摘要
本文以非线性连续体几何场论为基本理论和方法,建立了拖带坐标下弹塑性大变形增量变分方程的更一般表示式.给出了二维、三维连续体接触边界变化率公式,得到了变边界接触大变形增量变分公式和速率型变分不等式,为有限元计算求解带有摩擦弹塑性大变形接触问题提供了理论基础.
Based on the theory and technique of nonlinear geometric field theory of continuum, a more general incremental variational equation for elastic and plastic large deformation in co-moving coordinate is established in this paper. An expression for two-and three-dimensional continua is derived; and the incremental variational equation for large deformation of changing boundary contact and the variational inequality in rate form are obtained, which provides the theoretical basis for the computation of elastic-plastic large deformation contact problem with friction.
出处
《应用数学和力学》
CSCD
北大核心
1989年第12期1049-1058,共10页
Applied Mathematics and Mechanics
