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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 68
DEVELOPMENTS IN ENGINEERING COMPUTATIONAL TECHNOLOGY 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
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
Abstract
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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