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The bending problem of a thin rectangular plate with in-plane variable stiffness is studied. The basic equation is formulated for the two-opposite-edge simply supported rectangular plate under the distributed loads. The formulation is based on the assumption that the flexural rigidity of the plate varies in the plane following a power form, and Poisson’s ratio is constant. A fourth-order partial differential...
Functionally graded piezothermoelastic material (FGPM) is a new piezothermoelastic material. Research work on its mechanical behavior has still been inadequate so far, which leaves room for a further discussion on the three-dimensional piezothermoelastic coupled analysis of FGPM annular plates. Suppose that all the electric, thermal and mechanical material properties have the same exponential distribution,...
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...
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