The Fundamental Formulation for Inhomogeneous Inclusion Problems with the Equivalent Eigenstrain Principle

Round 1

Reviewer 1 Report

In this paper, the authors propose a fundamental formulation for inhomogeneous inclusion problems, based on the equivalent eigenstrain principle transforming the inhomogeneous inclusion problems into auxiliary equivalent homogenous inclusion problems. This formulation reduces the workload, enables the analytical solutions possible for a series of inhomogeneous inclusion problems, and provides a feasible way to evaluate the effective properties of composite materials in terms of their equivalent homogenous materials.

I believe this work is relevant and can be published in Metals after the following minor corrections:

C1.The reader of Metals might be interested in the practical application of this tool in studying the behavior of metal matrix composites.  Accordingly, I kindly ask you to comment on the results shown in Figure 7 in more detail, including at the end a brief discussion of how these determinations contribute to the prediction, for instance, of the initiation and evolution of damage in heterogeneous solids, such as composites.

C2.Please correct the following typos:

 

Page 1 line 35

Says: prosperities

Must say: properties

 

Page 8, Figure 3 caption line 187

Says: natation

Must Say: notation

 

Page 16 line 337

Says: Tylor’s

Must Say: Taylor’s

 

Page 16 line 338

Says: Tyler

Must Say: Taylor

 

 

Author Response

Please see the attached file. Thank you.

Author Response File: Author Response.pdf

Reviewer 2 Report

See the enclosed file.

Comments for author File: Comments.pdf

Author Response

Please see the attached file. Thank you.

Author Response File: Author Response.pdf