金属有限变形问题中应力应变的选择  

The Choice of Stress and Strain Occuring in Metal Finite Deformation

作　　者：徐春晖[1] 黄文彬[1] 王红卫[1] 杨青春[2] 

机构地区：[1]中国农业大学工程基础科学部 [2]北京机电研究所

出　　处：《中国农业大学学报》2000年第4期30-34,共5页Journal of China Agricultural University

基　　金：国家自然科学基金资助项目

摘　　要：在假设弹性系数为常数的前提下 ,采用有限变形弹塑性有限元法 ,研究了单向压缩时如何用简单的幂次本构关系来逼近载荷 -位移实验曲线。将这一本构关系推广到多维弹塑性大变形 ,用于解决金属成型问题时 ,受变形大小的限制 ;改用具有能量共轭关系的旋转克希霍夫应力和对数应变进行计算 ,则不受变形大小的限制 。Assuming that the elastic coefficient is a constant, using the elastoplastic finite element algorithms, and simple power hardening constitutive relation, the load displacement curve is obtained for one dimensional. The constitutive relation for two dimensional elastoplastic finite deformation can be extended and can be used to solve the protem when the metal forging processes with the restriction of the degree of deformation. The rotated Kirchholff's stress and logarithmic strain can be used to overcome this defect, and the good results can be obtained.

关 键 词：有限变形 弹塑性有限元法 金属成形 应力应变 

分 类 号：O344.3[理学—固体力学] TG301[理学—力学]