The Proceedings of the Materials and Mechanics Conference
Online ISSN : 2424-2845
2016
Session ID : GS-20
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Analysis of anti-plane problems for isotropic elastic material with two elliptical voids
Mutsumi MIYAGAWATohru SASAKIYukio MIYASHITAHitoshi NAKAMURA
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CONFERENCE PROCEEDINGS FREE ACCESS

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Abstract

We derive a solution for two elliptical voids that are free boundary to an elastic medium (matrix) of infinite extent under anti-plane problem. These two voids have different long and short radii and different central points. When there are two voids in the matrix, we consider the matrix as a part of poroelastic matrix. The matrix is subjected to arbitrary loading, for example, by uniform stress and concentrated force and so on. The solution is obtained as a series with an explicit general term involving the complex potential of the corresponding homogeneous problem. This procedure is referred to as heterogenization. Several numerical examples are presented with graphs.

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© 2016 The Japan Society of Mechanical Engineers
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