State space approach to generalized thermoelastic problem with thermomechanical shock

摘要

In this work the state space formulation for one-dimensional problem of generalized thermoelasticity with one relaxation time is introduced. The resulting formulation together with the Laplace transform technique is applied to a thermomechanical shock half-space problem. The solution in the transformed domain is obtained. The inverse Laplace transforms is evaluated numerically. The results are obtained and represented graphically.