Symmetry groups for arbitrary motions of hyperelastic solids

DOI10.1016/S0020-7225(96)00103-6zbMath0904.73002MaRDI QIDQ1388279

A. Bakkaloǧlu, Erdoğan S. Şuhubi

Publication date: 26 January 1999

Published in: International Journal of Engineering Science (Search for Journal in Brave)

zbMATH Keywords

strain energy functionsimilarity solutionsbalance equationsGreen deformation tensordeformation gradient matrixinfinitesimal generators of symmetry groupshomogeneous isotropic materialisovector components

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Crystalline structure (74E15)

Related Items (3)

Bogus transformations in mechanics of continua ⋮ Symmetry properties of two-dimensional Ciarlet-Mooney-Rivlin constitutive models in nonlinear elastodynamics ⋮ Nonlocally related PDE systems for one-dimensional nonlinear elastodynamics

Cites Work

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• Conservation laws in nonlinear elastodynamics
• A class of similarity solutions for radial motions of compressible hyperelastic spheres and cylinders
• Similarity solutions for plane waves in hyperelastic materials
• Isovector fields and similarity solutions for general balance equations
• Symmetry groups and similarity solutions for radial motions of compressible heterogeneous hyperelastic spheres and cylinders
• Symmetry groups for radial motions of compressible hyperelastic spheres and cylinders
• Nonlinear theory of simple micro-elastic solids. I

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