Signorini’s problem with friction in linear elasticity

DOI10.1007/BF03167776zbMath0627.73098MaRDI QIDQ3763719

Yoshio Kato

Publication date: 1987

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

zbMATH Keywords

frictional contactSignorini's problemcontinuity of the solutions

Mathematics Subject Classification ID

Variational inequalities (49J40) Contact in solid mechanics (74M15) Variational methods for elliptic systems (35J50) Qualitative properties of solutions to partial differential equations (35B99) Theories of friction (tribology) (74A55)

Related Items (7)

New extremal domains for the first eigenvalue of the Laplacian in flat tori ⋮ Normal compliance contact models with finite interpenetration ⋮ Unnamed Item ⋮ A unified approach to discrete frictional contact problems ⋮ The interface crack with Coulomb friction between two bonded dissimilar elastic media. ⋮ Noncoercive variational inequalities with application to friction problems ⋮ A class of sufficiently small friction coefficients for the uniqueness of the solution of the quasistatic contact problem.

Cites Work

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• Estimates for the solution and its stability in Signorini's problem
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Hölder continuity of solutions of elliptic systems
• Local boundary conditions for dissipative symmetric linear differential operators
• Contact problems with bounded friction. Semicoercive case

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