Theoretical Analytical Full-field Solutions and Image Forces of Homogeneous and Functionally Graded Magnetoelectroelastic Layered Half-plane
Date Issued
2008
Date
2008
Author(s)
Lee, Jui-Mu
Abstract
For most engineering applications of magnetoelectroelastic materials, the layered composite structures are preferred in future design concept. In this study, the two-dimensional analytical full-field solutions of a transversely isotropic magnetoelectroelastic layered half-plane subjected to generalized line forces and dislocations are presented. The results show that the complete solutions include Green’s function for originally applied singularities in an infinite medium and the other image singularities which are induced to satisfy boundary and interface conditions. The physical meaning of the solution is the image method. With the aid of the generalized Peach-Koehler formula, the explicit expressions of image forces exerted on dislocations are easily derived from the full-field solutions of the generalized stresses.n order to reduce the stress concentration at the interface in laminated structures, the functionally graded materials with continuous material property are developed in recent decade. The magnetoelectroelastic behavior of nonhomogeneous medium is becoming more complicated than that of homogeneous material. However, the physical field quantities along the interface for nonhomogeneous material are more continuous than those for homogeneous material if the material constants at the interface are continuous. A detail investigation and discussion of functionally graded magnetoelectroelastic solid is presented.
Subjects
Functionally graded magnetoelectroelastic material
Image Forces
Type
thesis
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