On the Propagation of Shock-Waves in a Non-Homogeneous Elastic Medium

摘要

This paper is concerned with the propagation of shock-waves in a non-homogeneous isotropic plate of infinite extent and arbitrary thickness. The plate has a transverse cylindrical hole at which uniform shearing tractions are suddenly applied and thereafter steadily maintained; the body is other-wise free from loading. It is assumed that the shear modulus of the material is proportional to an arbitrary— not necessarily integral power of the radial distance from the axis of the hole, while no restriction is placed upon the (continuous) radial variation of Young's modulus. The solution obtained, which is discussed in detail, constitutes a generalization of results reached by Goodier and Jahsman [1]3, who considered the present problem for a homogeneous medium.