摘要
本文将文[1]中提出的三维组集式弹塑性本构模型推广应用于有限变形分析,导出了全量型和增量型本构关系在初始构形上的拉格朗日(Total Lagrange)形式和瞬时构形上的拉格朗日(Updated Lagrange)形式。文中对晶体单轴拉伸中的宏观剪切带进行了分析。预测结果与实验吻合。从而说明这种本构模型能够模拟有限变形中的几何非线性效应和晶体材料塑性变形中的宏观力学行为。
In this paper, the 3-D composite constitutive model proposed in Reference[1] is extended to analyze finite elasto-plastic deformation. Constitutive equations and explicit incremental stiffness tensors for the Updated Lagrangian solution and the Total Lagrangian solution are derived and used to predict the nonuniform and localized deformation of ductile single crystals subjected to tensile loading. The obtained results are in good agreement with the experimental data[2] and predictions of previous crystal theory[2-4]. It is verified that the 3-D composite constitutive model can well simulate macro-machanical behaviour in finite deformation.
出处
《力学学报》
EI
CSCD
北大核心
1992年第2期162-170,共9页
Chinese Journal of Theoretical and Applied Mechanics
关键词
有限变形
弹塑性
本构关系
finite deformation, elasto-plastic constitutive relation, 3-D composite model, nonuniform and localized deformation
