Numerical analysis and simulation of an adhesive contact problem with damage and long memory

DOI10.3934/dcdsb.2020205zbMath1476.65197OpenAlexW3035641803MaRDI QIDQ2033600

Hailing Xuan, Xiao-liang Cheng

Publication date: 17 June 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020205

zbMATH Keywords

hemivariational inequalitydamagenumerical approximationadhesionoptimal order error estimatehistory-dependent operators

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) 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) Nonlinear constitutive equations for materials with memory (74D10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) PDEs in connection with mechanics of deformable solids (35Q74) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

Analysis and simulation of an adhesive contact problem governed by fractional differential hemivariational inequalities with history-dependent operator ⋮ A generalized penalty method for a new class of differential inequality system ⋮ Analysis of a System of Hemivariational Inequalities Arising in Non-Stationary Stokes Equation with Thermal Effects ⋮ A new class of differential nonlinear system involving parabolic variational and history-dependent hemi-variational inequalities arising in contact mechanics

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