铅的压缩有限变形本构关系研究

有限变形理论应用于金属塑性成形过程模拟的基础之一是确定材料的本构模型.该文以铅作为试验材料,测定单向压缩有限变形和双向受约束两种情形下的载荷位移曲线,建立了基于欧拉描述的铅有限变形本构方程.由有限变形理论推导出单向压缩和平面应变有限元模型.数值算例给出了载荷位移变化规律.结果表明,欧拉描述有限变形本构方程适合于铅的有限变形压缩规律的描述.

Compressive Finite Defomation Constitutive Equations of Lead

The keypoint to simulate the metal forming process by using finite deformation theory is to define the constitutive equations of the material. By using lead as the testing material, the compressive load-displacement curves under unidirectional and bidirectional compressive conditions are gained respectively. The corresponding constitutive equations based on finite deformation theory are presented. The finite element modals are deduced in the case of the above two compressive conditions. By using the models, the load-displacement variable laws under the finite deformation condition are calculated and compared with the experimental data. The results show that the finite deformation constitutive equations based on Eulerian configuration are suitable for the compressive finite deformation process of lead.