Frictionless contact problems for elastic hemitropic solids: boundary variational inequality approach

DOI10.4171/RLM/628zbMath1387.35304OpenAlexW2045404240MaRDI QIDQ713967

David Natroshvili, Avtandil Gachechiladze, Roland Gachechiladze

Publication date: 19 October 2012

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rlm/628

zbMATH Keywords

frictionless contacthemitropic solidsboundary variational inequalityCosserat solids

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Polar materials (74A35) Equations and inequalities involving linear operators, with vector unknowns (47A50) PDEs in connection with mechanics of deformable solids (35Q74) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

Related Items (3)

One-sided contact problems with friction arising along the normal ⋮ Unilateral contact problems with a friction ⋮ Boundary contact problems with regard to friction of couple-stress viscoelasticity for inhomogeneous anisotropic bodies (quasi-static cases)

Cites Work

• General existence theorems for unilateral problems in continuum mechanics
• Noncentrosymmetry in micropolar elasticity
• Micropolar theory of elasticity. Translated from the Japanese original by Tao Zhang
• Steady state oscillation problems in the theory of elasticity for chiral materials
• Size-dependent elastic fields of embedded inclusions in isotropic chiral solids
• Micro-structure in linear elasticity
• Transmission problems in the theory of elastic hemitropic materials
• Microcontinuum Field Theories
• Mathematical problems of the theory of elasticity of chiral materials for Lipschitz domains
• Elastic and viscoelastic behavior of chiral materials
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