A Quasistatic Unilateral Contact Problem with Friction for Nonlinear Elastic Materials
Journal Title: Mathematical Modelling and Analysis - Year 2007, Vol 12, Issue 4
Abstract
The aim of this paper is to prove the existence of a solution to the quasistatic unilateral contact problem with a modified version of Coulomb's law of dry friction for nonlinear elastic materials. We derive a variational incremental problem which admits a solution if the friction coefficient is sufficiently small and then by passing to the limit with respect to time we obtain the existence of a solution.
Authors and Affiliations
A. Touzaline , D. Teniou
Numerical Simulation of the Conductivity Relaxation in the High Resistivity Semiconductor
A theoretical model describing the relaxation of charge carriers in semiconductors of high resistance under the influence of the laser pulses is presented. It is demonstrated that parameters of the trapping states releva...
A Quasistatic Unilateral Contact Problem with Friction for Nonlinear Elastic Materials
The aim of this paper is to prove the existence of a solution to the quasistatic unilateral contact problem with a modified version of Coulomb's law of dry friction for nonlinear elastic materials. We derive a variationa...
A New Strategy for Choosing the Chebyshev-Gegenbauer Parameters in a Reconstruction Based on Asymptotic Analysis
The Gegenbauer reconstruction method, first proposed by Gottlieb et. al. in 1992, has been considered a useful technique for re-expanding finite series polynomial approximations while simultaneously avoiding Gibbs artifa...
Unsteady Squeezing Flow of a Viscous MHD Fluid Between Parallel Plates, a Solution Using the Homotopy Perturbation Method
The present paper analyses the unsteady 2-dimensional flow of a viscous MHD fluid between two parallel infinite plates. The two infinite plates are considered to be approaching each other symmetrically, causing the squee...
Construction of Chaotic Dynamical System
The first-order difference equation x[i][sub]n[/sub][/i][sub]+1[/sub] = [i]f [/i](x[i][sub]n[/sub][/i]),[i] n[/i] = 0, 1, . . ., where [i]f[/i] : R → R, is referred as an one-dimensional discrete dynamical system. If fun...