On Macroscopic and Mesoscopic Conjugate Forms of Elastoplastic Coupling Tensor

Sun Qin (Aircraft Engineering Department, Northwestern Polytechnical Un iversity)
Xu Xiaofei (650 Aircraft Design Institute, Nan Chang Aircraft Industrial Company)

Abstract: 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.
Keywords: elastoplastic coupling tensor, theor etical and explicit conjugate expressions, macroscopic and mesoscopic dimensions .