Complex Analysis of an Auxetic Structure under Compressive Loads
Round 1
Reviewer 1 Report
This paper details and investigates the performance indicators of an auxetic structure, namely anti-tetra-chiral. In order to provide a comprehensive set of performance indicators, two new indicators are discussed. The first analytical solution offers the displacement of the circular nodes during the compression process, while the second analytical solution evaluates the strain developed in the ligaments. The analysis takes into account the performances of the material in order to discern whether the structure will reach the complete plateau stage or prematurely fail.<br/>This research has certain engineering application significance, but there are still some flaw, such as the conclusion part, the authors gave a simple list of the main content of the article, it is suggested to re-summarize, highlight the innovation of the article.Author Response
Dear Reviewer,
We kindly thank you for your time and efforts in reviewing our manuscript.
We are also grateful for the opportunity of submitting a revised version.
Please receive the updated manuscript following the comments.
Thank you!
Best wishes!
Comment: This paper details and investigates the performance indicators of an auxetic structure, namely anti-tetra-chiral. In order to provide a comprehensive set of performance indicators, two new indicators are discussed. The first analytical solution offers the displacement of the circular nodes during the compression process, while the second analytical solution evaluates the strain developed in the ligaments. The analysis takes into account the performances of the material in order to discern whether the structure will reach the complete plateau stage or prematurely fail.
Response: Thank you for your comment!
Comment: This research has certain engineering application significance, but there are still some flaw, such as the conclusion part, the authors gave a simple list of the main content of the article, it is suggested to re-summarize, highlight the innovation of the article.
Response: Thank you for your comment and careful reading of the paper!
The Conclusion section was edited as following (line 487-):
The paper presents an analytical, experimental, and numerical analysis of an auxetic metamaterial. The parts investigated are subjected to compressive loads.
The introductory section presents recent findings on the current structural design trends, pointing to metamaterials and the existing manufacturing methods.
The use of AM methods allows for a wide range of materials to be used for the manufacturing of complex shapes, although, in some cases, the structural performances of the raw or processed material or the fabrication process itself cannot fully match the application.
Thus, it is necessary to investigate and develop a reliable material model necessary to evaluate a structure's behavior under various loads. A comparison between models developed using two different material models is presented. The numerical simulation results outline the influence of the use of the triaxiality concept implemented in the extended material model.
The analysis is complex and points to a series of parameters defining the structure's performance, namely:
- Poisson's ratio – that is the main parameter of an auxetic structure;
- plateau force – that displays the structural response of the structure under compressive loads;
- plateau length – that outlines the compression performance;
- buckling – that provides a required dimensional verification of the structure subjected to compression;
- ligament strain – that investigates the capability of the structure to develop the predicted plateau force during the plateau stage.
For these parameters, a set of analytical solutions were developed and discussed. The analytical solutions are simple to implement and can be successfully used to evaluate the preliminary of a complex structure. The paper is filling this gap by providing an analytical solution for strain analysis.
The experimental data fully support the analytical and numerical results. The analytical and numerical models accurately capture the true behavior of structures under applied loads.
Thank you for considering this response!
Author Response File: 
Author Response.pdf
Reviewer 2 Report
The manuscript Complex analysis of an auxetic structure under compressive loads is written very well. There are minor recoomendation and corrections to be addressed before procceding towarsd publication.
The langauge overall need a polish for better understanding to reviwer. Clear and cloncise scientific conten attract readership.
The author should make a comparitive study with new refernces
Overtaking Interactions of Multi-Ion Acoustic Shock Waves in a Magnetized Degenerate Plasma: An Application in White Dwarfs, Journal of Nanoelectronics and Optoelectronics 17 (2), 2022, 335-343 DOI: 10.1166/jno.2022.3203
Stress Analysis of Large Rotating Gear Under Braking Load Based on Explicit Contact Algorithm, Journal of Nanoelectronics and Optoelectronics 12(12) 2017, 1369-1373 DOI:10.1166/jno.2017.2284
Multi-Stage Distribution Network Space Load Forecasting Method Considering Demand Side Resources, Journal of Nanoelectronics and Optoelectronics 15(12), 2020, 1474-1481. DOI: 10.1166/jno.2020.2881
The author used a model for structural anallysis, It is recommeded to add a table based on different model and performances of their parameters.
