QUADRATIC PROGRAMMING WITH PARAMETRIC VECTOR IN THREE-DIMENSIONAL CONTACT PROBLEMS
Author(s):Sun Suming Dalian University of Technology Pages:339-351 Year:1990
Issue:4 Journal:Chinese Journal of Solid Mechanics Keyword:Contact element; Penalty factor; Admissible region; Slip function; Flow potential function; Modularfunction; 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.