A time-domain boundary element method for quasistatic thermoviscoelastic behavior modeling of the functionally graded materials

Abstract

In the present paper, a boundary element formulation is presented for two-dimensional thermoviscoelasticity analysis of components fabricated from the functionally graded materials (FGMs). In this regard, a graded viscoelastic element capable of tracing gradual variations of the material properties is developed. Several attempts have been made so far to employ the integral equation approach for the heterogeneous viscoelastic materials. In the present research, Somigliana's displacement identity is considered and implemented numerically for analyzing the two-dimensional exponentially graded viscoelastic components. Employing the common assumptions of the viscoelastic constitutive equations and the weighted residual technique, an efficient boundary element formulation is developed for the heterogeneous Kelvin-Voigt solid viscoelastic models. Finally, three numerical examples are provided to verify the proposed formulation and present practical conclusions.

Heat Conduction and Cracking of Functionally Graded Materials Using an FDEM-Based Thermo-Mechanical Coupling Model

“…Sutradhar et al [15] used Galerkin the BEM to simulate the FEG heat conduction process, and the simulation results agree with the analytical solution. Ashrafi et al [16] investigated the thermo-elasticity of a three-dimensional FGM hollow cylinder based on the BEM and analyzed the temperature and stress changes inside the material. Yu et al [17] studied the effect of circular holes on the heat conduction of FGM plates through the BEM and compared them with the results of various numerical methods.…”