Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/13094
Title: Non-uniform eigenstrain induced anti-plane stress field in an elliptic inhomogeneity embedded in anisotropic media with a single plane of symmetry
Authors: Nie, GH
Chan, CK 
Luo, L
Shin, FG
Issue Date: 2009
Publisher: Springer Wien
Source: Acta Mechanica, 2009, v. 206, no. 1-2, p. 23-37 How to cite?
Journal: Acta Mechanica 
Abstract: A closed-form solution is derived for an anti-plane stress field emanating from non-uniform eigenstrains in an elliptic anisotropic inhomogeneity embedded in anisotropic media with one elastic plane of symmetry. The prescribed eigenstrains are characterized by linear functions of the inhomogeneity in Cartesian coordinates. By means of the polynomial conservation theorem, use of complex function method and conformal transformation, explicit expressions for stresses at the interior boundary of thematrix and the strain energy for the elastic inhomogeneity/matrix system are obtained in terms of coefficients in the linear functions. The coefficients are evaluated analytically using the principle of minimum potential energy of the elastic system, leading to the anti-plane stress field. The resulting solution is verified by means of the continuity condition for the shear stress at the interface between the elliptic inhomogeneity and matrix. The present solution is shown to reduce to known results for uniform eigenstrains with illustration by numerical examples.
URI: http://hdl.handle.net/10397/13094
DOI: 10.1007/s00707-008-0083-x
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