An exact solution to the Lame problem for a hollow sphere for new types of nonlinear elastic materials in the case of large deformations

DOI10.1016/j.euromechsol.2021.104345zbMath1472.74023OpenAlexW3167968052WikidataQ110510727 ScholiaQ110510727MaRDI QIDQ1982330

Y. Y. Podladchikov, Konstantin M. Zingerman, Vladimir A. Levin

Publication date: 8 September 2021

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2021.104345

zbMATH Keywords

finite strainnon-uniquenessstrong ellipticity conditionradially symmetric deformationMurnaghan equation of state

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Explicit solutions of equilibrium problems in solid mechanics (74G05) Multiplicity of solutions of equilibrium problems in solid mechanics (74G35)

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Cites Work

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• Redistribution of finite elastic strains after the formation of inclusions. Approximate analytical solution
• On copositive matrices and strong ellipticity for isotropic elastic materials
• Finite strain solutions in compressible isotropic elasticity
• An effective method of verifying Hadamard's condition for a nonlinearly elastic compressible medium
• A reformulation of the strong ellipticity conditions for unconstrained hyperelastic media
• The Compressibility of Media under Extreme Pressures

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