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Search Results (1,366)

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Keywords = bending shears

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26 pages, 18415 KB  
Article
Model Test-Based Study on Mechanical Mechanism and Design Countermeasures of Capping and Waler Beams During Progressive Collapse of Anchor-Supported Excavations
by Ruozhan Wang, Jianzheng Song, Runze Zhang, Xuesong Cheng, Yanpeng Sun, Xuedong Zhang and Gang Zheng
Buildings 2026, 16(9), 1759; https://doi.org/10.3390/buildings16091759 - 29 Apr 2026
Viewed by 60
Abstract
Local anchor failure can trigger progressive collapse of excavations, during which capping beams and walers, as key load-transferring components, experience significantly increased internal forces. However, the evolution of their mechanical responses remains unclear. In this study, large-scale physical model tests were conducted to [...] Read more.
Local anchor failure can trigger progressive collapse of excavations, during which capping beams and walers, as key load-transferring components, experience significantly increased internal forces. However, the evolution of their mechanical responses remains unclear. In this study, large-scale physical model tests were conducted to systematically investigate the effects of anchor parameters (prestress, failure rate, and installation height), external hazard scenarios (local over-excavation and surface surcharge), and capping beam connection strength on the mechanical responses of capping beams and walers. The results show that applying prestress increases the lateral stiffness of the retaining structure and reduces the bending moment increase in the capping beam. Intermittent instant failure is the most unfavorable condition for the capping beam, inducing larger bending moments than rapid instant failure or slow failure. When anchors are installed at the waler level, the bending moment in the waler is significantly larger than that in the capping beam when anchors are installed at the capping beam level. Local over-excavation subjects the capping beam to larger shear forces at the edges of the over-excavation zone, making it susceptible to shear failure; accordingly, shear strengthening should be implemented at these locations, and strict control over the extent of over-excavation is required. Under surface surcharge, the critical load-bearing component varies with anchor installation height: when anchors are installed at the capping beam level, the retaining piles should be strengthened, whereas when anchors are installed at the waler level, the waler should be strengthened. The wall–anchor support system exhibits superior integrity compared to the pile–anchor system. Capping beam connections effectively disperse failure loads and reduce the increase in axial forces of adjacent anchors. Furthermore, I-steel connections for inter-panel strengthening can further enhance structural stability and increase the number of anchor failures required to trigger progressive collapse. These findings provide a scientific basis for the progressive collapse-resistant design of anchor-supported excavations. Full article
(This article belongs to the Section Building Structures)
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22 pages, 817 KB  
Article
Nonlocal Strain Gradient Approach for Static Behavior of Cross-Ply Laminated Nanoplates with Piezoelectric Fiber-Reinforced Composite Layer
by Rabab A. Alghanmi
Mathematics 2026, 14(9), 1456; https://doi.org/10.3390/math14091456 - 26 Apr 2026
Viewed by 107
Abstract
This study examines the bending of cross-ply laminated composite nanoplates coupled to a piezoelectric fiber-reinforced composite layer via the nonlocal strain gradient theory. The aim is to accurately capture size-dependent impacts and electromechanical interaction in nanoscale composite structures. The mechanical response is modeled [...] Read more.
This study examines the bending of cross-ply laminated composite nanoplates coupled to a piezoelectric fiber-reinforced composite layer via the nonlocal strain gradient theory. The aim is to accurately capture size-dependent impacts and electromechanical interaction in nanoscale composite structures. The mechanical response is modeled utilizing a refined four-variable shear deformation theory, with the governing equilibrium equations developed using the virtual work assumption. The nanoplate is examined under simply supported boundary conditions exposed to both mechanical loading and applied electric voltage. A detailed parametric investigation is done to assess the contribution of non-local and strain gradient factors, imposed voltage, and geometric ratios on the bending behavior. The results show that the nonlocal parameter generates a softening result, increasing deflection, whereas the strain gradient parameter raises stiffness and minimizes deformation. Moreover, the applied voltage successfully controls the bending response by electromechanical actuation, underlining the potential of PFRC-integrated nanoplates in smart nanoscale systems. Full article
25 pages, 8485 KB  
Article
Evolution Mechanism and Bearing Capacity of End-Area Hanging Roofs in Thick Hard Roofs with Liquid Nitrogen Fracturing Control
by Pengfei Shan, Ke Yang, Huicong Xu, Gen Li, Zheng Meng and Bojia Xi
Appl. Sci. 2026, 16(9), 4195; https://doi.org/10.3390/app16094195 - 24 Apr 2026
Viewed by 145
Abstract
To address severe strata pressure induced by large end-area hanging spans and poor caving of thick, hard roofs in western coal mines, this study takes the 1302 working face of Zhujiamao Coal Mine as a case study. A multiscale mechanical model is developed [...] Read more.
