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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 68
Edited by: B.H.V. Topping
Paper X.4

Parallel Proximal-Point Algorithms for the Elastoplastic Two-Body Contact Problem

G. Alduncin+ and J. Sanchez-Macias#

+Mexican Institute of Petroleum and Institute of Geophysics, U.N.A.M., Mexico City, Mexico
#Autonomous University of Queretaro and Technological Institute of Queretaro, Queretaro, Mexico

Full Bibliographic Reference for this paper
G. Alduncin, J. Sanchez-Macias, "Parallel Proximal-Point Algorithms for the Elastoplastic Two-Body Contact Problem", in B.H.V. Topping, (Editor), "Developments in Engineering Computational Technology", Civil-Comp Press, Edinburgh, UK, pp 295-302, 2000. doi:10.4203/ccp.68.10.4
Variational parallel proximal-point algorithms are presented for the elastic perfectly plastic two-body frictional contact problem. Combining nonverlappirlg domain decomposition and operator splitting methods, macro-hyhrid mixed variational formulations of the problem are produced, with constitutive, contact and interface transmission constraints dualized. In this manner, general finite element spatial discretizations are naturally introduced with non-matching grids, and for fully discrete incremental processes, robust and well conditioned numerical algorithms of duality and exact penalization type are systematically deduced, as proximal-point approximations. ions.

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