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A class of implicit variational inequalities and applications to frictional contact
Author(s) -
Capatina Anca,
Cocou Marius,
Raous Michel
Publication year - 2009
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1112
Subject(s) - quasistatic process , variational inequality , unilateral contact , class (philosophy) , mathematics , elasticity (physics) , numerical analysis , calculus (dental) , mathematical analysis , computer science , physics , engineering , finite element method , structural engineering , artificial intelligence , orthodontics , medicine , quantum mechanics , thermodynamics
This paper deals with the mathematical and numerical analysis of a class of abstract implicit evolution variational inequalities. The results obtained here can be applied to a large variety of quasistatic contact problems in linear elasticity, including unilateral contact or normal compliance conditions with friction. In particular, a quasistatic unilateral contact problem with nonlocal friction is considered. An algorithm is derived and some numerical examples are presented. Copyright © 2009 John Wiley & Sons, Ltd.