To address severe strata pressure induced by large end-area hanging spans and poor caving of thick, hard roofs in western coal mines, this study takes the 1302 working face of Zhujiamao Coal Mine as a case study. A multiscale mechanical model is developed to describe the progressive evolution of a stratified hard roof from a continuous beam to a cantilever beam and finally to an arched triangular hanging roof. Limit criteria for the maximum hanging length under bending and shear failure are derived, indicating that bending governs end-area roof instability. The theoretical results show good agreement with field observations and numerical simulations, providing guidance for liquid nitrogen fracturing target selection. Coupled FLAC3D-3DEC simulations reveal the staged deformation of overlying strata and clarify the spatial correspondence between the “O-X” fracture pattern and the arched triangular hanging roof. Based on these findings, a collaborative weakening strategy integrating directional drilling, hydraulic pre-cracking, and deep liquid nitrogen fracturing is proposed. Field observations and comparative tests confirm that this method effectively forms a three-dimensional fracture network, reduces roof stiffness and strength, shortens the caving interval, lowers peak shield resistance, and promotes stable caving of the end-area hanging roof. Full article
18 pages, 8761 KB  
Article
Research on the Multiscale Characterization and Performance of Basalt Fiber Powder-Modified Sasobit Warm-Mix Asphalt
by Yuhan Li, Zhaoyang Chen, Junwei Bi and Meisheng Shi
Materials 2026, 19(9), 1708; https://doi.org/10.3390/ma19091708 - 23 Apr 2026
Viewed by 251
Abstract
Warm-mix asphalt (WMA) technology and basalt fiber modification have been increasingly applied in road engineering. However, conventional basalt fibers often disperse unevenly and tend to agglomerate. In this study, basalt fiber powder (BFP) was incorporated into a Sasobit-based WMA system and systematically compared [...] Read more.
Warm-mix asphalt (WMA) technology and basalt fiber modification have been increasingly applied in road engineering. However, conventional basalt fibers often disperse unevenly and tend to agglomerate. In this study, basalt fiber powder (BFP) was incorporated into a Sasobit-based WMA system and systematically compared with matrix asphalt, Sasobit-modified WMA, conventional basalt fiber-modified WMA, and styrene butadiene styrene (SBS)-modified asphalt. Multiscale characterization—including dynamic shear rheometry (DSR), bending beam rheometry (BBR), scanning electron microscopy (SEM), and nanoindentation—was conducted to elucidate rheological behavior and interfacial micromechanical responses. The corresponding Asphalt Concrete-13 (AC-13) mixtures were further evaluated through rutting tests, low-temperature bending tests, and moisture susceptibility tests. Results demonstrate that micronized BFP achieves more homogeneous dispersion within the asphalt matrix and may promote a more effective reinforcing morphology, significantly enhancing high-temperature deformation resistance while partially mitigating the low-temperature stiffness increase induced by Sasobit. Compared with conventional basalt fiber systems, BFP shows better stress relaxation capacity and interfacial mechanical response under the tested conditions. At the mixture level, the BFP–Sasobit system showed the best overall performance, with the dynamic stability increasing by 242.2% relative to the base asphalt mixture and the residual Marshall stability reaching 92.3%, while the low-temperature flexural strain increased by 33.3%. Overall, the findings suggest that morphology-controlled micronization provides a morphology-guided enhancement strategy for Sasobit-based warm-mix asphalt by promoting coordinated improvements across the rheological, micromechanical, and mixture scales. Full article
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20 pages, 2076 KB  
Article
Elastic Stress Distribution Characteristics in the Anchorage Section Considering Anchor Cable Morphology
by Xiaoyu Ji, Quanwei Liu, Linsheng Liu, Qingfei Xin, Zeyu Xin, Xipeng Qin and Zhongnian Yang
Appl. Sci. 2026, 16(9), 4084; https://doi.org/10.3390/app16094084 - 22 Apr 2026
Viewed by 117
Abstract
The prestressed anchor cable is widely used in foundation pit engineering, but its universal bending shape in the anchorage section will significantly affect the load transfer and stress distribution. Based on Cox’s shear-lag model, this paper presents a theoretical analysis of the load [...] Read more.
