Vl. Rabinovich et Sr. Sipcic, UNILATERAL CONTACT PROBLEM FOR FINITE BODIES - PARALLEL IMPLEMENTATION, Computational mechanics, 13(6), 1994, pp. 414-426
A numerical solution of the three dimensional frictionless contact pro
blem and its data parallel implementation on the Connection Machine Sy
stem CM-2 is presented. The numerical solution is obtained by means of
boundary element discretization of a variational inequality and relat
ed extremum principle; the associated Green's function is approximated
by means of standard direct boundary element procedure. A numerical m
ethod is applicable to any kind of geometry of the contacting bodies u
nder arbitrary loading. The example presented illustrate a distinct ab
ility of the method to capture the influence of the shape and the size
of a body on the contact area and the pressure acting in it. it has b
een demonstrated that the symmetry properties of the Green's operator
hold only asymptotically for the discretized problem.