Weak solvability of antiplane frictional contact problems for elastic cylinders

DOI10.1016/j.nonrwa.2008.10.045zbMath1241.74029OpenAlexW1987260366MaRDI QIDQ1049427

Anna Ochal, Mircea Sofonea, Stanislaw Migórski

Publication date: 12 January 2010

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

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.10.045

zbMATH Keywords

existenceuniquenesshemivariational inequalityClarke subdifferential

Mathematics Subject Classification ID

Variational inequalities (49J40) Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

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Cites Work

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• Variational methods for non-differentiable functionals and their applications to partial differential equations
• On the convergence of solutions of multivalued parabolic equations and applications
• Slip-weakening friction on a periodic system of faults: Spectral analysis
• Variational inequalities with applications. A study of antiplane frictional contact problems
• Saint-Venant's Principle for Antiplane Shear Deformations of Linear Piezoelectric Materials
• Optimization and nonsmooth analysis
• Antiplane Shear Deformations for Homogeneous and Inhomogeneous Anisotropic Linearly Elastic Solids
• Interaction of faults under slip‐dependent friction. Non‐linear eigenvalue analysis
• ENTROPY SOLUTIONS IN THE STUDY OF ANTIPLANE SHEAR DEFORMATIONS FOR ELASTIC SOLIDS
• Quasistatic viscoelastic contact with friction and wear diffusion
• Anti-Plane Shear Deformations in Linear and Nonlinear Solid Mechanics

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