The strong ellipticity condition under changes in the current and reference configuration

DOI10.1007/s10659-010-9286-1zbMath1273.74026OpenAlexW1975254588MaRDI QIDQ644742

Dimitris Sfyris

Publication date: 7 November 2011

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

Full work available at URL: https://doi.org/10.1007/s10659-010-9286-1

zbMATH Keywords

strong ellipticityfinite hyperelastostaticschange of current configurationchange of reference configuration

Mathematics Subject Classification ID

Nonlinear elasticity (74B20)

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Mechanics of materially uniform thin films, Bound estimations of bi-block \(M\)-eigenvalues for bi-block symmetric tensors, Criterion of hyperbolicity in hyperelasticity in the case of the stored energy in separable form, Positive definiteness of paired symmetric tensors and elasticity tensors, Comparing the condition of strong ellipticity and the solvability for a purely elastic problem and the corresponding dislocated problem, Bi-block positive semidefiniteness of bi-block symmetric tensors, Stability of classical shock fronts for compressible hyperelastic materials of Hadamard type

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