A new method,the space-time conservation element and solution element(CE/SE) method for solving one-dimension convection diffusion equation is introduced.

In order to simulate micromechanical damage behavior of heterogeneous materials,the micromechanics model with the consideration of temperature effect near a crack-tip in a composite has been presented by using the method of analytical cells,and the influences of initial defect on mechanical properties of heterogeneous materials were analyzed.