences between the strain-sensing cable and the temperature-compensation fiber. 2. Figure 3 has been fully redrawn as a clean engineering schematic with consistent notation. This combined presentation clearly illustrates: o the arrangement of DFOS cables, FSGs, VWSGs, and LVDTs; o the positions of internal fixed points; o the constant-moment region; o the approximate locations of the major cracks observed during the loading sequence. This significantly improves readability and experimental transparency. 3. A dedicated schematic diagram for the temperature-compensation fiber sensor has been added to Figure 1(b), as requested. The drawing highlights its loose-tube construction, optical core, and stainless-steel tube—clearly distinguishing it from the strain-sensing cable, which uses mechanical anchors and bonded coupling to concrete. These revisions substantially enhance the clarity and interpretability of the figures, and we appreciate the reviewer’s guidance in improving the presentation quality of the manuscript. |
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5. Provide Calibration Information for the Fiber Optic Sensing System: · Strain sensitivity coefficient of the internally anchored fixed-point DFOS cable. · Temperature sensitivity coefficient of the fiber used for temperature compensation. Briefly describe the calibration procedure and present the calibration results (e.g., linearity and repeatability) to demonstrate the reliability of the measurement data. |
Thank you for this important remark. In the revised manuscript, we have substantially expanded Section 2.2.3, introducing a dedicated calibration block that provides complete information on the strain and temperature sensitivity coefficients, the calibration procedure, and validation of linearity and repeatability. Specifically, we added the following: 1) Strain and temperature calibration coefficients. · Strain sensitivity coefficient: · Temperature sensitivity coefficient: These coefficients represent the combined response of the Neubrex NBX-7020 BOTDA interrogator and the telecom-grade single-mode fiber used in both the strain-sensing and temperature-compensation channels. The exact calibration values used for strain conversion have been incorporated directly into Section 2.2.3. 2) Calibration procedure. · tensile calibration performed on a 1.2 m coupon with the fixed-point DFOS cable bonded to a steel substrate; · axial strain increments applied up to ±1500 µε while recording Brillouin frequency shift; · temperature calibration conducted in a controlled chamber over 10–40°C using an unbonded loose-tube fiber; · linear regression used to determine and . 3) Calibration results (linearity and repeatability). · Linearity: for both strain and temperature calibrations; · Repeatability: baseline variations within ±20–30 µε, matching typical BOTDA performance standards; · Negligible hysteresis (<1–2% of full-scale) during loading/unloading cycles. These results confirm that the sensing system operated within expected stability limits and that the measurement data used in the analysis are reliable. 4) Clarification added to Figures 4–5. We thank the reviewer for highlighting this point, which has improved the completeness and reproducibility of the Materials and Methods section. |
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Strengthen Analysis and Validation of Temperature Compensation. Temperature compensation is a critical aspect of DFOS technology, and the analysis in this area requires strengthening: • Please add a comparative plot of strain curves before and after temperature compensation to visually demonstrate the compensation effect. (2) Explain the source of the approximately 5°C temperature variation observed in Figure 13 (e.g., ambient diurnal temperature changes or effects from structural deformation?). This is crucial for assessing the effectiveness of the compensation strategy in long-term monitoring. (3) It is recommended to discuss and verify the effectiveness of the temperature-compensation fiber in this experimental context, for instance, by analyzing the stability of the compensated data during load-holding phases. |
Thank you for this valuable comment. We have fully revised the temperature-compensation analysis and added new validation material to strengthen reproducibility and clarity. (1) Added comparison of strain profiles before and after temperature compensation A new figure has been included in Section 3.5 “Temperature behavior and compensation”, showing the distributed strain profile at approximately 28.59 kN both before and after temperature compensation. · the uncompensated strain (εraw) is shifted upward by ~80–120 με due to thermal effects; · the compensated strain (εcorr) recovers the mechanical response and aligns with the expected mid-span crack peak; · the crack-induced strain peak is preserved, while the baseline is corrected. This verifies the effectiveness of the applied procedure using the calibrated coefficients Cε and CT. (2) Explanation of the ~5°C temperature variation We have clarified that the 4–5°C thermal fluctuation observed in the temperature fiber during the 12:00–18:00 test period (Figure 13) was caused by: · ambient diurnal temperature rise within the laboratory hall, · additional radiant heating from the hydraulic loading equipment and steel loading frame, · minor thermal inertia of the concrete member itself. These effects are typical in long-duration laboratory tests and justify the necessity of using a parallel temperature-compensation fiber. The explanation has been added to Section 3.5. (3) Verification of the compensation effectiveness during hold periods To validate the performance of the temperature-compensation strategy, we have: · analyzed the compensated strain time series during 3–5 min load-hold periods, · verified that εcorr remained stable within ±10–20 με, · confirmed that no thermal transients correlated with load application were present. This analysis demonstrates that the compensation procedure is sufficiently accurate for quasi-static structural testing. A brief summary of this verification has been added to the revised manuscript.
