Boundary effect on the elastic field of a semi-infinite solid containing inhomogeneities.

ABSTRACT: The boundary effect of one inhomogeneity embedded in a semi-infinite solid at different depths has firstly been investigated using the fundamental solution for Mindlin's problem. Expanding the eigenstrain in a polynomial form and using the Eshelby's equivalent inclusion method, one can calculate the eigenstrain and thus obtain the elastic field. When the inhomogeneity is far from the boundary, the solution recovers Eshelby's solution. The method has been extended to a many-particle system in a semi-infinite solid, which is first demonstrated by the cases of two spheres. The comparison of the asymptotic form solution with the finite-element results shows the accuracy and capability of this method. The solution has been used to illustrate the boundary effects on its effective material behavi

SUBMITTER: Liu YJ 

PROVIDER: S-EPMC4528662 | biostudies-literature | 2015 Jul

REPOSITORIES: biostudies-literature