Modeling and analysis of a contact problem for a viscoelastic rod

DOI10.1007/s00033-016-0718-zzbMath1400.74017OpenAlexW2526171414WikidataQ59468840 ScholiaQ59468840MaRDI QIDQ518986

Krzysztof Bartosz, Mircea Sofonea

Publication date: 4 April 2017

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-016-0718-z

zbMATH Keywords

weak solutiondifferential inclusioncontactClarke subdifferentialnonconvex potentialviscoelastic rod

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Contact in solid mechanics (74M15) Nonlinear constitutive equations for materials with memory (74D10) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

Convergence of Rothe scheme for a class of dynamic variational inequalities involving Clarke subdifferential

Cites Work

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• Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
• Rothe method for parabolic variational-hemivariational inequalities
• Full discretisations for nonlinear evolutionary inequalities based on stiffly accurate Runge-Kutta and \(hp\)-finite element methods
• A quasistatic contact problem for an elastoplastic rod
• A theory of discretization for nonlinear evolution inequalities applied to parabolic Signorini problems
• Models and analysis of quasistatic contact. Variational methods
• The Rothe Method for Variational-Hemivariational Inequalities with Applications to Contact Mechanics
• Mathematical Models in Contact Mechanics
• Optimization and nonsmooth analysis
• A hyperbolic—parabolic system modelling the thermoelastic impact of two rods
• A parabolic system modeling the thermoelastic contact of two rods
• A review of the theory of static and quasi-static frictional contact problems in elasticity
• Convergence of a Time Discretization for a Nonlinear Second-Order Inclusion
• Numerical Approximation of a Wave Equation with Unilateral Constraints
• Convergence of Rothe scheme for hemivariational inequalities of parabolic type
• Numerical Methods for Evolution Hemivariational Inequalities
• Set-valued analysis
• Nonlinear partial differential equations with applications
• Unilateral dynamic contact of two beams

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