Covariantization of nonlinear elasticity

DOI10.1007/s00033-011-0191-7zbMath1325.74029OpenAlexW2152182583MaRDI QIDQ1938478

Arash Yavari, Jerrold E. Marsden

Publication date: 4 February 2013

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

Full work available at URL: https://doi.org/10.1007/s00033-011-0191-7

zbMATH Keywords

nonlinear elasticitygeometric mechanicscovariant elasticity

Mathematics Subject Classification ID

Nonlinear elasticity (74B20)

Related Items (7)

Consistent hypo-elastic behavior using the four-dimensional formalism of differential geometry ⋮ A frame-indifferent model for a thermo-elastic material beyond the three-dimensional Eulerian and Lagrangian descriptions ⋮ Covariant spacetime formalism for applications to thermo-hyperelasticity ⋮ Infinitesimally affine deformations of a hypersurface ⋮ Continuum dynamics on manifolds: application to elasticity of residually-stressed bodies ⋮ Rate formulations in nonlinear continuum mechanics ⋮ Geometric derivation of the microscopic stress: a covariant central force decomposition

Cites Work

• Unnamed Item
• Unnamed Item
• A geometric theory of growth mechanics
• On the rotated stress tensor and the material version of the Doyle- Ericksen formula
• Representations of spacetime diffeomorphisms. I: Canonical parametrized field theories. II: Canonical geometrodynamics
• Riemann-Cartan geometry of nonlinear dislocation mechanics
• On spatial and material covariant balance laws in elasticity
• Parametrization and stress–energy–momentum tensors in metric field theories
• A geometric theory of thermal stresses

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