Theoretical analysis of in-plane problem in functionally graded nonhomogeneous magnetoelectroelastic bimaterials
Journal
International Journal of Solids and Structures
Journal Volume
46
Journal Issue
24
Pages
4208-4220
Date Issued
2009
Author(s)
Abstract
By using the Fourier-transform technique, the two-dimensional full-field solutions of transversely isotropic functionally graded magnetoelectroelastic bimaterials subjected to generalized line forces and edge dislocations are presented in this study. For the nonhomogeneous problem, the mathematical derivation is much complicated than the homogeneous case since the material properties vary with coordinate. From the framework of the generalized stress function approach, only the generalized strain compatibility equations needed to be satisfied. A powerful analytical method is developed to solve the functionally graded magnetoelectroelastic planar problem. For the special case of the nonhomogeneous bimaterial with continuous material properties at the interface, it is shown in this study that all magnetoelectroelastic fields are continuous at the interface. Furthermore, this functionally graded bimaterial has the identical contour slopes for the generalized stresses (except for σxx(j)) across the interface. For the computational results, the full-field distributions of generalized stresses and strains in the nonhomogeneous bimaterial subjected to line forces or edge dislocations are presented with different functionally graded parameters. © 2009 Elsevier Ltd. All rights reserved.
Type
journal article