Systems of Inclusions in a Spatial Elastic Wedge

E. D. Pozharskaya; Пожарская Е. Д.; D. A. Pozharsky; Пожарский Д. А.; B. V. Sobol; Соболь Б. В.

doi:10.31857/S0032823524030119

Systems of Inclusions in a Spatial Elastic Wedge

Authors: Pozharskaya E.D.¹, Pozharsky D.A.¹, Sobol B.V.¹
Affiliations:
1. Don State Technical University
Issue: Vol 88, No 3 (2024)
Pages: 494-504
Section: Articles
URL: https://rjonco.com/0032-8235/article/view/675059
DOI: https://doi.org/10.31857/S0032823524030119
EDN: https://elibrary.ru/YZUYXI
ID: 675059

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Abstract

Contact problems are considered for two identical thin rigid elliptic inclusions in a three-dimensional elastic wedge of two-sided angle outer faces of which are subjected to rigid or sliding support. The problems are reduced to integral equations with symmetric kernels. Two dimensionless geometric parameters are introduced to characterize location of the inclusions in the bisecting half-plane of the wedge. Assuming linear connection between the parameters, the regular asymptotic method is used to solve the problems. The asymptotic for two inclusions is compared with corresponding solutions for unit inclusion in the wedge as well as for a periodic chain of inclusions the axis of which is parallel to the wedge edge.

Keywords

spatial elastic wedge, inclusions, integral equations

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References

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