Application of the modified law of heat conduction and state equation to dynamical problems of thermoelasticity

Fourier's law of heat conduction in the one-dimensional case without heat source and the corresponding state equation are modified to account for the rapid propagation of thermodynamic phenomena, applying the approach of Szekeres (1980). The explicit linear case is treated analytically, and the implications for dynamic problems in thermoelasticity (such as those occurring in reactor technology, supersonic flight, spacecraft design, MHD generators, and high-speed internal-combustion engines) are discussed.