一种弹塑性大变形各向异性损伤运动学基本方程

Basic kinematic equations of large elastoplastic deformation with anisotropic damage

对弹塑性大变形,由于外界载荷的作用和材料自身性能的影响,损伤常常表现为各向异性。通过有效应力的概念,损伤对变形的影响可用一个四阶损伤影响张量来表示。对于弹塑性损伤变形,可以通过不同的极分解途径,而得到各种定义的变形梯度张量和相应的应变张量。分析结果表明:变形与材料的损伤有着较为密切的关系。

For large elastoplastic deformation behavior with damage, the damage is generally anisotropic due to the external loading condition or the material nature itself. The fourth-order damage effect tensor is introduced to characterize the influence of damage on deformation. Deformation gradient and relevant strain tensors are obtained by different pole decomposing methods. The deformation is associated with the damage.