The anelastic Ericksen problem: universal deformations and universal eigenstrains in incompressible nonlinear anelasticity

DOI10.1007/s10659-020-09797-2zbMath1459.74021OpenAlexW3092275152MaRDI QIDQ2224461

Arash Yavari, Alain Goriely, Christian Goodbrake

Publication date: 3 February 2021

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

Full work available at URL: https://doi.org/10.1007/s10659-020-09797-2

zbMATH Keywords

Riemannian geometrymaterial manifoldresidual stresshyperelasticityEuclidean groupLie group symmetry

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Applications of Lie groups to the sciences; explicit representations (22E70) Applications of differential geometry to physics (53Z05) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (5)

On Hashin's hollow cylinder and sphere assemblages in anisotropic nonlinear elasticity ⋮ Universality in anisotropic linear anelasticity ⋮ The universal program of nonlinear hyperelasticity ⋮ Anisotropic elasticity and harmonic functions in Cartesian geometry ⋮ Accretion mechanics of nonlinear elastic circular cylindrical bars under finite torsion

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