The prestressed anchor cable is widely used in foundation pit engineering, but its universal bending shape in the anchorage section will significantly affect the load transfer and stress distribution. Based on Cox’s shear-lag model, this paper presents a theoretical analysis of the load transfer behavior at the anchor cable–grout interface and establishes an elastic distribution model of axial force and shear stress that accounts for the anchor cable shape. Furthermore, the influence of cable shape on the elastic stress distribution in the anchorage section under different load conditions, different anchorage lengths, and different bending radii is compared and analyzed. Finally, through a comparative analysis between the model calculation results and experimental data, the proposed distribution model shows good agreement with the experimental results. The findings reveal the evolution of the elastic stress distribution in the anchorage section under different cable shapes and provide a theoretical reference for the axial force loss of prestressed anchor cables in service. Full article
21 pages, 2691 KB  
Article
Wave Blocking in the Hydroelastic Response of a Floating Flexible Platform Under Compression Using Timoshenko–Mindlin Beam Theory
by Pouria Amouzadrad, Sarat Chandra Mohapatra and C. Guedes Soares
J. Mar. Sci. Eng. 2026, 14(8), 751; https://doi.org/10.3390/jmse14080751 - 20 Apr 2026
Viewed by 228
Abstract
A hydroelastic theoretical model is formulated, and an analytical solution is obtained to investigate the interaction between wave-opposing current loading with compression and a moored floating flexible platform within the framework of Timoshenko–Mindlin beam theory based on the linearized wave and small structural [...] Read more.
A hydroelastic theoretical model is formulated, and an analytical solution is obtained to investigate the interaction between wave-opposing current loading with compression and a moored floating flexible platform within the framework of Timoshenko–Mindlin beam theory based on the linearized wave and small structural response. By employing the matching technique and orthogonal mode-coupling relation, the closed-form analytical solutions for structural displacement, as well as shear force and bending moment, are obtained. The wave blocking and buckling limit in the presence of compressive force against an opposing current is determined via group and phase velocities from the dispersion relation in the context of the Timoshenko–Mindlin beam theory. Further, the combined influence of opposing current, compressive loading, and key structural design parameters on the hydroelastic response are examined. The results demonstrate that opposing currents and compressive forces can significantly alter the hydroelastic response, highlighting their critical role in structural engineering analysis. The current analysis provides a comprehensive analytical framework that can support the design and optimization of floating flexible platforms in the presence of opposing currents and compressive loads in complex marine environments. Full article
(This article belongs to the Section Ocean Engineering)
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14 pages, 5288 KB  
Article
Chemokine-Independent VLA-4/VCAM-1-Mediated Rolling and Arrest of B16 Melanoma Cells Under Shear
by Robert H. Eibl
Int. J. Mol. Sci. 2026, 27(8), 3649; https://doi.org/10.3390/ijms27083649 - 19 Apr 2026
Viewed by 252
Abstract
Integrins and other cell adhesion molecules play a critical role in the migration and homing of leukocytes. This study investigates whether metastatic tumor cells can exploit leukocyte-like rolling and arrest mechanisms during early vascular steps of metastatic dissemination. B16 melanoma cell adhesion to [...] Read more.