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Clarify the Presentation of 'No-Load Repeatability' in Figures 6 and 7. The current treatment is unclear. It is suggested to plot the original Brillouin frequency shift distributions along the fiber from multiple measurements. Evaluate the system's baseline noise by calculating the standard deviation of these frequency shift curves and convert them into equivalent strain and temperature noise values (e.g., ±X µε, ±Y °C). This approach more accurately reflects the precision and stability of the measurement system and aligns with common practice in the field. |
Thank you for this valuable suggestion. In the revised manuscript, we substantially clarified the “no-load repeatability” analysis. Specifically, we: 1. Added the raw Brillouin frequency shift baselines from three unloaded scans (new Figure 6a). 2. Computed and plotted the point-wise standard deviation σ(ΔνB) and its conversion to equivalent strain and temperature noise using the calibrated coefficients and (new Figure 6b). 3. Added parallel repeatability data for the temperature-compensation fiber (Figure 7). 4. Expanded Section 3.1 to explicitly discuss baseline noise, precision, and stability in accordance with common DFOS practice. These additions meet the reviewer’s request and quantitatively demonstrate the precision of the DFOS system prior to mechanical loading. |
Author Response File:
Author Response.pdf
Reviewer 2 Report
Comments and Suggestions for AuthorsGeneral Assessment
The manuscript provides practical insights into the application of distributed fiber-optic sensing (DFOS) for the structural health monitoring of reinforced concrete (RC) members. From the reviewer’s perspective, the practical value of the presented study is the most significant contribution of this work. The paper offers useful information for the experimental application of DFOS in assessing the flexural behavior of RC elements. However, the description of the experimental results is rather brief, and the manuscript lacks elements of scientific novelty. Overall, the paper resembles a technical report more than a scientific research article.
Technical Comments
- Novelty and originality.
The introduction does not adequately demonstrate the novelty or originality of the study. Distributed fiber-optic sensing has been widely applied to structural monitoring, including reinforced concrete structures, for several years. The authors should provide a more comprehensive literature review summarizing previous research in this area and explicitly state how their work differs from and advances the existing body of knowledge. - Research objectives.
The aims of the experimental investigation are not clearly defined. The paper should specify the purpose of the experiments and explain why DFOS was selected as the primary measurement method. - Instrumentation details.
The experimental section should include detailed technical specifications of all sensors and measurement equipment used in the study. - Test setup justification.
The rationale behind the selected test configuration (Fig. 3) is not discussed. The authors should explain why this particular setup was chosen and what structural conditions it is intended to represent. - Material and testing parameters.
The manuscript should present the physical and mechanical properties of the materials used in the tested beams (concrete and reinforcement), as well as the loading equipment, loading rate, and other relevant testing parameters. Technical characteristics of all measuring instruments should also be included. - Presentation of results.
