Axisymmetric problem of a nonhomogeneous elastic layer

摘要

The paper deals with a theoretical treatment of elastic behavior for a medium with nonhomogeneous materials property, which is defined gy the relation G(Z)=G_0~Zm, i.e., shear modulus of elasticity G varies with the dimensionless axial coordinate Z by the power product form, arbitrarily. Fundamental differential equation for such nonhomogeneous medium has been already proposed in [5]. It is given by a second-order partial differential equation. However, it was found that the fundamental equation is not sufficient in general to solve several Kinds of boundary-value problems.