Finite strain solutions in compressible isotropic elasticity

DOI10.1007/BF00042141zbMath0654.73030OpenAlexW2003369863MaRDI QIDQ1108846

M. M. Carroll

Publication date: 1988

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00042141

zbMATH Keywords

strain energynonlinear ordinary differential equationharmonic materialsgoverning equationsdeformation fieldsfunction of the three principal invariants of the stretch tensorsgeneral compressible isotropic elastic responsenonlinear in the third argument

Mathematics Subject Classification ID

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Cites Work

• The finite deformation of a pressurized circular tube for a class of compressible materials
• The pressurized hollow sphere problem in finite elastostatics for a class of compressible materials
• A note on isotropic elastic response
• Plane elastic standing waves of finite amplitude
• Deformations possible in every isotropic, incompressible, perfectly elastic body
• Plane strain problems for a perfectly elastic material of harmonic type
• SOLUTION OF SOME FINITE PLANE-STRAIN PROBLEMS FOR COMPRESSIBLE ELASTIC SOLIDS
• Large elastic deformations of isotropic materials IV. further developments of the general theory
• Large elastic deformations of isotropic materials VI. Further results in the theory of torsion, shear and flexure
• Large elastic deformations of isotropic materials. V. The problem of flexure
• Finite elastic deformation of incompressible isotropic bodies

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