On the existence of solutions to quasistatic frictional rational contact problems with limited interpenetration

DOI10.1016/j.nonrwa.2021.103468zbMath1492.74119OpenAlexW4200244997MaRDI QIDQ2113876

Jiří Jarušek

Publication date: 14 March 2022

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2021.103468

zbMATH Keywords

Coulomb frictionexistence of solutionslimited interpenetrationquasistatic contact problemrelation to the Signorini contact

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

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• Static semicoercive normal compliance contact problem with limited interpenetration
• Normal compliance contact models with finite interpenetration
• Solvability of a dynamic rational contact with limited interpenetration for viscoelastic plates.
• Solvability of a rational contact model with limited interpenetration in viscoelastodynamics
• Existence results for quasistatic contact problems with Coulomb friction

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