A NONCLASSICAL CONSTITUTIVE MODEL FOR CRYSTAL PLASTICITY AND ITS APPLICATION

Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (10): 971-982.

A NONCLASSICAL CONSTITUTIVE MODEL FOR CRYSTAL PLASTICITY AND ITS APPLICATION

彭向和, 曾祥国, 范镜泓

Department of Engineering Mechanics, Chongqing University, Chongqing 400044, P. R. China

收稿日期:1997-05-05 修回日期:1998-06-24 出版日期:1998-10-18 发布日期:1998-10-18
基金资助:
Project supported by the Foundation of Education Ministry of China

A NONCLASSICAL CONSTITUTIVE MODEL FOR CRYSTAL PLASTICITY AND ITS APPLICATION

Peng Xianghe, Zeng Xiangguo, Fan Jianghong

Department of Engineering Mechanics, Chongqing University, Chongqing 400044, P. R. China

Received:1997-05-05 Revised:1998-06-24 Online:1998-10-18 Published:1998-10-18
Supported by:
Project supported by the Foundation of Education Ministry of China

摘要/Abstract

摘要： 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 KVW’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 isosahedron and the arithmetic mean for the spatially uniformly distributed twenty sets of 0 and φ determined by the normal of each face of the isosahedron. 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.

关键词: crystal plasticity, constitutive relation, aggregation model, nonproportional cyclic plasticity

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 KVW’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 isosahedron and the arithmetic mean for the spatially uniformly distributed twenty sets of 0 and φ determined by the normal of each face of the isosahedron. 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.

Key words: crystal plasticity, constitutive relation, aggregation model, nonproportional cyclic plasticity

彭向和;曾祥国;范镜泓. A NONCLASSICAL CONSTITUTIVE MODEL FOR CRYSTAL PLASTICITY AND ITS APPLICATION[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(10): 971-982.

Peng Xianghe;Zeng Xiangguo;Fan Jianghong. A NONCLASSICAL CONSTITUTIVE MODEL FOR CRYSTAL PLASTICITY AND ITS APPLICATION[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(10): 971-982.

参考文献

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A NONCLASSICAL CONSTITUTIVE MODEL FOR CRYSTAL PLASTICITY AND ITS APPLICATION

A NONCLASSICAL CONSTITUTIVE MODEL FOR CRYSTAL PLASTICITY AND ITS APPLICATION

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