Three-Dimensional Unilateral Frictionless Contact Problem for Finite Bodies

[+] Author and Article Information
V. L. Rabinovich, V. K. Sarin

Department of Manufacturing Engineering, Boston University, Boston, MA 02215

S. R. Sipcic

Department of Aerospace and Mechanical Engineering, Boston University, Boston, MA 02215

J. Appl. Mech 61(1), 54-59 (Mar 01, 1994) (6 pages) doi:10.1115/1.2901420 History: Received June 09, 1992; Revised March 11, 1993; Online March 31, 2008


The numerical solution of the three-dimensional frictionless contact problem is obtained by means of a boundary element discretization of a variational inequality and its related extremum principle. The discretization leads to a finite dimensional quadratic programming problem, solved by a modification of the gradient projection method. The associated Green’s function is approximated using a standard direct boundary element procedure. The numerical method is applicable to any type of contacting bodies geometry under arbitrary loading. The examples considered were chosen such as to illustrate a distinct ability of the method to capture the influence of a body shape on the contact area and pressure acting in it. It has been demonstrated that the symmetry properties of the Green’s operator hold only asymptotically for the discretized problem.

Copyright © 1994 by The American Society of Mechanical Engineers
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