Elastic fields caused by eigenstrains in two joined half-spaces with an interface of coupled imperfections: Dislocation-like and force-like conditions

This paper presents the derivation of a set of the novel closed-form solutions for the eigenstrain-induced elastic fields in two joined half-space solids with an interface of coupled dislocation-like and force-like imperfects. A model is proposed to characterize the interfacial discontinuity propert...

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Bibliographic Details
Published in:	International journal of engineering science 2018-05, Vol.126, p.22-52
Main Authors:	Li, Donglong, Wang, Zhanjiang, Yu, Hao, Wang, Qian
Format:	Article
Language:	eng
Subjects:	Contact problems Convolution Coupled imperfect interfaces Dislocations Displacement Eigenstrain Elasticity Fast Fourier transform (FFT) Fast Fourier transformations Fourier transforms Galerkin method Half spaces Interfaces Joined half-spaces Joining Jumping coefficients Stresses
Online Access:	Get full text
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Summary:	This paper presents the derivation of a set of the novel closed-form solutions for the eigenstrain-induced elastic fields in two joined half-space solids with an interface of coupled dislocation-like and force-like imperfects. A model is proposed to characterize the interfacial discontinuity properties concerning displacements and stresses, which permits quantitative jumps of either the displacements or the stresses from one medium to the other. Basic Galerkin vectors in these two imperfectly joined half-spaces are derived based on the boundary conditions, and thus the elastic responses are obtained in explicit expressions. Taking advantage of the three-dimensional fast Fourier Transform algorithms for the convolution and correlation, the elastic fields subjected to one arbitrarily shaped inclusion or more can be efficiently and accurately evaluated. The influences of several types of interfaces, such as the perfectly bonded interface, the dislocation-like interface, and the force-like interface, on the stress and displacement transmissions are discussed. Cases for the elastic fields due to a cuboidal, a spherical, and an array of multiple cuboidal inclusions, are investigated.
ISSN:	0020-7225 1879-2197