摘要
针对计及几何、材料、接触摩擦耦合作用的高度非线性过程问题，非增量张量时－空算法具有在整个时间和空间域上迭代求解的高效率优点。由于分离变量采用张量时间函数，以张量时间函数和空间函数的乘积形式表达求解变量的迭代修正值，对问题的列式和求解方法具有更高要求。作为张量时空算法的关键内容，文中讨论了局部步结束时，即逐点在整个时间域上进行材料本构和边界接触摩擦的局部修正后。
The nonincremental tensorial timespace algorithm has a high efficiency for solving the highly and coupled nonlinear problems with inclusion of geometrical,material and contactfriction nonlinearites.It features an iterative solution procedure on entire time and space domain.The tensorial time function is used in the variable separation to represent the corrective values by multiplications of time and space functions.So a higher requirement for formulation of the problem and numerical resolution methods is applied.The predetermination method of tensorial time function and its application conditions are presented in this paper as a key problem of the tensorial timespace algorithm.It should be performed after the local step in algorithm,which corrects locally ,that is,point by point the material constitutive and boundary contactfriction relation in entire time field.
出处
《塑性工程学报》
CAS
CSCD
1999年第2期17-25,共9页
Journal of Plasticity Engineering
基金
国家自然科学基金
关键词
成形过程
数值模拟
非增量算法
张量时间函数
forming process,numerical simulation,nonincremental alorithm,tensorial time function
