Abstract
This paper presents a higher order theory for bending of homogeneous orthotropic elastic plates. The inplane stresses are expanded into series of the Legendre polynomials in the thickness coordinate. The thicknesswise stresses are given as a result of integration of the equilibrium equations of three-dimensional elasticity. The series are truncated so as to contain terms up to the third order. The plate variables are defined and the governing equations as well as the boundary conditions are formulated by means of weighted integral and the principle of complementary energy. The theory consists of 16 governing equations for 16 dependent variables and 6 boundary conditions. If the third order terms are neglected, it reduces to the Reissner type theory. If the Poisson-Kirchhoff hypothesis is introduced, it further reduces to the classical theory.
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