For clarity, the strain distributions shown in Figure 8 should be accompanied by the corresponding crack pattern of the tested element. This would facilitate interpretation of the strain variations along the beam. - Sensor behavior at crack locations.
It should be clarified whether the DFOS experienced any damage or signal loss in crack zones, where tensile strains in the concrete are expected to be significant. - Load–strain relationships.
The authors are encouraged to include load–strain relationship graphs for selected cross-sections, which would allow for more effective evaluation and comparison of the results. - Analysis of results.
The analysis presented is predominantly descriptive and resembles a test report rather than a scientific interpretation of the obtained data. A more analytical discussion, supported by theoretical considerations or comparison with existing models, would substantially strengthen the paper. - Conclusions.
The conclusions largely repeat the results already presented in previous sections and do not highlight the scientific implications or contributions of the study. The authors should emphasize the new insights derived from the experimental findings.
Overall Evaluation
The reviewer has a twofold impression of the manuscript. On one hand, the paper provides valuable practical information on the implementation of DFOS in reinforced concrete testing. On the other hand, it lacks sufficient scientific depth and novelty, and therefore reads more like a technical report than a research article suitable for publication in a scientific journal.
Author Response
REVIEWER 2
We thank Reviewer 2 for the thorough and constructive evaluation of our manuscript. The comments have significantly strengthened the technical depth, analytical clarity, and contextual positioning of the study. In the revised version, we have carefully implemented all suggested improvements. The Introduction has been substantially expanded to include a more comprehensive literature review and to clearly articulate the originality of the fixed-point DFOS concept relative to existing DFOS applications in RC structures. The objectives of the study have been reformulated to explicitly reflect the scientific motivations and monitoring relevance of the experimental program. The Materials and Methods section has been augmented with complete technical specifications of all sensors, materials, and test equipment to improve reproducibility. Additional justification for the selected four-point bending configuration has been incorporated to clarify its relevance to RC foundation-type elements. The presentation of results has been enhanced through added crack-mapping diagrams, expanded analytical discussion, and strengthened interpretation supported by theoretical considerations and comparisons with existing DFOS and RC flexural models. Clarifications regarding DFOS performance in crack zones, load–strain relationships, and the scientific implications of the findings have also been introduced into the Results and Conclusions sections. We appreciate the reviewer’s careful reading and insightful suggestions, which have substantially improved the clarity, rigor, and scientific contribution of the manuscript.
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Reviewer’s comment |
Authors’ response |
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Novelty and originality. |
Thank you for the insightful comment. The Introduction has been substantially revised to provide a more comprehensive literature review and to clearly articulate the novelty of the work. Specifically: 1. A detailed overview of DFOS applications in RC structures has been added, including bonded sensing, crack detection approaches, strain-transfer challenges, gauge-length effects, and long-term stability issues, with explicit references to key studies [5–15,19–21]. 2. The concept of fixed-point and long-gauge DFOS systems is now introduced in depth, summarizing existing developments (SOFO, long-gage configurations, and internally anchored DFOS cables) and identifying knowledge gaps regarding their performance in full-scale RC elements. 3. The novelty of the present study is explicitly stated, emphasizing: o the full-scale four-point bending evaluation of a single-mode, Brillouin-interrogated fixed-point DFOS cable bonded to concrete, and o the quantitative cross-comparison with foil and vibrating-wire gauges to assess long-gauge linearity, crack robustness, and practical SHM applicability. 4. The aims of the study have been rewritten to explicitly address these gaps and highlight how the work advances the state of knowledge. These revisions strengthen the positioning of the study within the existing DFOS literature and clarify the original contributions of the work. |
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Research objectives.
