Nonlinear orthotropic elasticity: only six invariants are independent
From MaRDI portal
Publication:1937975
DOI10.1007/s10659-012-9389-yzbMath1264.74012OpenAlexW2010022835MaRDI QIDQ1937975
Publication date: 1 February 2013
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10659-012-9389-y
Related Items (12)
Seven invariants are needed to characterize general orthotropic elastic materials: A comment on ``Nonlinear orthotropic elasticity: only six invariants are independent ⋮ On the independence of strain invariants of two preferred direction nonlinear elasticity ⋮ The number of independent invariants for $n$ symmetric second order tensors ⋮ New sets of spectral invariants for electro-elastic bodies with one and two families of fibres ⋮ An orthotropic active-strain model for the myocardium mechanics and its numerical approximation ⋮ A principal axis formulation for nonlinear magnetoelastic deformations: isotropic bodies ⋮ On the response of anisotropic elastic bodies described by implicit constitutive relations ⋮ On the number of invariants in the strain energy density of an anisotropic nonlinear elastic material with two material symmetry directions ⋮ A nonlinear electro-elastic model with residual stresses and a preferred direction ⋮ Anisotropic separable free energy functions for elastic and non-elastic solids ⋮ Mathematical formulations for elastic magneto-electrically coupled soft materials at finite strains: time-independent processes ⋮ A novel mixed finite element for finite anisotropic elasticity: the SKA-element simplified kinematics for anisotropy
Cites Work
- Unnamed Item
- The influence of the invariant \(I_8\) on the stress-deformation and ellipticity characteristics of doubly fiber-reinforced non-linearly elastic solids
- Physically based invariants for nonlinear elastic orthotropic solids
- Constitutive modelling of passive myocardium: a structurally based framework for material characterization
This page was built for publication: Nonlinear orthotropic elasticity: only six invariants are independent
