Plane Stressed State and Bending of Nonhomogeneous Transversally Isotropic Plate

摘要

Generalization of the theory of elastic equilibrium of a thick plate (1, 2) is given for nonhomogeneous transversally isotropic plates of two types: (a) multilayer and (b) having elastic moduli, continuously changing in thickness. There are considered plates, being in plane stressed state and bent by loads distributed along the edges arbitrarily, and also uniformly along one of the plane surfaces. The constructed theories of plane stressed state and bending do not use hypothesis of straight normals and others (besides those usually taken in the linear theory of elasticity) and permit determining stresses and displacements, strictly satisfying all equations of the theory of elasticity, conditions on plane surfaces and on contact surfaces of layers. On lateral surface (on the edge) generally there are satisfied averaged or integral conditions, as in the theory of thin plates. (Author)