PONE-D-21-09907

Line strain representation and shear strain representation of strain state

PLOS ONE

Dear Dr. Cheng,

Thank you for submitting your manuscript to PLOS ONE. After careful consideration, we feel that it has merit but does not fully meet PLOS ONE’s publication criteria as it currently stands. Therefore, we invite you to submit a revised version of the manuscript that addresses the points raised during the review process.

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Academic Editor

PLOS ONE

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Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #1: Partly

Reviewer #2: Yes

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2. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: Yes

Reviewer #2: N/A

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3. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #1: Yes

Reviewer #2: No

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4. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #1: No

Reviewer #2: Yes

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5. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #1: The paper aims to use linear strain expression method (LSEM) and shear strain expression method (SSEM) to represent the strain state in 3D space; however, major modifications should be done before publications as follows:

1. The title must be revised.

2. In the introduction, the references are old and need to be updated as well as previous studies on this work necessary to add in order to reflect the novelty of the paper.

3. Conventional representation of strain state is ambiguity and the structure of sentences need to be improved.

4. Please clarify this sentence “The strain in six special directions in Fig. 4 can be measured by strain gauges. After calculating equations (2) through (4), equation (8) and its inverse matrix can be obtained. Then, the strain state of equation (1) at the measurement point can be obtained according to equation (10)”.

5. The number of equation need to be checked “Therefore, if the strain state of a point is known, the line strain of the point in any direction can be obtained by equation (2.5)”. Similar mistakes should check through the manuscript.

6. What is the base of your assumption “Fig. 4 suggests that the line strain representation method is equivalent to the traditional strain state representation, as shown below”. The location of this sentence needs to be changed.

7. The format of Section 3 need to be changed and include the three dimensional state as a subtitle.

8. Please refer to the reference for this sentence ”The one-dimensional strain state is also the strain state with only one line strain”

9. The base of the derived equations such as equation 19 and 30 is weak and need to enhance by related references.

10. Why did the author choose the incompressible materials? Please clarify.

11. In the case study of Section 5, the comparison is not clear and also the author did not illustrate the reason about choosing the quadrangular frustum and rotating tetrahedron as case study.

12. The English language must be improved.

Reviewer #2: The authors explored about two strain state expression methods, called linear strain expression method (LSEM) and shear strain expression method (SSEM), for incompressible materials with only linear strain and shear strain as parameters respectively. In fact, to understand deformation characteristics, revealing yielding process, establishing constitutive models, and developing testing apparatus or equipment are interesting topic. However, the present study still needs some modifications to be more reliable for publication. The following are some comments that should be addressed before publishing:

1. It is preferring to stress out about the novelty of the topic in introduction section.

3. More newly studies could be cited in order to strengthen the literature review.

4. The conclusion needs to be explained more clearly about the objectives achieved.

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Reviewer #1: Yes: Mohamed H. Mussa

Reviewer #2: No

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Line strain representation and shear strain representation of 3D strain state

PONE-D-21-09907R1

Dear Dr. Cheng,

We’re pleased to inform you that your manuscript has been judged scientifically suitable for publication and will be formally accepted for publication once it meets all outstanding technical requirements.

Within one week, you’ll receive an e-mail detailing the required amendments. When these have been addressed, you’ll receive a formal acceptance letter and your manuscript will be scheduled for publication.

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Kind regards,

Ahmed Mancy Mosa, Ph.D.

Academic Editor

PLOS ONE

Additional Editor Comments (optional):

Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. If the authors have adequately addressed your comments raised in a previous round of review and you feel that this manuscript is now acceptable for publication, you may indicate that here to bypass the “Comments to the Author” section, enter your conflict of interest statement in the “Confidential to Editor” section, and submit your "Accept" recommendation.

Reviewer #2: All comments have been addressed

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2. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #2: Partly

**********

3. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #2: No

**********

4. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #2: Yes

**********

5. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #2: Yes

**********

6. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #2: The specific changes have been noted in the updated manuscript. congratulations on your accomplishments.

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7. PLOS authors have the option to publish the peer review history of their article (what does this mean?). If published, this will include your full peer review and any attached files.

If you choose “no”, your identity will remain anonymous but your review may still be made public.

Do you want your identity to be public for this peer review? For information about this choice, including consent withdrawal, please see our Privacy Policy.

Reviewer #2: No