Integrins and other cell adhesion molecules play a critical role in the migration and homing of leukocytes. This study investigates whether metastatic tumor cells can exploit leukocyte-like rolling and arrest mechanisms during early vascular steps of metastatic dissemination. B16 melanoma cell adhesion to activated bEnd.3 endothelial monolayers or immobilized VCAM-1 were analyzed under defined shear flow using a parallel-plate chamber. Function-blocking antibodies, divalent cation modulation, pertussis toxin, and low-temperature conditions were used as classical controls. B16-BL6 melanoma cells exhibited robust VLA-4-dependent rolling and arrest on activated endothelial monolayers and on immobilized VCAM-1 under physiological shear stresses (0.7–2 dyn/cm2), independent of chemokine-related Gαi signaling. These findings identify a chemokine-independent mechanism of VLA-4-mediated vascular capture by melanoma cells under shear flow, providing a potential mechanistic basis for early steps in metastatic dissemination. Full article
(This article belongs to the Special Issue Adhesion, Invasion, and Metastasis in Cancer Progression)
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20 pages, 1239 KB  
Article
Optimizing Asphalt Modifications: Interactions Between SBS and PPA Modifiers
by Petr Veselý, Ondřej Dašek and Martin Jasso
Infrastructures 2026, 11(4), 140; https://doi.org/10.3390/infrastructures11040140 - 19 Apr 2026
Viewed by 500
Abstract
This study investigates the synergistic effects of combining polyphosphoric acid (PPA) and styrene–butadiene–styrene (SBS) as modifiers in asphalt binders to enhance their performance. The research focuses on optimizing the concentrations of PPA and SBS to improve the resistance to permanent deformation, cracking at [...] Read more.
This study investigates the synergistic effects of combining polyphosphoric acid (PPA) and styrene–butadiene–styrene (SBS) as modifiers in asphalt binders to enhance their performance. The research focuses on optimizing the concentrations of PPA and SBS to improve the resistance to permanent deformation, cracking at intermediate and low temperatures, and resistance to aging. A series of empirical and rheological tests, including penetration, softening point, elastic recovery, dynamic shear rheometer (DSR), multiple stress creep recovery (MSCR), and bending beam rheometer (BBR), were conducted to evaluate the rheological and engineering properties of the modified binders. The results indicate that PPA can partially replace SBS, offering comparable improvements in high-temperature performance and creep resistance. The MSCR test revealed a statistically significant synergistic effect between PPA and SBS, resulting in improved recovery and reduced non-recoverable compliance. However, PPA alone shows limited effectiveness at low temperatures and in properties that are governed by elastic response. This study highlights the potential for optimizing asphalt modifiers by leveraging the complementary properties of PPA and SBS in hybrid systems, particularly regarding high-temperature properties and dynamic loading. Full article
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19 pages, 2080 KB  
Article
Evaluation of Low-Carbon Grouting Material on Pipe Roof Support in Shallow Unsymmetrical Loading Tunnels Based on the Pasternak Foundation Theory
by Jingsong Chen, Mu He, Xiaodong Li, Zhenghao Xu and Hongwei Yang
Appl. Sci. 2026, 16(8), 3863; https://doi.org/10.3390/app16083863 - 16 Apr 2026
Viewed by 271
Abstract
Traditional pipe roof support design methods generally assume horizontal ground conditions and treat the pipe roof as a monolithic beam, thereby neglecting the differential stress distribution among individual steel pipes under unsymmetrical loading. To address this gap, this paper presents two main contributions: [...] Read more.
Traditional pipe roof support design methods generally assume horizontal ground conditions and treat the pipe roof as a monolithic beam, thereby neglecting the differential stress distribution among individual steel pipes under unsymmetrical loading. To address this gap, this paper presents two main contributions: a low-carbon cement-based grouting material suitable for pipe roof reinforcement, and a new mechanical model that simultaneously accounts for biased pressure conditions and the inter-pipe micro-arch effect. First, the working performance of limestone calcined clay cement (LC3) grout was systematically tested at a water–cement ratio of 1:1, and the optimal mix ratio was determined. Grout–soil reinforcement tests on weathered granite show that, for grout-to-soil volume ratios between 0.2 and 0.8, the compressive strength of the reinforced material exceeds 10 MPa and the elastic modulus exceeds 600 MPa. Second, a mechanical model for the pipe roof was established based on the Pasternak two-parameter foundation theory, incorporating both biased pressure conditions and the inter-pipe micro-arch effect. The model predictions were compared with existing field monitoring data in the literature, showing consistent trends and good agreement in peak deflection values. Parametric analysis reveals that under horizontal ground conditions, the pipe roof response is symmetric, with the vault as the most critical area. As the bias angle increases, the maximum response shifts toward the higher side of the terrain, and the stress difference between pipes on both sides increases significantly. Theoretical analysis of the low-carbon grouting material shows that pipe roof deflection is moderately reduced compared to traditional grouting materials, but at the cost of increasing bending moment and shear force within the steel pipes. The proposed low-carbon grouting material and the validated mechanical model provide theoretical support for the design optimization of pipe roof support in shallow unsymmetrical loading tunnels. Full article
(This article belongs to the Special Issue Soil Improvement and Foundation Engineering)
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18 pages, 3036 KB  
Article
Analytical Development of Impact Response of Stiffened Composite Panel with Optimum Structural Behaviour
by José Juan Cruz Reyes and Hessam Ghasemnejad
J. Compos. Sci. 2026, 10(4), 213; https://doi.org/10.3390/jcs10040213 - 16 Apr 2026
Viewed by 427
Abstract
This paper presents an analytical framework for the preliminary design of stringer-stiffened composite panels subjected to low-velocity impact. The formulation combines First-Order Shear Deformation Theory with a two-degree-of-freedom spring–mass model, while the super-stringer is represented as a Euler–Bernoulli beam whose bending contribution is [...] Read more.