The abstract is of very poor language, First mention background, the your onwn scientific study,. and finally about commercial application or benefits from the study.
Author Response
Dear Reviewer,
We kindly thank you for your time and efforts in reviewing our manuscript.
We are also grateful for the opportunity of submitting a revised version.
Please receive the updated manuscript following the comments.
Thank you!
Best wishes!
Comment:The manuscript Complex analysis of an auxetic structure under compressive loads is written very well. There are minor recoomendation and corrections to be addressed before procceding towarsd publication.
Response: Thank you for your comment!
Comment: The langauge overall need a polish for better understanding to reviwer. Clear and cloncise scientific conten attract readership.
Response: Thank you for your comment! The language was revised throughout the entire manuscript.
Comment: The author should make a comparitive study with new refernces
Overtaking Interactions of Multi-Ion Acoustic Shock Waves in a Magnetized Degenerate Plasma: An Application in White Dwarfs, Journal of Nanoelectronics and Optoelectronics 17 (2), 2022, 335-343 DOI: 10.1166/jno.2022.3203
Stress Analysis of Large Rotating Gear Under Braking Load Based on Explicit Contact Algorithm, Journal of Nanoelectronics and Optoelectronics 12(12) 2017, 1369-1373 DOI:10.1166/jno.2017.2284
Multi-Stage Distribution Network Space Load Forecasting Method Considering Demand Side Resources, Journal of Nanoelectronics and Optoelectronics 15(12), 2020, 1474-1481. DOI: 10.1166/jno.2020.2881
Response: Thank you for your comment!
The above mentioned reference were studied and for sure will be included in future work.
Comment: The author used a model for structural anallysis, It is recommeded to add a table based on different model and performances of their parameters.
Response: Thank you for your comment!
We added two lines to Table 2 with the following results (line 336-)
|
Predicted plateau force |
0.60 |
0.82 |
|
Predicted plateau length |
2.1 |
4.1 |
Thank you for considering this response!
Comment: The abstract is of very poor language, First mention background, the your onwn scientific study,. and finally about commercial application or benefits from the study.
Response: Thank you for your comment and careful reading of the paper!
The abstract was revised as following (line 8-):
Cellular structures subjected to compressive loads provide a reliable solution for improving safety. As a member of cellular material, auxetic metamaterials can enhance performances due to the definition of the negative Poisson ratio. In conjunction with Rapid Prototyping by Additive Manufacturing methods, complex structures can be manufactured using a wide range of materials. The paper debuts the development process of a reliable material model useful for the numerical simulation and further details and investigates the performance indicators of an auxetic structure, namely anti-tetra-chiral. These indicators are related to the force developed during the plateau stage, the length of the plateau stage, and the nominal dimensions of the structure to avoid buckling during compression. Two new indicators discussed in this paper aim to provide a complete set of performance indicators. The first analytical solution provides the displacement of the circular nodes during the compression. The second analytical solution estimates the strain developed in the ligaments. Considering the performances of the processed material, this analysis aims to determine whether the structure can develop the complete plateau stage or whether premature failure will occur.
Thank you for considering this response!
Author Response File: Author Response.pdf
Reviewer 3 Report
Dear Editor
This paper investigated the performance indicators of an auxetic structure, namely anti-tetra-chiral with an analytical solution based on a displacement of the circular nodes during the compression estimates the strain developed in the ligaments.
1. According to experimental determinations, the main advantages of AM technology are… this format is not proper for the introduction section.
2. Some of the parameters in the Poisson's ratio, Plateau force, Plateau length, and …should be defined in the manuscript.
3. Force–displacement curves (Fig.2 (a)) should be described in the manuscript.
4. The triaxiality curve [103] is presented in Figure 4. The results were previously investigated using a series of experiments and numerical simulations…please explain Fig.4 in the manuscript.
