Nonlinear response for a general form of thermoelasticity equation in mediums under the effect of temperature-dependent properties and short-pulse heating

This article presents an algorithm for nonlinear transient response of an elastic body with temperature-dependent material features in a large deformation domain exposed to short-pulse heating. The principal target of this paper is employing a general form of thermoelasticity equation, including temperature and strain rate-dependent model using finite strain theory (FST). A thermally nonlinear study is conducted considering a significant gradient of temperature in comparison with the reference temperature. Based on FST, to present the couple equations of energy and motion in the reference medium, the second Piola-Kirchhoff stress and the Lagrangian strain-displacement are used. The obtained equations improved integrating temperature and strain rate-dependent technique and then solved using a Hermitian transfinite element technique. Wave propagation analysis under impulsive thermal loadings is also discussed in this work. Analyzing the phase lag in second sound waves and the impacts of temperature dependency of the medium properties are conducted. Based on the obtained results, the temperature dependency of the materials features has a significant influence on the thermoelastic transient responses. Results illustrate an absorbing feature of wave propagation. In addition, it is observed that there is a remarkable difference in the results obtained from using the general form of thermoelasticity and that of obtained from classic model.

Automated summary

This article presents an algorithm for studying the nonlinear transient response of an elastic body with temperature-dependent material features. The algorithm uses a finite strain theory to model the temperature and strain rate dependencies and solves the coupled equations of energy and motion using a finite element technique. The results show that the temperature dependency of the material features has a significant influence on the thermoelastic transient response.