State-space Approach to 3D Generalized Thermoviscoelasticity Under Green-Nagdhi Theory

New Zealand Journal of Mathematics (Online)

N. Sarkar ; M. Bachher ; A. Lahiri

关键词: Thermo-visco-elasticity;    G-N model;    Energy dissipation;    Normal mode analysis;    State-space formulation.;   

学科分类：社会科学、人文和艺术（综合）

来源: University of Auckland * Department of Mathematics

【 摘 要 】

The present paper is concerned at investigating the effects of viscosity on generalized thermoelastic interactions in a three-dimensional homogeneous isotropic semi-infinite medium whose surface is subjected to a thermal shock and is assumed to be traction free. The formulation is applied to the generalized thermoelasticity based on the G-N II and III theories. The normal mode analysis together with state-space approach is used to obtain the exact analytical expressions for the studied field variables. Numerical computations are done for a specific material and obtained numerical results are plotted in the form of two- and three-dimensional figures. Comparisons are performed with and without the effects of viscosity. A comparison is also made between G-N II and G-N III models to show the effects of viscosity.

【 授权许可】

Unknown