Numerical analysis of a dynamic viscoplastic contact problem

DOI10.1080/00207160.2021.1955107zbMath1499.65535OpenAlexW3180833013MaRDI QIDQ5079434

Xiao-liang Cheng, Xilu Wang

Publication date: 27 May 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2021.1955107

zbMATH Keywords

hemivariational inequalityviscoplasticitynumerical approximationoptimal-order error estimatedynamic contact

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Other nonlinear integral equations (45G10) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for variational inequalities and related problems (65K15)

Related Items (1)

Continuous dependence and optimal control of a dynamic elastic-viscoplastic contact problem with non-monotone boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A quasistatic viscoplastic contact problem with normal compliance, unilateral constraint, memory term and friction
• An evolution problem in nonsmooth elasto-viscoplasticity
• Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
• Rothe method for parabolic variational-hemivariational inequalities
• Analysis of two quasistatic history-dependent contact models
• Nonconvex energy functions. Hemivariational inequalities and substationarity principles
• On a dynamic contact problem for elastic-viscoplastic materials
• Variational-hemivariational approach to quasistatic viscoplastic contact problem with normal compliance, unilateral constraint, memory term, friction and damage
• Numerical analysis of a viscoplastic contact problem with normal compliance, unilateral constraint, memory term and friction
• Numerical analysis of an evolutionary variational-hemivariational inequality with application in contact mechanics
• A dynamic contact problem for elastic–viscoplastic materials with normal damped response and damage
• Optimization and nonsmooth analysis
• Numerical analysis of history-dependent variational–hemivariational inequalities with applications to contact problems
• 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
• Analysis and Approximation of Contact Problems with Adhesion or Damage

This page was built for publication: Numerical analysis of a dynamic viscoplastic contact problem