Survey of equivalent mechanical and thermal analysis of heterogeneous material

The time-dependent solution of mechanical and heat conduction for heterogeneous material often appeared in various fields of engineering.These problems are thus of great importance for engineering and theory.A direct way is to consider the geometrical and mechanical property of component in the heterogeneous material,respectively,and then discretize the problem in space/time domain,but this caused a huge computational cost or would be impossible.Another way is to consider the heterogeneous material as macroscopical homogenous material and equivalent analysis,the computational cost will reduce sharply.This paper presented a numerical method for time-dependent equivalent analysis of heterogeneous material by concerning the viscoelastic jointed rock and linear transient heat conduction problem of heterogeneous material.