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

基于位形力学的概念，讨论了多晶材料模型中的微观不均匀性。本文构造了一种计算非均匀力的数值算法，它是断裂力学中能量释放率的推广，并应用于多晶团聚体中的界面问题。模拟结果表明，每单位面积的不均匀力，这是由于加载条件和晶体形态，以及，是独立的路径上的面积积分，只要路径不涉及任何奇异部分。

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.