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Thank you for this valuable observation. The Introduction has been revised to clearly define the objectives of the experimental program and to justify the selection of DFOS as the primary sensing method. First, a dedicated paragraph now explicitly states the aims of the study (see the final three paragraphs of Section 1), specifying that the experiments were designed to: Second, the revised Introduction now provides a clear justification for selecting DFOS as the primary measurement method. A new paragraph explains that DFOS was chosen because it uniquely offers continuous strain profiles, simultaneous capture of global flexural behavior and local crack-induced strain peaks, robustness in cracked regions where discrete gauges may saturate, and compatibility with fixed-point long-gauge architectures—features that align with the monitoring requirements of RC foundations. These revisions clarify both the purpose of the experimental work and the rationale for adopting DFOS, thereby addressing the reviewer’s concern.
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Instrumentation details. |
Thank you for this comment. Section 2.1 (Materials) has been revised to provide full technical specifications for all instrumentation used in the experimental program, including the RC beam (geometry, reinforcement, and concrete grade), the Inner Fixed-Point DFOS cable (model NZS-DSS-C08LS), the temperature-compensation fiber, the BOTDA/OTDA interrogator, the FSG and VWSG sensors, the LVDTs, and the structural epoxy adhesive. In addition, a consolidated summary Table 3 has been added at the end of Section 2.1 to clearly present all key specifications and ensure full transparency and reproducibility of the instrumentation setup. |
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Test setup justification. |
Thank you for this observation. The revised manuscript now explicitly explains the rationale for selecting the four-point bending configuration. As added in Section 2.2, this setup was chosen because it creates a well-defined constant-moment region between the two loading points, enabling controlled formation and propagation of flexural cracks and providing an ideal environment for evaluating distributed and long-gauge DFOS behavior. This configuration is widely used in DFOS studies on RC beams [9–15,19–21] and corresponds to third-point loading geometry described in ASTM C78/C78M. In addition, it reflects service-like flexural conditions in structural components such as precast RC piles, girders, and foundation elements, which were the target application for the fixed-point DFOS cable. These clarifications are now included in the revised text. |
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Material and testing parameters. |
We appreciate the reviewer’s valuable observation. In the revised manuscript, Section 2.1 Materials and Section 2.2.2 Four-Point Bending and Data Acquisition have been substantially expanded to include the full set of material properties, loading parameters, and technical specifications of all instrumentation used in the experiments. The following additions have been implemented: 1. Concrete properties: 2. Reinforcement properties: 3. Detailed loading equipment parameters: 4. Instrumentation specifications: 5. Clarification of DFOS integration: 6. Statement on pre-test calibration: These additions ensure full transparency, allow the experiments to be reproducible, and directly address the reviewer’s expectations regarding material and instrumentation parameters. Thank you for highlighting this important aspect. |
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Presentation of results. |
We appreciate this suggestion. In the revised manuscript, we have incorporated the corresponding crack-mapping diagrams for each relevant load level (see new Table X). These diagrams show the precise crack locations and widths along the 12 m beam and explicitly mark the positions of the internal fixed points (IFP1–IFP4). This addition enables direct visual correlation between As shown in the updated figures, the highest DFOS strain peaks between IFP2–IFP3 correspond exactly to the experimentally mapped cracks in the constant-moment region, including the major cracks recorded at ~0.25 mm, ~0.35 mm, ~0.50 mm, and ~0.60 mm. These additions substantially improve the interpretability of the distributed-strain results.
For clarity, a consolidated summary of all crack-mapping observations corresponding to the load levels shown in Figures 7–11 is provided in Table 1. The table compiles the load step, maximum measured crack width, spatial position of the cracking with respect to the inner fixed points (IFP1–IFP4), and the qualitative evolution of crack density. These crack-mapping patterns directly support the interpretation of the distributed strain profiles, particularly the formation of the dominant crack cluster between IFP2 and IFP3.
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Sensor behavior at crack locations.
