On the central role of the invariant \(I_2\) in nonlinear elasticity
type: Item
instance of: scholarly article
title: On the central role of the invariant \(I_2\) in nonlinear elasticity
author: Afshin Anssari-Benam
author: Andrea Bucchi
author: Giuseppe Saccomandi
published in: International Journal of Engineering Science
publication date: 2021-07-28T00:00:00Z
Mathematics Subject Classification ID: 74-XX
Mathematics Subject Classification ID: 92-XX
zbMATH DE Number: 7375789
zbMATH Keywords: additive split of \(W( I_1,I_2)\)
zbMATH Keywords: \(I_2\) term
zbMATH Keywords: modelling
zbMATH Keywords: rubber-like materials
zbMATH Keywords: logarithmic \(I_2\) term
MaRDI profile type: Publication
full work available at URL: j.ijengsci.2021.103486
OpenAlex ID: W3161303621
cites work: On a new class of non-Gaussian molecular-based constitutive models with limiting chain extensibility for incompressible rubber-like materials
cites work: A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials
cites work: An average-stretch full-network model for rubber elasticity
cites work: A strain energy function for vulcanized rubbers
cites work: Hyperbolic Conservation Laws in Continuum Physics
cites work: Methodical fitting for mathematical models of rubber-like materials
cites work: An elementary molecular-statistical basis for the Mooney and Rivlin-Saunders theories of rubber elasticity
cites work: Simple torsion of isotropic, hyperelastic, incompressible materials with limiting chain extensibility
cites work: A molecular-statistical basis for the Gent constitutive model of rubber elasticity
cites work: An 8-chain model for rubber-like materials accounting for non-affine chain deformations and topological constraints
cites work: A new \(I_{1}\)-based hyperelastic model for rubber elastic materials
cites work: A micro-macro approach to rubber-like materials. I: The non-affine micro-sphere model of rubber elasticity
cites work: Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids
cites work: Fitting hyperelastic models to experimental data
cites work: On implicit constitutive theories.
cites work: Conspectus of concepts of elasticity
cites work: Large elastic deformations of isotropic materials IV. further developments of the general theory
cites work: Q5791093
cites work: Large elastic deformations of isotropic materials VII. