CORRELATION ANLYSIS OF RANDOMNESS, DEFORMATION AND DAMAGE BY WAY OF MICROSCOPIC INHOMOGENEITY FORCES IN POLYCRYSTALLINE AGGREGATE MODEL

基于构型力学概念，讨论了多晶材料模型的微观不均匀性。构建了一种评估不均匀力的数值算法，该算法是断裂力学中能量释放率的推广，并将其应用于多晶骨料的界面问题。模拟表明，由加载条件和晶体形态引起的每单位面积的不均匀力与面积积分的路径无关，只要该路径不涉及任何奇点部分。

Based on the configurational mechanics concept, microscopic inhomogeneity is discussed on polycrystalline material models. A numerical algorithm for evaluating the inhomogeneity force, which is none other than a generalization of the energy release rate in fracture mechanics, is constructed and applied to the interfacial problems in polycrystalline aggregates. The simulation suggests that the inhomogeneity force per unit area, which results from the loading condition and crystal morphology as well, is independent on the path of area integration so far as the path does not involve any singularity portion.