Transient Response of Dynamic Stress Concentration around a Circular Opening: Incident SH Wave

Round 1

Reviewer 1 Report

The study investigates the transient response of stress concentration around a circular opening using an analytic expression derived from wave function expansion method. Authors further used two coefficients dynamic stress concentration and stress peak to understand the relationship between aperture size and transient response. However, after careful review some critical concerns has been found that should be addressed.

1) Abstract should be modified for better understanding. “The research findings…” sentence is unclear. “The figure show…” sentence is redundant.

2) Figure 1 is not clear it should be improved. There should be an image showing exactly problem domain with the aperture and showing the boundary conditions.

3) The results are shown with only three radii (1, 2, 3). Results from more radii are needed to obtain more confident conclusions.

4) Validation of results should be provided. Comparison of the results with some experiments or similar numerical techniques is missing.

5) The limitations or shortcomings of the study should be discussed.

Can be improved

Author Response

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Author Response File: Author Response.pdf

Reviewer 2 Report

The manuscript proposes a methodology and presents the results of the study of the transient process of stress concentration around a circular hole. The authors focus on the composition of the shock wave, which consists of sound waves of several frequencies. The results obtained show that the coefficient of dynamic stress concentration depends on the size of the hole. The authors showed that the peak of the stress concentration factor occurs mainly in the early stages of the transient process. In addition, an important conclusion for practice is obtained that large radii can induce variable stresses in the material, which can lead to fatigue failure.

The research topic is consistent with Applied Sciences.

The text is clear and easy to read.

The research methods are adequate to the topic of the paper.

The conclusions are consistent with the evidence and arguments presented.

What is the main question addressed by the research?

This study investigates the transient response of stress fields in circular apertures. The incident wave considered in this research is the SH wave encompassing multiple frequencies, aiming to simulate realistic impact scenarios.

Does it address a specific gap in the field?

Although a considerable amount of research has been carried out in the area of stress concentration around holes, most of them are devoted to the study of the steady-state response to dynamic stresses. Analytical solutions for the transient behavior of materials with holes are presented in few papers. The authors have developed a new rather universal theoretical approach to obtain analytical solutions for dynamic stresses around a circular hole.

What does it add to the subject area compared with other published material?

Along with the theoretical justification of a new approach providing a solution to a certain class of problems, the authors have realized the proposed strategy for solving complex issues in applied problems. The authors found that:   

1. The radii of a circular hole significantly affect the dynamic stress concentration factor. When designing structures or evaluating the strength of materials, it is crucial to consider the concentration of dynamic stresses in the hole.

2. Peak stresses mainly appear in the early stage of the transient process.

3. The authors reasoned that the risk of fatigue failure increases as the radius of the circular hole increases. This effect can also be useful for improving the efficiency of mining operations (https://doi.org/10.3390/su142013347).

Additional controls are not required in this study.

The conclusions are consistent with the evidence and arguments presented and they answer the main question.

All Figures (1 - 9) and Table (1) are quite acceptable.

Additional Comments:

While the reference list is acceptable, it would be useful to supplement the text with references to articles published after 2021 to emphasize the relevance of the research topic.

Author Response

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Author Response File: Author Response.pdf

Reviewer 3 Report

This study investigates the stress concentration around a circular opening. The exploration of shock wave composition, involving SH waves with multiple frequencies, and the subsequent analytical derivations provide valuable insights into transient stress responses. The research findings emphasize the aperture's influence on dynamic stress concentration, its dependence on size, and the critical early-stage concentration of stress peaks. Notably, larger radii inducing alternating stress patterns and potential fatigue failure underscore the practical implications of the study's outcomes. As a reviewer, I appreciate the valuable insights provided by the study. Therefore, I recommend the publication of this manuscript after incorporating the following comments.

1.      The abstract lacks a comprehensive summary of the work. It is crucial to include the significance of the study, research problem, methodology employed, main results obtained, and the future implications of the findings.

2.      The introduction should be extended by adding more relevant studies, highlighting the research problem, research gap and novelty, and clarify the significance of the presented study, which is currently not evident.

3.      The reference list is short. Add more relevant and recent studies.

4.      In Section 5, more discussion is required to provide insight into the results and their implications.

5.      Convergence studies are suggested to check the applicability of the present method.

6.      Conclusion section must include the main findings and advantages of the methodology. Also some detail must be given for novel, practical applications of title problem.

7.      The authors need to highlight the significance of the study's contributions to the broader field and identify the novel or innovative aspects of the research.

Comments for author File: Comments.pdf

The English language used in the paper is of acceptable quality. However, the article requires a check for minor grammatical errors.

Author Response

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Author Response File: Author Response.pdf

Round 2

Reviewer 1 Report

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