Multi-Criteria Calibration of a Thermo-Mechanical Model of Steel Plate Welding in Vacuum

Round 1

Reviewer 1 Report

Comments and Suggestions for Authors

Line 158: Please also label the elements in Figure 1b. It is difficult for someone who has not done the experiments to recognise everything in the Figure 1b.

Line 165: Please specify the width and depth of WP and HAZ in the left part of the Figure 2.

Line 187: Please explain "HT"

How long was the cooling time t8/5? How is the transformation of austenite into ferrite, bainite and martensite during cooling taken into account in the model?

Author Response

Comments 1: Line 158: Please also label the elements in Figure 1b. It is difficult for someone who has not done the experiments to recognise everything in the Figure 1b.

Response 1: Added description in Line 166.

Comments 2: Line 165: Please specify the width and depth of WP and HAZ in the left part of the Figure 2. 

Response 2: A figure has been replaced in Line 170.

Comments 3: Line 187: Please explain "HT"

Response 3: Wrong abbreviation. Replaced by "HF" - Line 191.

Comments 4: How long was the cooling time t8/5? How is the transformation of austenite into ferrite, bainite and martensite during cooling taken into account in the model?

Response 4. The time for cooling from 800 °C to 500 °C in HAZ is not a calibration parameter and therefore the result for it is not presented. The transformations of the steel is taken into account through the specific heat capacity (SHC). SHC is highly non-linear and for this reason latent heat is used (Table 3).

Reviewer 2 Report

Comments and Suggestions for Authors

Dear authors, after reviewing your contribution, it is worth mentioning that this topic is very interesting but many work has been done about it. Is important to clarify the relevance and/or innovation for this work. This must be very clear in the introduction. In the materials and methods section is important to include the welding process that was applied, as well the parameters. Type of welding configuration, not just an image showing the sample, I asume that the employed configuration is IG. I strongly believe that for simulation an experimentation must be followed, however, microstructure micrographs can enriched the simulated results. 

I hope the conclusions missing is a mistake since in the document that I revised were not there. Is mandatory to include conclusions section. 

Comments on the Quality of English Language

Moderate editinf english language is required. 

Author Response

Comments 1: Is important to clarify the relevance and/or innovation for this work. This must be very clear in the introduction. 

Response 1: In order to emphasize the results obtained and the contribution of the work, a text has been added - Lines 131-133.

Comments 2: In the materials and methods section is important to include the welding process that was applied, as well the parameters. Type of welding configuration, not just an image showing the sample, I asume that the employed configuration is IG. 

Response 2: Added information about employed configuration - Line 156.

Comments 3:  I strongly believe that for simulation an experimentation must be followed, however, microstructure micrographs can enriched the simulated results.

Response 3: According to [23], the calibration procedure is performed on the basis of experimental results. This work describes original data from the authors' experiments - p. 2.1.

Comments 4: I hope the conclusions missing is a mistake since in the document that I revised were not there. Is mandatory to include conclusions section. 

Response 4: According the template fail jmmp-template.docx p. 5. Conclusions : "This section is not mandatory but can be added to the manuscript if the discussion is unusually long or complex". The mandatory is point 4. Discussion.

 

Reviewer 3 Report

Comments and Suggestions for Authors

This paper proposes a methodology for multi-criteria calibration of a thermo-mechanical model for numerical simulation of welding in a vacuum. A finite element model of a steel plate is constructed, and experimental and computational data are obtained. An inverse problem is formulated for vector identification of five calibration parameters from the heat flow model, which are evaluated for adequacy according to four criteria. The parameter space investigation method (PSI) is used for quasi-uniform probing of multidimensional regions. Finally, a Pareto-optimal set is defined and reduced ranked Pareto subsets are determined utilizing the μ-selection method, along with identifying the Salivated optimum. However, the authors still have some issues that need to be addressed before the paper can be published.

1. On page twelve of the article, a discussion on sensitivity analysis could be added regarding the selection of variable parameters and the optimization process. This would help assess the impact of different parameters on the results, thereby further enhancing the reliability of the model.
2. On page twelve of the article, the role of the "decision maker" in selecting compromise solutions could be further explained, particularly regarding the basis and process of their decision-making. Additionally, in the concluding section, it is recommended that the authors briefly summarize the main results and their significance, while also highlighting potential directions or suggestions for future research to enhance the study.
3. On page thirteen of the article, when discussing the results of the multi-criteria optimization, an analysis and discussion of the results could be added, particularly regarding the impact of different error ranges (e.g., G = 20%) on the optimization outcomes. This would enhance the model's adaptability and provide a summary of the results, discussing their potential implications in practical applications, as well as possible directions or improvement suggestions for future research.
4. On page fourteen of the article, when mentioning the solution with a "rank RE = 6," it is advisable to add its significance to the optimization process. Additionally, the mentioned "minimum and maximum error" values could be further analyzed to discuss their impact on the model.

Comments on the Quality of English Language

polish

Author Response

Comment 1: On page twelve of the article, a discussion on sensitivity analysis could be added regarding the selection of variable parameters and the optimization process. This would help assess the impact of different parameters on the results, thereby further enhancing the reliability of the model.

Response 1: Rows 386-389.

Comment 2: On page twelve of the article, the role of the "decision maker" in selecting compromise solutions could be further explained, particularly regarding the basis and process of their decision-making. Additionally, in the concluding section, it is recommended that the authors briefly summarize the main results and their significance, while also highlighting potential directions or suggestions for future research to enhance the study.

Response 2: Rows 379, 433, 440.

Comment 3: On page thirteen of the article, when discussing the results of the multi-criteria optimization, an analysis and discussion of the results could be added, particularly regarding the impact of different error ranges (e.g., G = 20%) on the optimization outcomes. This would enhance the model's adaptability and provide a summary of the results, discussing their potential implications in practical applications, as well as possible directions or improvement suggestions for future research.

Response 3: rows 419, 438.

Comment 4: On page fourteen of the article, when mentioning the solution with a "rank RE = 6," it is advisable to add its significance to the optimization process. Additionally, the mentioned "minimum and maximum error" values could be further analyzed to discuss their impact on the model.

Response 4: rows 430, 435.

Round 2

Reviewer 2 Report

Comments and Suggestions for Authors

Dear authors, thank you for provide the missing information and to improve this manuscript. 

Best regards. 

Reviewer 3 Report

Comments and Suggestions for Authors

The revised manuscript is suited for publication.

Comments on the Quality of English Language

Polish