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Three dimensional elasticity solutions for plates

Three dimensional elasticity solutions for plates

A Navier-type method for finding the exact three-dimensional solution for isotropic thick and thin rectangular plates is presented. The extension of this procedure to the case of multilayered plates (composite structures) is straightforward and can be found in the listed references . The method presented in these lectures uses the Mixed Form of Hooke's Law (MFHL) which leads one to write the boundary conditions on the top and bottom surfaces of the plate directly in terms of transverse stresses. Mixed Form of Hooke's Law is obtained from the Classical Form of Hooke's Law (CFHL). The displacements, stresses and external loads are expressed by using trigonometric functions. It is possible to demonstrate that this particular choice satisfies the simply supported boundary conditions. The... Show More
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