This paper presents an analytical framework for the preliminary design of stringer-stiffened composite panels subjected to low-velocity impact. The formulation combines First-Order Shear Deformation Theory with a two-degree-of-freedom spring–mass model, while the super-stringer is represented as a Euler–Bernoulli beam whose bending contribution is transferred to the skin mid-surface through the parallel axis theorem. This provides a computationally efficient tool for rapid parametric assessment of stiffened configurations at the early design stage. To support laminate selection, a Specific Impact Energy Index (SIEI) is introduced to rank configurations according to their elastic energy storage efficiency relative to the product of skin and stringer thicknesses. The tool is validated against both published experimental results and a finite element dynamic explicit model, demonstrating a good approximation of the impact response. It is then applied to identify the optimum laminate configuration for a super-stringer case study within the design space considered. Full article
(This article belongs to the Special Issue Characterization and Modeling of Composites, 4th Edition)
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39 pages, 29473 KB  
Article
Application of High-Pressure Water-Jet Slotting and Pre-Cracked Weakening Belt Technology in Gob-Side Entry Retaining for Roof Cutting and Pressure Relief
by Dong Duan, Jingbo Wang, Jie Li, Xiaojing Feng, Jian Zhang, Haolin Guo and Quandong Wang
Appl. Sci. 2026, 16(8), 3729; https://doi.org/10.3390/app16083729 - 10 Apr 2026
Viewed by 241
Abstract
To address the difficulty of directionally cutting thick, hard key strata in gob-side entry retaining using conventional blasting or hydraulic fracturing, this paper proposes a high-pressure water-jet slotting-induced pre-cracked weakening belt (PCWB) roof-cutting technology. Several finite-length PCWBs are arranged within the key stratum [...] Read more.
To address the difficulty of directionally cutting thick, hard key strata in gob-side entry retaining using conventional blasting or hydraulic fracturing, this paper proposes a high-pressure water-jet slotting-induced pre-cracked weakening belt (PCWB) roof-cutting technology. Several finite-length PCWBs are arranged within the key stratum and designed to coalesce into a plane, inducing through-going roof failure along a pre-determined path. A fixed–fixed key strata beam model combined with linear elastic fracture mechanics shows that the double-belt configuration forces the bending moment and shear force to concentrate in a thin rock bridge, where bending and shear stresses are amplified by about 1.5–2.8 times and 1.2–1.7 times, respectively, for 2–4 m thick key strata, providing a mechanical basis for preferential tensile–shear failure. Two-dimensional RFPA2D simulations reveal “width-dominated, length-assisted” control of cutting performance and identify an optimal weakening belt geometry of about 400 mm in width and 200 mm in length. Three-dimensional numerical modeling of parallel slot pairs indicates that intra-pair spacing of about 40 mm produces a continuous, directional weakening belt, whereas smaller or larger spacing causes, respectively, destructive interference or loss of connectivity. High-pressure water-jet tests (320 MPa, 0.33 mm nozzle, 1.30 mm/s traverse speed) on limestone blocks confirm that single slots can penetrate the full thickness and that cracks from adjacent slots coalesce through the rock bridge, forming a wide, straight fracture band. Field application in the Dongjiang Mine (3.5 m limestone key stratum, ~400 m depth) shows that the first weighting is advanced from the 7th to the 3rd day, peak support resistance is reduced from 8.8 to 7.4 MPa, and periodic weighting becomes more frequent and smoother. The PCWB technology is therefore suitable for panels with 2–4 m thick hard key strata at similar depths, offering precise key stratum severance, active stress relief, and safe, controllable construction. Full article
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28 pages, 5415 KB  
Article
Evaluation of Shear Performance of Integrated GFRP Stirrup Systems in Reinforced Concrete Beams
by Saruhan Kartal, Uğur Gündoğan, İlker Kalkan, Turki S. Alahmari, Abderrahim Lakhouit and Akin Duvan
Polymers 2026, 18(8), 921; https://doi.org/10.3390/polym18080921 - 9 Apr 2026
Viewed by 326
Abstract
This study investigates the shear behavior of glass fiber-reinforced polymer (GFRP)-reinforced concrete (RC) beams to address challenges associated with their low elastic modulus, absence of yielding, and reduced stirrup efficiency in bending regions. GFRP bars are increasingly adopted as an alternative to steel [...] Read more.
