Variational and Numerical Analysis of Some Problems at the Contact Limits
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Date
2025-06-15
Journal Title
Journal ISSN
Volume Title
Publisher
Mohamed Boudiaf University of M'sila
Abstract
The variational and numerical study of some contact problems with or without
friction, between a deformable body and a foundation. Here we consider
nonlinear laws of behavior for viscoplastic materials. For these problems we
obtain variational formulations followed by existence and uniqueness results of
weak solutions. The techniques employed are based on the theory of monotone
operators followed by a version of the Cauchy-Lipschitz theorem and Banachís
fixed point arguments. Finally, we propose a numerical approximation of the
purely mechanical problem using discrete schemes. For these schemes, we
obtain error estimation results
Description
Keywords
Viscoelasticity, damage, normal compliance, fixed point, Approximation, Finite Difference, Finite elements