Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/17382
Title: Non-uniform eigenstrain induced stress field in an elliptic inhomogeneity embedded in orthotropic media with complex roots
Authors: Nie, GH
Guo, L
Chan, CK 
Shin, FG
Keywords: Complex function method
Elliptic inhomogeneity
Normal and shear eigenstrains
Orthotropic
Polynomial conservation theorem
Polynomial distributions
Issue Date: 2007
Publisher: Pergamon Press
Source: International journal of solids and structures, 2007, v. 44, no. 10, p. 3575-3593 How to cite?
Journal: International journal of solids and structures 
Abstract: This paper deals with an elastic orthotropic inhomogeneity problem due to non-uniform eigenstrains. The specific form of the distribution of eigenstrains is assumed to be a linear function in Cartesian coordinates of the points of the inhomogeneity. Based on the polynomial conservation theorem, the induced stress field inside the inhomogeneity which is also linear, is determined by the evaluation of 10 unknown real coefficients. These coefficients are derived analytically based on the principle of minimum potential energy of the elastic inhomogeneity/matrix system together with the complex function method and conformal transformation. The resulting stress field in the inhomogeneity is verified using the continuity conditions for the normal and shear stresses on the boundary. In addition, the present analytic solution can be reduced to known results for the case of uniform eigenstrain.
URI: http://hdl.handle.net/10397/17382
ISSN: 0020-7683
EISSN: 1879-2146
DOI: 10.1016/j.ijsolstr.2006.10.005
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