This study investigates the shear behavior of glass fiber-reinforced polymer (GFRP)-reinforced concrete (RC) beams to address challenges associated with their low elastic modulus, absence of yielding, and reduced stirrup efficiency in bending regions. GFRP bars are increasingly adopted as an alternative to steel due to their superior corrosion resistance, durability, and cost-effectiveness. This study focuses on the effects of stirrup type, stirrup spacing, and shear span-to-effective depth ratio on the structural performance of GFRP RC beams. Twelve full-scale beams were tested under four-point bending, incorporating three GFRP shear reinforcement configurations: fabricated closed stirrups, integrated straight bar systems, and discrete vertical bars. Experimental observations were analyzed in terms of failure modes, load-carrying capacity, energy absorption, and deformation characteristics. Results indicate that fabricated F-type stirrups provide the highest shear performance, though their effectiveness is limited by premature rupture at bending points. Site-integrated S- and T-type configurations offer practical alternatives, maintaining structural integrity while mitigating bend-related stress concentrations, but with slightly lower energy absorption and load capacity. Increasing stirrup spacing significantly reduces shear resistance and shifts failure from flexural to shear-dominated modes. Comparisons with widely used design codes and analytical models show that CSA S806-12 provisions offer the most reliable predictions, while other guidelines tend to over- or underestimate shear capacity depending on configuration and a/d ratio. The study highlights the importance of optimizing stirrup type and spacing to enhance the shear performance of GFRP RC beams. Findings provide valuable insights for improving current design methodologies, offering guidance for engineers seeking durable, corrosion-resistant alternatives to steel reinforcement in aggressive environments. This research demonstrates that innovative site-integrated stirrup configurations can bridge practical fabrication constraints without compromising overall shear performance, promoting more efficient and resilient GFRP RC structures. Full article
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12 pages, 1027 KB  
Article
Design Method for Combined Shear Connectors in Steel–UHPC Composite Beams
by Jingnan Ding, Tiange Gao and Jinsong Zhu
Materials 2026, 19(8), 1498; https://doi.org/10.3390/ma19081498 - 9 Apr 2026
Viewed by 346
Abstract
Steel–UHPC composite beams are widely used in bridge engineering due to their high strength, durability, and suitability for prefabricated construction. However, the mechanical performance of shear connectors in UHPC differs significantly, and the uniform use of a single connector type along the beam [...] Read more.
