二维摩擦接触问题迭代法与非线性互补算法的等价性  

EQUIVALENCE BETWEEN ITERATIVE METHOD AND NONLINEAR COMPLEMENTARY METHOD FOR TWO DIMENSIONAL CONTACT PROBLEM WITH FRICTION

作　　者：陈万吉[1] 李学文[1] 

机构地区：[1]大连理工大学,工业装备结构分析国家重点实验室,辽宁大连116023

出　　处：《工程力学》2001年第6期33-38,共6页Engineering Mechanics

基　　金：国家自然科学基金资助项目(19672015)

摘　　要：本文证明了二维摩擦接触问题一种迭代法与非线性互补算法的等价性,为迭代法的收敛性找到了理论依据,并由此提出了这种迭代法的修正方法,使迭代法也能保证收敛。In this paper the equivalence between the iterative method and the nonlinear complementary method for two-dimensional frictional contact problem is proved and the theoretical foundation of the convergence of iterative method is established. An improved iterative method which satisfies the requirement of the convergence is proposed.

关 键 词：二维摩擦接触 迭代法 收敛性 非线性互补算法 等价性 增量求解 

分 类 号：O343.3[理学—固体力学] O241.6[理学—力学]