弹塑性耦合张量的宏细观对偶形式

On Macroscopic and Mesoscopic Conjugate Forms of Elastoplastic Coupling Tensor

依据弹塑性耦合问题的不同类型，应用广义正交原理，在应变空间上推导出已知宏、细观形变规律情况下两种不同形式的弹塑性耦合张量理论表达式及其显形式。该两类弹塑性耦合张量作为宏、细观的对耦形式可应用于体胞模型的损伤力学理论分析与数值计算。

According to different scale material performances data obtainable in analysis of elastoplastic coupling problems, this paper dedicated its rigorous study to deduce the closed theoretical and explicit conjugate expressions of elastoplastic coupling tensor in mesoscopic and macroscopic dimensions. Their theoretical tensor forms, eqs. 9 and 15, were stringently proven through generalized orthogonal principle in strain space, also their corresponding explicit expressions, eqs. 28 and 37, were obtained respectively by generalized Gurson's plastic potential function and dynamic damage evolution laws in meso scale, and by damage phenomenal laws in macro scale. Both kinds of elastoplastic coupling tensor forms, acting as new constitutive relationships of representative material cell in different scales, can be applied to theoretical analysis and numerical computations of damage mechanics.