Steel–UHPC composite beams are widely used in bridge engineering due to their high strength, durability, and suitability for prefabricated construction. However, the mechanical performance of shear connectors in UHPC differs significantly, and the uniform use of a single connector type along the beam span may result in a mismatch between connector mechanical characteristics and regional force demands, leading to suboptimal force transfer and inefficient utilization of connector capacity along the beam span. While previous studies have mainly focused on the local behavior of individual connectors, a system-level design strategy considering regional force demands is still limited. This study proposes a system-level design method for combined shear connectors in steel–UHPC composite beams, in which headed stud connectors and trapezoidal composite dowel connectors are arranged according to bending moment distribution and interface shear demand, thereby integrating connector mechanical characteristics with the spatial variation in internal forces along the beam span. The design procedure includes shear span division, longitudinal interface shear calculation, and resistance verification of different connector types. The method is applied to a practical steel–UHPC composite beam in a long-span approach bridge. Results show that headed studs provide reliable uplift resistance and ductile behavior in negative bending regions, whereas composite dowel connectors are shown to be more suitable for shear-dominated positive bending regions due to their higher shear capacity and stiffness. The combined system ensures effective composite action under different stress states and reduces total connector steel consumption compared with a stud-only layout. The proposed approach advances connector design toward performance-oriented and system-level structural optimization, providing a practical framework for connector arrangement in steel–UHPC composite beams. Full article
(This article belongs to the Section Metals and Alloys)
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17 pages, 4006 KB  
Article
Intervertebral Disc Elastography to Relate Shear Modulus and Relaxometry in Compression and Bending
by Zachary R. Davis, P. Cameron Gossett, Robert L. Wilson, Woong Kim, Yue Mei, Kent D. Butz, Nancy C. Emery, Eric A. Nauman, Stéphane Avril, Corey P. Neu and Deva D. Chan
Bioengineering 2026, 13(4), 437; https://doi.org/10.3390/bioengineering13040437 - 8 Apr 2026
Viewed by 475
Abstract
Intervertebral disc degeneration is the most recognized cause of low back pain, characterized by the decline in tissue structure and mechanics. Image-based mechanical parameters (e.g., strain, stiffness) may provide an ideal assessment of disc function that is lost with degeneration, but unfortunately, these [...] Read more.
Intervertebral disc degeneration is the most recognized cause of low back pain, characterized by the decline in tissue structure and mechanics. Image-based mechanical parameters (e.g., strain, stiffness) may provide an ideal assessment of disc function that is lost with degeneration, but unfortunately, these remain underdeveloped. Moreover, it is unknown whether strain or stiffness of the disc may be predicted by MRI relaxometry (e.g., T1 or T2), an increasingly accepted quantitative measure of disc structure. In this study, we quantified T1 and T2 relaxation times and compared to in-plane strains measured with displacement-encoded MRI within human cadaveric discs under physiological levels of compression and bending. Using a novel inverse approach, we then estimated shear modulus in orthogonal image planes and regionally compared these values to relaxation times and 2D strains. Intratissue strain depended on the loading mode, and shear modulus in the nucleus pulposus was typically an order of magnitude lower than the annulus fibrosus. Relative shear moduli estimated from strain data derived under compression generally did not correspond with those from bending experiments. Only one anatomical region showed a significant correlation between relative shear modulus and relaxometry (T1 vs. µrel, coronal plane under bending). Together, these results suggest that future inverse analyses may be improved by incorporating multiple loading conditions into the same model and that image-based elastography and relaxometry should be viewed as complementary measures of disc structure and function to assess degeneration in future studies. Full article
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19 pages, 3805 KB  
Article
Dynamics of Rotor–Bearing Systems Under Time-Varying Stiffness Excitation of Helical Gears
by Yuanxing Huang, Yutong Fu, Wanying Huang, Yuanxin Fang and Xuezhong Fu
Symmetry 2026, 18(4), 624; https://doi.org/10.3390/sym18040624 - 8 Apr 2026
Viewed by 195
Abstract
The time-varying mesh stiffness excitation of helical gears impacts the vibration state of the rotor–bearing systems, while the existence of mechanical dynamic eccentricity makes the rotor–bearing dynamics equation a system of parametric excitation. To address this situation, the time-varying mesh stiffness of the [...] Read more.
The time-varying mesh stiffness excitation of helical gears impacts the vibration state of the rotor–bearing systems, while the existence of mechanical dynamic eccentricity makes the rotor–bearing dynamics equation a system of parametric excitation. To address this situation, the time-varying mesh stiffness of the helical gear is substituted into the coupled bending–torsion–axial dynamic equation of the rotor–bearing system. By considering dynamic eccentricity, the rotor’s vibration displacement response is calculated. The unified strength theory is introduced to compute the complex stress state. The study’s results indicate that time-varying stiffness significantly influences the system’s vibration characteristics, with the equivalent stress values exceeding those under twin-shear stress. This finding demonstrates the advantage of using the unified strength theory under high-load conditions, providing an essential reference for optimizing the dynamic performance of high-speed helical gear transmission systems. Full article
(This article belongs to the Section Engineering and Materials)
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