Numerical analysis of history-dependent variational-hemivariational inequalities with applications in contact mechanics

DOI10.1016/j.cam.2018.08.046zbMath1458.74139OpenAlexW2889603183MaRDI QIDQ1715831

Cheng Wang, Wenbin Chen, Weimin Han, Wei Xu, Zi-Ping Huang

Publication date: 29 January 2019

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

Full work available at URL: https://doi.org/10.1016/j.cam.2018.08.046

zbMATH Keywords

finite element methodClarke subdifferentialtrapezoidal ruleoptimal order error estimate

Mathematics Subject Classification ID

Variational inequalities (49J40) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Energy minimization in dynamical problems in solid mechanics (74H80)

Related Items (14)

Numerical approximation of an electro-elastic frictional contact problem modeled by hemivariational inequality ⋮ Numerical analysis of history-dependent variational-hemivariational inequalities ⋮ Numerical analysis of doubly-history dependent variational inequalities in contact mechanics ⋮ Numerical analysis of a general elliptic variational-hemivariational inequality ⋮ On the well-posedness of variational-hemivariational inequalities and associated fixed point problems ⋮ Virtual element method for a history-dependent variational-hemivariational inequality in contact problems ⋮ Numerical analysis of history-dependent hemivariational inequalities and applications to viscoelastic contact problems with normal penetration ⋮ Numerical analysis of a parabolic hemivariational inequality for semipermeable media ⋮ Mixed finite element method for a hemivariational inequality of stationary Navier-Stokes equations ⋮ Minimization principles for elliptic hemivariational inequalities ⋮ Numerical analysis of an evolutionary variational-hemivariational inequality with application to a dynamic contact problem ⋮ A new class of differential nonlinear system involving parabolic variational and history-dependent hemi-variational inequalities arising in contact mechanics ⋮ Numerical analysis of hemivariational inequalities in contact mechanics ⋮ A Revisit of Elliptic Variational-Hemivariational Inequalities

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