Numerical studies of a hemivariational inequality for a viscoelastic contact problem with damage

DOI10.1016/j.cam.2020.112886zbMath1437.65189arXiv1912.08022OpenAlexW3013605577MaRDI QIDQ2175833

Weimin Han, Anna Ochal, Michal Jureczka

Publication date: 30 April 2020

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.08022

zbMATH Keywords

convergencedamagefully discrete schemequasistatic contactoptimal order error estimatehemivariational inequality (HVI)

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Numerical optimization and variational techniques (65K10) Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Brittle damage (74R05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

A new elliptic mixed boundary value problem with (p,q)-Laplacian and Clarke subdifferential: Existence, comparison and convergence results ⋮ Analysis and approximation of hemivariational inequality for a frictional thermo-electro-visco-elastic contact problem with damage ⋮ Numerical analysis of a viscoplastic contact problem with normal compliance, unilateral constraint, memory term and friction ⋮ A new class of differential nonlinear system involving parabolic variational and history-dependent hemi-variational inequalities arising in contact mechanics

Uses Software

• SciPy
• Python

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
• Variational-hemivariational approach to a quasistatic viscoelastic problem with normal compliance, friction and material damage
• Solution of variational inequalities in mechanics
• Damage, gradient of damage and principle of virtual power
• Numerical analysis of stationary variational-hemivariational inequalities
• Finite element method for hemivariational inequalities. Theory, methods and applications
• Theoretical Numerical Analysis
• Optimization and nonsmooth analysis
• Generalized Gradients and Applications
• Numerical analysis of stationary variational-hemivariational inequalities with applications in contact mechanics
• A Class of Variational-Hemivariational Inequalities with Applications to Frictional Contact Problems
• Numerical analysis of hemivariational inequalities in contact mechanics
• Numerical Analysis of a Hyperbolic Hemivariational Inequality Arising in Dynamic Contact
• Numerical Analysis of Elliptic Hemivariational Inequalities
• The Mathematical Theory of Finite Element Methods
• Analysis and Approximation of Contact Problems with Adhesion or Damage
• Variational and numerical analysis of a quasistatic viscoelastic problem with normal compliance, friction and damage

This page was built for publication: Numerical studies of a hemivariational inequality for a viscoelastic contact problem with damage