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The Nonmonotone Skin Effects in Plane Elasticity Problems Obeying to Linear Elastic and Subdifferential Material Laws
Author(s) -
Panagiotopoulos P. D.,
Koltsakis E. K.
Publication year - 1990
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19900700103
Subject(s) - subderivative , monotonic function , elasticity (physics) , compact space , mathematics , nonlinear system , regular polygon , mathematical analysis , linear elasticity , physics , convex optimization , geometry , materials science , composite material , quantum mechanics , thermodynamics , finite element method
In the present paper two‐dimensional nonlinear elasticity problems subjected to nonmonotone skin friction effects are formulated and studied. General material laws derived from convex superpotentials are assumed. The friction forces are derived from nonconvex superpotentials through the generalised gradient of F. H. Clarke. The resulting variational‐hemivariational inequalities are studied and the existence and approximation of their solution is discussed by an appropriate combination of monotonicity with compactness arguments.