Open Access

ABSTRACT

Partitioned Formulation for Solving 3D Frictional Contact Problems with BEM using Localized Lagrange Multipliers

L. Rodríguez-Tembleque¹, J.A. González¹, R. Abascal¹, K.C. Park², C.A. Felippa²

1 Grupo de Estructuras, Escuela Superior de Ingenieros, Avda. de los descubrimientos s/n, 41092 Sevilla, Spain.
2 Department of Aerospace Engineering of Sciences, Center for Aerospace Structures, University of Colorado, Boulder, CO 80309-0429, U.S.A.

The International Conference on Computational & Experimental Engineering and Sciences 2007, 2(1), 21-28. https://doi.org/10.3970/icces.2007.002.021

Abstract

This work presents an interface treatment method based on localized Lagrange Multipliers (LLM) to solve frictional contact problems between two 3D elastic bodies. The connection between the solids is done using a displacement frame intercalated between the interfaces meshes, and the LLM are collocated at the interface nodes. The Boundary Elements Method (BEM) is used to compute the influence coefficients of the surface points involved, and contact conditions are imposed using projection functions. The LLM provides a partitioned formulation which preserves software modularity, facilitates non-matching meshes treatment and passes the contact patch test [4].

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