A two-dimensional generalized thermoelastic diffusion problem for a half-space

作者：He, Tianhu^*; Li, Chenlin; Shi, Shuanhu; Ma, Yongbin

来源：European Journal of Mechanics - A: Solids , 2015, 52: 37-43.

DOI：10.1016/j.euromechsol.2015.01.002

• Generalized thermoelastic diffusion theory
• Laplace transform
• Finite element method

The dynamic response of a two-dimensional generalized thermoelastic diffusion problem for a half-space is investigated in the context of the generalized thermoelastic diffusion theory. The half-space is subjected to a thermal shock and a chemical potential shock on its bounding surface. The governing equations of this problem are formulated, and due to the complexity of the equations, a numerical method, i.e., hybrid Laplace transform-finite element method, is used to solve them. The non-dimensional temperature, displacement and chemical potential are obtained and illustrated graphically. The results show that the non-zero values of all the considered variables are only in a bounded region and vanish identically beyond this region, and the propagating speed of diffusive wave is larger than that of thermoelastic wave.

• 出版日期2015-8
• 单位兰州理工大学