三维接触问题的非光滑算法  

Nonsmooth method for solving three-dimensional frictional contact problems

作　　者：李学文[1] 陈万吉[1] 

机构地区：[1]大连理工大学工程力学所,大连116023

出　　处：《计算力学学报》2000年第1期43-49,共7页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金

摘　　要：给出了一种非光滑算法直接用于求解三维摩擦接触问题的不可微非线性互补模型,不再对模型进行光滑化处理,使算法更加简单。文中对非光滑算法的收敛性给出了严格的数学证明。数值实验表明该算法列式简单,但与光滑化算法同样有效。A nonsmooth algorithm is given to solve the nondiffentiable nonliear complementary model of three dimensional frictional contact problems. The algorithm is easier than the smoothing one becauce the smoothing operation to the model is omitted. The convergence of the algorithm is strictly proved. Numerical experiments suggest that the nonsmooth algorithm is as effecient as the smoothing.

关 键 词：三维摩擦接触 非线性互补 非光滑算法 收敛性 

分 类 号：O343.3[理学—固体力学]