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A note on the stability of certain deformations of compressible nonlinearly elastic media

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Publication:1266906
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DOI10.1007/S000000050108zbMATH Open0929.74012OpenAlexW2055984169MaRDI QIDQ1266906

M. Aron

Publication date: 27 January 2000

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000000050108



zbMATH Keywords

stability conditionsstrain energy functionstable equilibriumharmonic materialsprincipal invariants of left Cauchy-Green strain tensor


Mathematics Subject Classification ID

Nonlinear elasticity (74B20)



Related Items (3)

Energy-based stability estimates for incompressible media with tensor-nonlinear constitutive relations ⋮ Stability of radially symmetric deformations of spheres of compressible nonlinearly elastic materials ⋮ An effective method of verifying Hadamard's condition for a nonlinearly elastic compressible medium






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