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论文类型：期刊论文

发表时间：1998-03-30

发表刊物：COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

收录刊物：SCIE、Scopus

卷号：155

期号：3-4

页面范围：307-324

ISSN号：0045-7825

摘要：This paper is concerned with the formulation and numerical realization of elastic-plastic frictional contact problems. Comparing with two-dimensional elastic-plastic contact problems, three-dimensional elastic-plastic contact problems with friction are more difficult to deal with, because of the unknown slip direction of the tangential force and exhausting computing time when the double nonlinear problems are considered. In order to avoid these difficulties, a combined PQP (Parametric Quadratic Programming) and iteration method is constructed in this paper. The stiffness matrix of a 3-D contact element is introduced by means of a penalty function expression of the contact pressure and frictional force. The contact condition and the Bow rule are expressed by the same form as in a non-associated plastic how problem, and the penalty factors can be eliminated by using a definite numerical technique. The iteration algorithm, whose functions are to give a precise discretization of space Coulomb's friction law, is used along with the PQP method and alleviates the difficulty of unknown slip direction and cuts down computing costs. Also, the additional complementary conditions are discussed here, so that the non-physical ray solutions caused by original mathematical model can be eliminated. Numerical examples are given to demonstrate the validity of the present method. (C) 1998 Elsevier Science S.A.