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QUADRATIC PROGRAMMING WITH PARAMETRIC VECTOR IN THREE-DIMENSIONAL CONTACT PROBLEMS
Author(s): 
Pages: 339-351
Year: Issue:  4
Journal: Chinese Journal of Solid Mechanics

Keyword:  Contact elementPenalty factorAdmissible regionSlip functionFlow potential functionModularfunction;
Abstract: The present study is concerned with 3-D contact problems by parametric quadratic programming (PQP). 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, and two onstitutive relations of 3-D contact problems can be obtained, similiar to elasto-plastic problems. The penalty factors can be eliminated by using a definite numerical technique, so that a parametric linear complementary problem is obtined. As an application of the theory presented, some numerical examples are illustrated.
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