The present paper describes the evaluation of heat displacement based hybrid transfinite element formulations for their applicability to coupled/uncoupled thermally induced stress wave propagation problems. The hybrid formulations developed herein utilize the concept of heat displacement which is related to temperature changes in the manner mechanical displacement is related to strain. Therein, transform methods in conjunction with classical Galerkin schemes and contemporary finite element formulations are employed for predicting the dynamic response of coupled/uncoupled thermally induced stress wave propagations. In particular, the test cases analyzed pertain to the well-known Danilovskaya's models of coupled/uncoupled thermoelasticity. Applicability to these models is demonstrated via a unified hybrid thermal-structural approach, thereby retaining the advantages of heat displacement and transfinite element formulations.