Infinitesimal deformations of finite conjugacies in nonlinear classical or general relativistic theory of elasticity

DOI10.1016/0167-2789(89)90103-6zbMath0665.73014OpenAlexW2034115700MaRDI QIDQ1116382

Publication date: 1989

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(89)90103-6

zbMATH Keywords

finite conjugacy infinitesimal displacement equations infinitesimal perturbation infinitesimal relativistic strain- tensors Newtonian elasticity nonlinear covariant theory relativistic elastic continua well-determined system of partial differential equations

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Applications of manifolds of mappings to the sciences (58D30) Applications of global differential geometry to the sciences (53C80) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (5)

Consistent hypo-elastic behavior using the four-dimensional formalism of differential geometry ⋮ Incremental constitutive models for elastoplastic materials undergoing finite deformations by using a four-dimensional formalism ⋮ Derivation of Cosserat's medium equations using different multi-dimensional frameworks ⋮ 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

Cites Work

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