Two problems with mixed boundary conditions for an incompressible isotropic hyperelastic material

DOI10.1016/0021-8928(82)90047-8zbMath0515.73015OpenAlexW2004520203MaRDI QIDQ1052130

V. M. Aleksandrov, S. R. Brudnyĭ

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8928(82)90047-8

zbMATH Keywords

stripplane strainlinearized equationsaction of stampeffect of gravity and forces applied at infinityequilibrium of layer of incompressible isotropic hyperelastic materialequilibrium position can become unstablesmall perturbation of state of stress and strainvertical crack of finite length

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Contact in solid mechanics (74M15) Dynamical problems in solid mechanics (74H99) Brittle damage (74R05) Elastic materials (74B99) Theories of friction (tribology) (74A55)

Cites Work

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• On the theory of plane strain in finitely deformed compressible materials
• Asymptotic solution of a class of integral equations and its application to contact problems for cylindrical elastic bodies

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