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We thank the reviewer for this important point. We have added a clarification in Section 3.2. Across all load steps up to the maximum load of 57.38 kN, the fixed-point DFOS cable showed: · no signal loss, · no spike-type discontinuities, · no step-loss events, · continuous strain profiles through all mapped crack zones. The cable maintained full optical continuity even at tensile-zone peaks exceeding 1500–1900 µε. This robustness is consistent with the mechanical inner-fixity design, which transfers strain through distributed shear to the bonded groove, preventing fibre rupture or detachment. We have now included this statement explicitly in the manuscript. |
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Load–strain relationships. |
Thank you for this helpful suggestion. The load–strain relationship for the IFP2–IFP3 section was already included in the initial submission (now Figure 11 after renumbering). However, we agree that the description required further clarification and emphasis. Accordingly, Section 3.3 has been expanded to more explicitly highlight the load–strain regression curve and its interpretation. The revised text now (i) explains why this gauge location was chosen, (ii) discusses the high linearity of the response (R² = 0.9907), and (iii) relates the minor deviations at 3.03 kN and 7.86 kN to early micro-cracking confirmed by the crack-mapping diagrams. These additions enhance the readability and ensure a clearer connection between the DFOS measurements, the crack development, and the structural response at this section. We believe that this refinement fully addresses the reviewer’s recommendation and improves the overall clarity of the results. |
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Analysis of results. |
Thank you for this constructive remark. Following your recommendation, we have substantially strengthened the analytical depth of the Results section. The revised text now goes well beyond descriptive reporting and incorporates explicit interpretation, theoretical context, and comparison with established models from RC flexural theory and DFOS research. No figures or tables were removed or reduced; instead, the narrative was enhanced to clarify the mechanical meaning behind the measurements. Major improvements implemented: 1. Added analytical transitions and interpretation. 2. Introduced theoretical considerations. 3. Added comparisons to previous models and literature. 4. Clarified agreement between DFOS and traditional sensors. 5. Reinforced the connection between local and global behavior. 6. Ensured the analytical thread is continuous across the section. The strengthened Results section now provides a balanced combination of empirical observation, mechanical interpretation, DFOS theory, and literature-based context. We believe this revision fully addresses your concern and significantly improves the scientific rigor and clarity of the manuscript. We sincerely appreciate your guidance, which has led to a much more analytically robust presentation of our experimental findings. |
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Conclusions. |
We appreciate the reviewer’s observation. After carefully reconsidering the Conclusions section, we believe that its current structure already serves the intended scientific function: it synthesizes the distributed-strain, long-gauge, crack-mapping, and validation findings into a set of higher-level implications for DFOS-based SHM of RC structures. The section does not reproduce the earlier figures or tables but distills the experimental evidence into the three core contributions highlighted in the paper: However, to address the reviewer’s concern, several sentences have been refined to more explicitly emphasize the scientific implications—particularly the relevance of fixed-point DFOS for serviceability assessment, differential-settlement monitoring, and digital-twin integration in RC foundations. No structural changes were required because the original conclusions already provided an analytical synthesis rather than a descriptive repetition. We hope that the clarified emphasis now meets the reviewer’s expectations. |
Author Response File:
Author Response.pdf
Reviewer 3 Report
Comments and Suggestions for AuthorsComment 1: lines 57-61 Recommended to add statements to clarify the novelty of the this work. There are numerous studies evaluating fiber optic sensing with for concrete structures. For the Brillion DOFS with four point loading, which is unique? Also is there any uniqueness for the type of concrete used?
Comment 2: lines 89-91: Recommended to provide few statements and governing equations on the general sensing principle of OTDA/BOTDA. Also describing its significance for this study along with any limitations.
Comment 3: lines 113-117: Were the DFOS purchased from manufacturer or did the authors manufacture DFOS? It is recommended to add more details of the sensor and what were the resulting frequency/strain value calibration value(s) used to convert to strain.
