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Exterior elastic fields of non-elliptical inclusions characterized by Laurent polynomials

Authors :
Y.-G. Lee
W.-N. Zou
Source :
European Journal of Mechanics - A/Solids. 60:112-121
Publication Year :
2016
Publisher :
Elsevier BV, 2016.

Abstract

In this paper, a new method to analytically carry out the exterior elastic fields of a class of non-elliptical inclusions, i.e., those characterized by Laurent polynomials, is developed. Two complex variable fields, which exactly characterize the Eshelby’s tensor, are explicitly achieved for the hypocycloidal and the quasi-parallelogram inclusions. Numerical examples show that the exterior fields near the inclusion are dominated by the boundary shape, but the fields far away from the inclusion tend to be convergent and can be well approximated by those of its equivalent circular/elliptical inclusion. These solutions are firstly reported, and largely make up for the deficiency in the list of the analytical results of non-elliptical inclusions in 2D isotropic elasticity.

Details

ISSN :
09977538
Volume :
60
Database :
OpenAIRE
Journal :
European Journal of Mechanics - A/Solids
Accession number :
edsair.doi...........392de29b8bff014aba5f7e0b23622092
Full Text :
https://doi.org/10.1016/j.euromechsol.2016.06.010