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This paper is to study the stress distribution of a functional gradient material plate with a circular hole under symmetric load. With using the method of homogenized layer and neglecting the thermal effects on the structure, the solution for the stress distribution of the functional gradient material plate having radial arbitrary elastic modulus is derived based on the known results of a single thick...
This paper presents an investigation for analysis of the multi-field coupling problems of piezoelectric, Magneto-electro-elastic and functionally graded materials. A novel solid shell element formulation is developed by using the assumed natural strain and enhanced assumed strain method, the number of internal degree of freedoms is remarkably reduced and the computational efficiency is improved. The...
SH wave has high application values because of its special propagating characteristics. Based on linear three-dimensional elasticity, circumferential wave governing equations of orthotropic graded hollow cylinder expressed in the displacement components are obtained. The axial displacement is independent of the other two directions. The waves can be decomposed of SH wave and Lamb-like wave. An orthogonal...
A semi-analytical method, which makes use of the state space method and the one-dimensional differential quadrature method, is used to obtain the static and dynamic responses of a functionally graded magnetoelectroelastic circular plate with the material property varying only in the thickness direction. The analytical solution in the thickness direction can be obtained by using the state space method...
This work presents an approach named direct displacement method to investigate the free axisymmetric vibrations of transversely isotropic FGM circular plates whose material properties can be varied arbitrarily along the thickness of the plate. If the variation of the material properties obeys the exponential law, three-dimensionally exact solutions are obtained for two specific boundary conditions,...
The focus of this paper is to study an infinite composite hollow cylinder consisting of a homogeneous piezoelectric layer and a functionally graded elastic layer. A general linear spring-layer model is employed to characterize the interface between the two layers, which may be perfect or imperfect. Directly based on the three-dimensional exact equations of elasticity and piezoelasticity, the state...
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