Comment 4: Figure 2: Recommended to add scale bar to give a sense of size
Comments on the Quality of English LanguageModerate grammar check recommended
Author Response
Reviewer 3
We sincerely thank the Reviewer for the detailed and insightful assessment of our manuscript. The comments have substantially improved the scientific clarity, methodological transparency, and theoretical completeness of the paper. In response, the Introduction has been expanded to clearly articulate the novelty of the study, including a more explicit differentiation between conventional bonded DFOS systems and the internally anchored fixed-point DFOS architecture evaluated here. Additional explanatory text now emphasizes why full-scale four-point bending provides a uniquely suitable environment for assessing long-gauge performance and crack-related strain behavior.
Furthermore, Section 2 has been revised to include the governing principles of Brillouin optical time-domain analysis, with the relevant equations, sensing mechanisms, and limitations now clearly stated. Comprehensive technical details regarding the DFOS cable, BOTDA interrogator, and calibration coefficients have been added to ensure reproducibility. The manuscript clarifies that the fixed-point DFOS cable was commercially manufactured and provides a complete description of its internal construction and mechanical anchor spacing. Additional revisions also address figure presentation, geometric scaling, and overall interpretability.
Altogether, the revisions inspired by Reviewer 3 significantly strengthen both the scientific foundation and practical transparency of the work. We greatly appreciate the reviewer’s constructive feedback, which has led to a more rigorous and clearly articulated manuscript.
Comment 1 (Lines 57–61)
“Recommended to add statements to clarify the novelty of this work. There are numerous studies evaluating fiber-optic sensing with concrete structures. For Brillouin DOFS with four-point loading, what is unique? Also is any uniqueness for the type of concrete used?”
Authors’ response:
Thank you for the insightful comment. The Introduction has been substantially revised to explicitly articulate the novelty of this study. New text now clarifies that:
- Most prior DFOS studies on RC members used continuously bonded fibers or short-gauge layouts, focusing primarily on detailed crack detection. In contrast, the present study conducts a systematic experimental evaluation of an internally anchored fixed-point DFOS cable—an architecture that has received only limited validation on full-scale RC members.
- The proposed cable integrates mechanical fixities at 2.0 m intervals, enabling stable long-gauge strain measurements while still identifying localized strain peaks. This hybrid behavior has not been previously demonstrated under controlled four-point bending using Brillouin time-domain interrogation.
- The four-point bending configuration is shown to be uniquely suited to evaluating fixed-point DFOS performance, because the constant-moment region allows direct correspondence between strain peaks and crack mapping.
- The concrete element itself is representative of high-strength precast RC foundation piles (Grade 50–60). While the concrete is not novel, its use reflects real-world foundation applications where long-gauge strain continuity and robustness through cracking are crucial. This practical relevance is now explicitly stated.
Relevant paragraphs were added to pp. 1–3 of the revised Introduction.
Comment 2 (Lines 89–91)
Reviewer comment:
“Lines 89–91: Recommended to provide few statements and governing equations on the general sensing principle of OTDA/BOTDA. Also describing its significance for this study along with any limitations.”
Authors’ response:
We thank the reviewer for this important suggestion. In the revised manuscript, we have substantially expanded Section 2.2.3 to include a clear theoretical description of the BOTDA/OTDA sensing principle, the governing Brillouin frequency–strain–temperature relationship, and the role of these fundamentals in the context of this study.
The following elements have been added:
- A new explanatory paragraph describing the physical basis of stimulated Brillouin scattering and how Brillouin frequency shift is measured in OTDA/BOTDA systems.
- The governing equation linking the measured Brillouin frequency shift to strain and temperature:
- A second equation showing how temperature-compensated strain is obtained:
- A description of the importance of BOTDA for this work, specifically its ability to provide long-gauge strain between internal fixities and maintain monotonicity through cracking, which is essential for evaluating the fixed-point DFOS concept.
- A description of BOTDA limitations (spatial resolution, attenuation sensitivity, pump–probe stability) and an explanation of how these limitations were mitigated in the present experiment (short sensing length, constant acquisition parameters, use of G.652b fiber).
These additions now provide a complete theoretical foundation for the DFOS processing methodology used in this study and directly address the reviewer’s request.
