A LAGRANGE MULTIPLIER METHOD FOR THE FINITE ELEMENT SOLUTION Of FRICTIONLESS
P. Papadopoulos and J.M. Solberg
Math. Comp. Anal. Model., 28, pp. 373-384, (1998)
This article proposes a novel Lagrange multiplier-based formulation for the
finite element solution of the quasi-static two-body contact problem in the
presence of finite motions and deformations. The main idea rests in the
interpretation of the two-body contact as a composition of two simultaneous
Signorini-like problems, which naturally yield geometrically unbiased
approximations of the kinematics and kinetics of frictionless contact.
A two-dimensional finite element is introduced that exactly satisfies the
impenetrability constraint and allows for the direct computation of consistent
pressure distributions on the interacting surfaces.
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