Numerical Analysis of a Dynamic Contact Problem with History-Dependent Operators

DOI10.4208/nmtma.OA-2019-0130zbMath1463.65314OpenAlexW3012200268MaRDI QIDQ5143954

Weimin Han, Qichang Xiao, Hailing Xuan, Xiao-liang Cheng

Publication date: 14 January 2021

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.oa-2019-0130

zbMATH Keywords

finite element methodnumerical approximationvariational-hemivariational inequalityoptimal order error estimatehistory-dependent operators

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Nonlinear constitutive equations for materials with memory (74D10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs in connection with mechanics of deformable solids (35Q74) Numerical methods for variational inequalities and related problems (65K15) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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A survey of numerical methods for hemivariational inequalities with applications to contact mechanics ⋮ Numerical analysis and simulations of a frictional contact problem with damage and memory ⋮ Optimal Control of a Quasistatic Frictional Contact Problem with History-Dependent Operators ⋮ A fully-discrete finite element scheme and projection-iteration algorithm for a dynamic contact problem with multi-contact zones and unilateral constraint ⋮ Analysis of a System of Hemivariational Inequalities Arising in Non-Stationary Stokes Equation with Thermal Effects ⋮ Dynamic contact problem with moderate displacement and time‐dependent normal ⋮ Numerical analysis of a thermal frictional contact problem with long memory ⋮ Numerical analysis and simulation of an adhesive contact problem with damage and long memory

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