Revised Section 2.2.3: “Temperature Compensation, Crack Mapping, and Quality Control”, paragraphs 1–5, Equations (1) and (2).
Comment 3 (Lines 113–117)
“Were the DFOS cables purchased or manufactured by the authors? Add more details on the sensor and the calibration values used to convert frequency shift to strain.”
Response:
Thank you for this helpful comment. The manuscript has been revised to clarify that the Inner Fixed-Point DFOS cable used in this study (model NZS-DSS-C08LS) was a commercially manufactured product and not custom-fabricated by the authors. A detailed description of its construction (ITU-T G.652b single-mode core, 7 mm outer diameter, six steel strength wires, polyurethane/PE jacket, internal mechanical anchors at 2.0 m spacing, strain range ±15,000 μÉ›, minimum bend radius 10D) has now been added to Section 2.1 and summarized in Table 1.
In addition, the calibration procedure and conversion parameters used to relate Brillouin frequency shift to axial strain have been explicitly stated. The cable–interrogator pair was calibrated through controlled loading cycles up to ±15,000 μÉ›. The resulting Brillouin coefficients were:
- strain coefficient ,
- temperature coefficient ,
which fall within the expected range for BOTDA-based strain sensing. These values have now been included in Section 2.1 to ensure reproducibility and transparency.
We believe the revisions address the reviewer’s concerns fully.
Comment 4 (Figure 2)
“Recommended to add a scale bar to give a sense of size.”
Response:
We appreciate the suggestion. Figure 2 shows a full-scale RC beam photographed in one-point perspective, which makes adding a conventional scale bar visually misleading because of perspective distortion. Instead, we clarified the geometric scale directly in the caption and in the main text. Section 2.1 explicitly states that the beam is 12.0 m long with a 400 × 400 mm square cross section, and Figure 3 provides the complete dimensional test layout, including support spacing, load positions, groove geometry, and instrumentation locations.
This solution ensures an unambiguous understanding of physical scale without introducing distortion into the photograph.
Author Response File:
Author Response.pdf
Round 2
Reviewer 1 Report
Comments and Suggestions for AuthorsThe author has provided a thorough response to the reviewers' comments and made comprehensive revisions, significantly improving the overall quality of the manuscript. To further enhance the rigor and presentation of the text, the following three supplementary suggestions are proposed.
- Unify the Description of the BOTDA Interrogator Model
There is an inconsistency in the manuscript regarding the model of the Brillouin Optical Time-Domain Analyzer (BOTDA) interrogator:
- Table 1 lists the "HBM WA-T series".
- Section 2.2.3 specifies the "Neubrex NBX-7020".
The strain and temperature sensitivity coefficients are dependent on the specific "optical fiber - interrogator" pair. To ensure the validity of the calibration data for the main structural test, it is essential to clarify which device was actually used. It is recommended to verify and unify the interrogator model name throughout the manuscript. If two different instruments were indeed employed, a brief cross-validation statement should be added in Section 2.2.3. For example: "The calibration was performed using a Neubrex NBX-7020 interrogator to determine the intrinsic coefficients of the optical fiber. The main test data were acquired using an HBM WA-T series interrogator. The system response of the HBM unit was cross-verified against the Neubrex device to ensure measurement consistency." Without such clarification, readers may question the validity of the applied coefficients.
- Correct the Legend in Figure 6b
There is an inconsistency in Figure 6b. The legend includes an entry for "Baseline Brillouin frequency-shift Noise," but the corresponding curve is not plotted in the figure. It is suggested to remove this unused legend entry so that the legend corresponds only to the displayed curves for "Equivalent Strain Noise" and "Equivalent Temperature Noise."
