Dynamic thermal shock problem in a composite slab by the method of combined characteristic-difference.

Abstract

A set of generalized equations which govern the propagation of one-dimensional plane, cylindrical, and spherical waves in elastic media subjected to a time-dependent temperature field is presented. The numerical procedure employs the characteristic relationships on boundaries and on interfaces between media with different material properties while using an explicit finite difference scheme at all other points. Fundamental problems for plane waves are solved for examples, and the results show clearly the propagation of discontinuities in stress and velocity or their slopes due to a step or a ramp heating on the boundary. Comparison of the results with those available from other investigators yields excellent agreement. Results are also given for stress wave propagations in a composite slab consisting of two layers with different material properties.