抄録
This paper is concerned with the numerical treatment of one-spatial dimensional thermal and mechanical waves in nonlinear elastic solids subjected to impulsive heating. The formulation of the problem is based on the generalized theory of thermoelasticity proposed by Lord and Shulman. Presented is a set of generalized equations, which govern the propagation of plane, cylindrical, and spherical waves in nonlinear elastic solids. The system of equations is analyzed by the use of characteristics, yielding characteristics, and characteristic equations. Numerical calculations are carried out for the thermal and mechanical waves in nonlinear elastic plates subjected to the impulsive heating, and the results are presented in the graphical form.