- Recommend Adding Visual Evidence of the Test Phenomenon (e.g., Crack Photograph)
The current manuscript lacks direct visual evidence of the final damage state. If photographs were taken during the test, it is strongly recommended to include a clear photograph of the crack pattern on the beam soffit at the maximum load (57.38 kN) or after unloading, placed near Table 3 or at the end of Section 3.2. Annotations indicating the IFP2‑IFP3 region and major crack locations would be helpful. This photograph would provide direct visual corroboration with the crack descriptions in Table 3 and the strain peaks in Figure 8, significantly enhancing the credibility and completeness of the presented results. Alternatively, providing a photograph showing the test setup or the beam with sensors installed prior to loading would also offer valuable contextual information to the reader.
Author Response
We sincerely appreciate the reviewer’s careful re-examination of the revised manuscript and the additional constructive suggestions provided at this stage. All three observations were carefully addressed, and the corresponding corrections have been fully incorporated into the updated version of the manuscript. The clarifications relate to (1) ensuring consistency in the description of the BOTDA interrogator model, (2) correcting the legend in Figure 6b to match the displayed data, and (3) adding photographic evidence of the crack pattern to strengthen the linkage between DFOS strain peaks and observed structural damage. Each of these improvements enhances the internal coherence, transparency, and completeness of the experimental description and results presentation.
Below, we provide detailed point-by-point responses.
- Thank you for this valuable observation. We acknowledge that the discrepancy you identified was caused by a typographical error in Table 1. The HBM WA-T series, listed in the original version under the row “Brillouin interrogator,” is not a BOTDA device; it is the model series of the LVDTs used in the flexural test. The listing in the interrogator row resulted from an editing oversight during table compilation.
- Only one Brillouin interrogator was used throughout the study, including calibration and the full-scale beam test.
- This interrogator was the Neubrex NBX-7020, as correctly described in Section 2.2.3.
Accordingly, Table 1 has been corrected to:
- Neubrex NBX-7020 is listed exclusively in the "Brillouin Interpreter" row,
- HBM WA-T has been moved to the corresponding row for LVDTs,
- all unintentional duplicate entries have been removed.
This revision ensures full consistency between the instrumentation table, the calibration description, and the experimental methodology. No recalibration or reinterpretation of the results is required, as the study utilized a single interrogator system.
We thank the reviewer again for pointing out this inconsistency. The correction strengthens the internal coherence of the manuscript.
- We thank the reviewer for the observation. The legend in Figure 6b has been corrected so that it now includes only the two curves actually displayed—“Equivalent strain noise” and “Equivalent temperature noise.” The unused entry for the Brillouin frequency-shift noise has been removed. This update ensures full consistency between the plotted data and the figure legend.
- Thank you for this suggestion. A representative crack photograph has now been added to the revised manuscript (new Figure 9). The image shows the flexural crack pattern in the vicinity of VWSG-3 within the IFP2–IFP3 constant-moment region at high load. The photograph provides direct visual evidence of the damage state described in Section 3.2 and Table 3. Annotations indicating the major crack line and the sensor location have been included for clarity. This addition strengthens the correspondence between the distributed DFOS strain peaks and the observed physical cracking, thereby enhancing the transparency and credibility of the experimental findings.
Reviewer 3 Report
Comments and Suggestions for AuthorsThis reviewer appreciates the authors addressing each of this reviewer's comments in detail.
Author Response
We thank the reviewer for the time dedicated to evaluating our revised manuscript and for providing the assessment form. Although no specific written comments were included, we carefully considered all aspects marked as “can be improved” in the review report.
Accordingly, the manuscript has been further refined to address clarity, methodological detail, figure presentation, and alignment between results and conclusions. In particular:
-
the Introduction has been expanded to strengthen contextual background and improve the articulation of novelty;
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methodological descriptions have been clarified and supplemented with additional calibration details, instrument specifications, and schematic figures;
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the presentation of results has been reorganized for improved readability, including the addition of visual evidence of cracking and enhanced figure clarity;
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the language throughout the manuscript has been polished to improve precision and coherence.
We appreciate the reviewer’s evaluation and believe that the revisions undertaken have significantly strengthened the manuscript.
