Effective elastic properties of transversely isotropic materials with concave pores
Résumé
The aim of this paper is to extend recent works devoted to the study of the effect of 3D pores of concave shape
embedded in isotropic matrix to the case of transversely isotropic (TI) matrix. In the first part of the paper, approximate
relations for the compliance contribution tensor of pores of two reference shapes, supersphere and axisymmetrical
superspheroid, are developed on the basis of 3D Finite Element Modelling, recently presented in a companion paper,
and known exact solutions for the limiting cases of spherical pores and circular crack. In the second part application
to effective elastic coefficients of transversely isotropic materials such as clay rocks, in the frame of homogenization
theory is presented to illustrate the impact of concavity parameter on overall properties.
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