实际工程问题中常会涉及非均质材料时间相关的力学、传热分析。这类问题的数值模拟具有重要的工程应用背景与理论探讨价值。一种直接的方式是分别考虑非均质材料组分的物理/几何特性,将问题在空间/时域离散后进行计算,这往往会导致计算量过大,甚至不可行。一个变通的策略是将非均质材料考虑成一种宏观均质材料,进行等效求解,从而大幅降低计算量。分别以粘弹性节理岩体及非均质线性瞬态热传导问题为研究对象,探讨了非均质材料时间相关的等效数值求解方法。
The time dependent solution of mechanical and heat conduction for heterogeneous material often ap- peared 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 materi al, 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 homoge- nous material and equivalent analysis, the computational cost will reduce sharply. This paper presented a nu- merical method for time dependent equivalent analysis of heterogeneous material by concerning the viscoelastic jointed rock and linear transient heat conduction problem of heterogeneous material.