5. The conclusion needs to be supported by data results.
Author Response
Dear Reviewer,
We kindly thank you for your time and efforts in reviewing our manuscript.
We are also grateful for the opportunity of submitting a revised version.
Please receive the updated manuscript following the comments.
Thank you!
Best wishes!
Dear Editor
This paper investigated the performance indicators of an auxetic structure, namely anti-tetra-chiral with an analytical solution based on a displacement of the circular nodes during the compression estimates the strain developed in the ligaments.
Comment: According to experimental determinations, the main advantages of AM technology are… this format is not proper for the introduction section.
Response: Thank you for your comment and careful reading of the paper!
The language was revised throughout the entire manuscript.
Comment: Some of the parameters in the Poisson's ratio, Plateau force, Plateau length, and …should be defined in the manuscript.
Response: Thank you for your comment and careful reading of the paper!
Notations were added to Table 3 (line 336-).
|
Parameter |
Configuration A |
Configuration B |
|
Radius of the node |
||
|
The thickness of the ligament |
||
|
Lengths of the ligaments |
||
|
Width of the structure |
||
|
Poisson's ratio (theoretical) |
||
|
Number of cells (horizontal) |
3 |
3 |
|
Number of cells (vertical) |
3 |
3 |
|
Predicted plateau force |
0.60 |
0.82 |
|
Predicted plateau length |
2.1 |
4.1 |
Thank you for considering this response!
Comment: Force–displacement curves (Fig.2 (a)) should be described in the manuscript.
Response: Thank you for your comment and careful reading of the paper!
We added a minor correction to the text (line 275-)
The force – displacement data analysis reveals that a peak value is present, followed by a descending set of values. This is a characteristic of a softening mechanism produced by accumulating the damage in the specimen's cross section. The damage process is mainly defined by the void formation in the material, causing the decrease of the true area of the cross–section. Therefore, the measured stress–strain data requires correction prior to the application for the numerical simulation process.
Thank you for considering this response!
Comment: The triaxiality curve [103] is presented in Figure 4. The results were previously investigated using a series of experiments and numerical simulations…please explain Fig.4 in the manuscript.
Response: Thank you for your comment and careful reading of the paper!
The text was amended as following (line 310-)
The results were previously investigated using a series of experiments and numerical simulations to define the strain to fracture under various loading states (compression ; pure shear ; tensile ).
Thank you for considering this response!
Comment: The conclusion needs to be supported by data results.
Response: Thank you for your comment and careful reading of the paper!
The Conclusion section was edited as following (line 487-):
The paper presents an analytical, experimental, and numerical analysis of an auxetic metamaterial. The parts investigated are subjected to compressive loads.
The introductory section presents recent findings on the current structural design trends, pointing to metamaterials and the existing manufacturing methods.
The use of AM methods allows for a wide range of materials to be used for the manufacturing of complex shapes, although, in some cases, the structural performances of the raw or processed material or the fabrication process itself cannot fully match the application.
Thus, it is necessary to investigate and develop a reliable material model necessary to evaluate a structure's behavior under various loads. A comparison between models developed using two different material models is presented. The numerical simulation results outline the influence of the use of the triaxiality concept implemented in the extended material model.
The analysis is complex and points to a series of parameters defining the structure's performance, namely:
- Poisson's ratio – that is the main parameter of an auxetic structure;
- plateau force – that displays the structural response of the structure under compressive loads;
- plateau length – that outlines the compression performance;
- buckling – that provides a required dimensional verification of the structure subjected to compression;
- ligament strain – that investigates the capability of the structure to develop the predicted plateau force during the plateau stage.
For these parameters, a set of analytical solutions were developed and discussed. The analytical solutions are simple to implement and can be successfully used to evaluate the preliminary of a complex structure. The paper is filling this gap by providing an analytical solution for strain analysis.
The experimental data fully support the analytical and numerical results. The analytical and numerical models accurately capture the true behavior of structures under applied loads.
Thank you for considering this response!
Author Response File: Author Response.pdf
