A natural generalization of hypoelasticity and Eulerian rate type formulation of hyperelasticity

DOI10.1023/A:1007677619913zbMath0970.74008OpenAlexW193384183MaRDI QIDQ1578537

Otto Timme Bruhns, Heng Xiao, Albert Thomas Marie Meyers

Publication date: 16 October 2001

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

Full work available at URL: https://doi.org/10.1023/a:1007677619913

zbMATH Keywords

invarianceelasticityintegrability conditionsgeneralized hypoelasticityinitial material symmetry groupstress-dependent hypoelasticity tensor

Mathematics Subject Classification ID

Nonlinear elasticity (74B20)

Related Items (13)

Viscoelasticity behavior for finite deformations, using a consistent hypoelastic model based on Rivlin materials ⋮ Covariant spacetime formalism for applications to thermo-hyperelasticity ⋮ On the consequences of the adoption of the Zaremba-Jaumann objective stress rate in FEM codes ⋮ Families of continuous spin tensors and applications in continuum mechanics ⋮ Multiplicative representation of the deformation gradient tensor in geometrically nonlinear multilevel constitutive models ⋮ Basis-free expressions for families of objective strain tensors, their rates, and conjugate stress tensors ⋮ On a class of non-dissipative materials that are not hyperelastic ⋮ New results for the spin of the Eulerian triad and the logarithmic spin and rate ⋮ Elastoplasticity beyond small deformations ⋮ Family of continuous strain-consistent convective tensor rates and its application in Hooke-like isotropic hypoelasticity ⋮ Objective tensor rates and applications in formulation of hyperelastic relations ⋮ A thermodynamic approach to rate-type models of elastic-plastic materials ⋮ Objective symmetrically physical strain tensors, conjugate stress tensors, and Hill's linear isotropic hyperelastic material models

This page was built for publication: A natural generalization of hypoelasticity and Eulerian rate type formulation of hyperelasticity