On static similarity deformations for isotropic materials

DOI10.1090/QAM/678199zbMath0507.73032OpenAlexW2563836834MaRDI QIDQ4745359

James M. Hill

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1090/qam/678199

zbMATH Keywords

isotropic materialsstatic deformationssimilarity deformationprinciple of material indifferenceappropriate selection of coordinatesarbitrary orthogonal rotationsboth coordinate systemsgoverning equations remain invariantinvariant under same change of length scalespatial coordinate systemsthree arbitrary constants

Mathematics Subject Classification ID

Nonlinear elasticity (74B20)

Related Items (4)

Deformations of Neo-Hookean Elastic Wedge Revisited ⋮ A Note on Ericksen's Problem for Radially Symmetric Deformations ⋮ Invariance of the equilibrium equations of finite elasticity for compressible materials ⋮ Group invariance of a neo-Hookean system: Incorporation of stretch change

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