D. Givoli et I. Doukhovni, FINITE ELEMENT-QUADRATIC PROGRAMMING APPROACH FOR CONTACT PROBLEMS WITH GEOMETRICAL NONLINEARITY, Computers & structures, 61(1), 1996, pp. 31-41
The finite element-quadratic programming (FE-QP) approach for problems
involving frictionless contact between an elastic body and a rigid ob
stacle is presented in a general setting. The validity of this approac
h is first proved in the context of small deformation problems. Then a
way to extend it to the case of large deformation problems is propose
d, and the validity and implementation of this procedure are discussed
. Numerical examples involving Euler-Bernoulli beams are presented to
demonstrate these issues, and to show the regimes where the method is
successful or failing. Copyright (C) 1996 Elsevier Science Ltd.