在这份报纸,统计秒顺序二规模(SSOTS ) 方法被开发模仿统计上不同类的材料的动态 thermo 机械的表演。为这种合成材料,包括形状,尺寸,取向,空间地点,和体积部分,粒子的随机的分发特征都被考虑。第一,为统计上不同类的材料的显微镜的配置的表示被描述。第二,为动态 thermo 机械的联合问题的 SSOTS 明确的表达以一个建设性的方法被建议,包括房间问题,有效热、机械的参数,一致问题,和温度,排水量,热流动密度和压力的 SSOTS 公式。然后相应于 SSOTS 方法的算法过程向前被带。使用 SSOTS 算法获得的数字结果与由古典方法的那些相比。另外, thermo 机械的联合效果被解开的大小写把联合大小写的结果与那些作比较学习。它证明温度,热流动密度,排水量,和压力上的联合效果是很不同的。结果证明 SSOTS 方法是有效的预言统计上不同类的材料的动态 thermo 机械的联合表演。
In this paper,a statistical second-order twoscale(SSOTS) method is developed to simulate the dynamic thcrmo-mechanical performances of the statistically inhomogeneous materials.For this kind of composite material,the random distribution characteristics of particles,including the shape,size,orientation,spatial location,and volume fractions,are all considered.Firstly,the repre.sentation for the microscopic configuration of the statistically inhomogeneous materials is described.Secondly,the SSOTS formulation for the dynamic thermo-mechanical coupled problem is proposed in a constructive way,including the cell problems,effective thermal and mechanical parameters,homogenized problems,and the SSOTS formulas of the temperatures,displacements,heat flux densities and stresses.And then the algorithm procedure corresponding to the SSOTS method is brought forward.The numerical results obtained by using the SSOTS algorithm are compared with those by classical methods.In addition,the thermo-mechanical coupling effect is studied by comparing the results of coupled case with those of uncoupled case.It demonstrates that the coupling effect on the temperatures,heat flux densities,displacements,and stresses is very distinct.The results show that the SSOTS method is valid to predict the dynamic thermo-mechanical coupled performances of statistically inhomogeneous materials.