Three-dimensional elastic behavior of a nonhomogeneous layer

摘要

This paper deals with the theoretical treatment of a three-dimensional elastic problem governed by a cylindrical coordinate system (r, θ, Z) for a medium with nonhomo- geneous material property. This property is defined by the relation G(z) = G_0(1+Z/a)~m where G_0, a and m are constants, i.e., shear modulus of elasticity G varies arbitrarily with the axial Coordinate Z by the power product form.