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
Keywords
Related Articles
- EP ID EP84226
- DOI 10.3846/1392-6292.2007.12.497-51
- Views 84
- Downloads 0
Approximate Solution of Nonlinear Multi-Point Boundary Value Problem on the Half-Line
In this work, we construct a novel weighted reproducing kernel space and give the expression of reproducing kernel function skillfully. Based on the orthogonal basis established in the reproducing kernel space, an effici...
Finite Difference Scheme for a Singularly Perturbed Parabolic Equations in the Presence of Initial and Boundary Layers
The grid approximation of an initial-boundary value problem is considered for a singularly perturbed parabolic reaction-diffusion equation. The second-order spatial derivative and the temporal derivative in the different...
On Solutions of Neumann Boundary Value Problem for the Liénard Type Equation
We provide conditions on the functions [i]f(x) [/i]and [i]g(x)[/i], which ensure the existence of solutions to the Neumann boundary value problem for the equation [i]x''+f(x)[sup][/sup]x[sup]'2[/sup]+g(x)=0.[/i]
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...
Impact of Factor Rotation Methods on Simulation Composite Indicators
In this research one hypothesis about mathematical measure, which can be used as an additional tool for analysis and assessment Lithuania's economy tendencies, is verified. This additional measure has been constructed as...