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中文核心期刊

有限弹塑性变形的三维组集式本构模型

A 3-D COMPOSITE CONSTITUTIVE MODEL FOR ANALYSIS OF FINITE ELASTO-PLASTIC DEFORMATION

  • 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。

     

    Abstract: In this paper, the 3-D composite constitutive model proposed in Reference1 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 data2 and predictions of previous crystal th...

     

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