Analysis of a quasistatic displacement-traction problem for viscoelastic materials

DOI10.1016/S0895-7177(00)00144-8zbMath0961.74011OpenAlexW1981931014MaRDI QIDQ1585819

Mircea Sofonea, Lynda Selmani, Oanh Chau

Publication date: 14 November 2000

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(00)00144-8

zbMATH Keywords

existenceinitial-boundary value problemuniquenesscontinuous dependencequasistatic processbody forcesmonotone operator theorysurface tractionsCauchy-Lipschitz theoremelasticity operatornonlinear viscoelastic constitutive lawviscosity operator

Mathematics Subject Classification ID

Nonlinear constitutive equations for materials with memory (74D10) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)

Cites Work

• Quasistatic viscoelastic contact with normal compliance and friction
• A quasistatic contact problem with directional friction and damped response
• Evolutionary Variational Inequalities Arising in Viscoelastic Contact Problems
• SET-VALUED PSEUDOMONOTONE MAPS AND DEGENERATE EVOLUTION INCLUSIONS
• Dynamic friction contact problems for general normal and friction laws
• Time-dependent variational inequalities for viscoelastic contact problems
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