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Article
Peer-Review Record

Interfacial Stresses for a Coated Irregularly Shaped Hole Embedded in an Infinite Solid under Point Heat Singularity

Mathematics 2023, 11(4), 802; https://doi.org/10.3390/math11040802
by Yi-Lun Liao, Shao-Chen Tseng and Ching-Kong Chao *
Reviewer 1: Anonymous
Reviewer 2: Anonymous
Reviewer 3: Anonymous
Reviewer 4: Anonymous
Mathematics 2023, 11(4), 802; https://doi.org/10.3390/math11040802
Submission received: 5 January 2023 / Revised: 2 February 2023 / Accepted: 2 February 2023 / Published: 4 February 2023

Round 1

Reviewer 1 Report

The paper addresses an analysis of the stress and temperature state for a plane problem describing deformation of an infinite medium with a polygonal hole having a coating of finite thickness. The solution is based on the complex variables technique. With complex potentials authors represent stresses and temperature fields. A corresponding numerical procedure is defined.

The topic is quite interesting. Nevertheless the main question relates to the influence of the coating on the stress and temperature field. In general, the difference between elastic moduli and temperature expansion coefficient should be discussed in many details. The second issue relates to the stress concentration in corners. It seems that sharp changes should result in singularity in stresses. So this matter should be also discussed.

As a result, I recommend the paper for publication after major review.

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Reviewer 2 Report

Good work, good soundness.

Some points for improvement.

1. What is the practical value of this research? Please, clarify.

2. Where the results will implement?

3. Is there any restrictions in the results' implementation?

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Reviewer 3 Report

The paper undertakes the interfacial stresses for a coated irregularly shaped hole embedded in an infinite solid under point heat singularity.

The paper is interesting. Please:

- verify the article linguistically,

- add references to all mathematical formulas taken from the literature,

- if it's possible - present selected results in tables form.

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Reviewer 4 Report

The article shows a comprehensive study of the effect of the shape factor of inclusion, modulus, and thermal expansion of coating on interfacial stress. However, there are a few things that can be suggested to improve the impact of the result, such as:

1. It would be great if you could give a brief explanation of how it can be applied to functionally graded coating or other approaches that are applied to reduce mismatch.

2. Please elaborate more on how to control the shape of inclusion.

3. Please emphasize more the benefit of the research. For example, give some examples of how to improve the distribution of temperature contour on a given shape, etc.

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Round 2

Reviewer 1 Report

I recommend tha paper for publication as is

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