Abstract
A nonclassical constitutive description for a slip system is formulated by using a simple mechanical model consisting of a spring and a plastic dashpot-like block. The corresponding constitutive model for a single crystal and the analysis for polycrystalline response is proposed based on the KBW's self-consistent theory. The constitutive model contains no yield criterion, so the corresponding numerical analysis is greatly simplified because it involves no additional process to search for the activation of slip systems and slip direction. A mixed averaging approach is proposed to obtain the response of polycrystalline material, which consists of the Gaussian integral mean for the ω which varies continuously within each face of the isohedron and the arithmetic mean for the spatially uniformaly distributed twenty sets of 0 and ϕ determined by the normal of each face of the isosohedron. The main features 316 stainless steel subjected to typical biaxial nonproportional cyclic strain paths are well described. Calculation also shows that the developed model and the corresponding analytical approach are of good accuracy and efficiency.
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Communicated by Zhang Ruqing
Project supported by the Foundation of Education Ministry of China
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Xianghe, P., Xiangguo, Z. & Jianghong, F. A nonclassical constitutive model for crystal plasticity and its application. Appl Math Mech 19, 971–982 (1998). https://doi.org/10.1007/BF02457957
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DOI: https://doi.org/10.1007/BF02457957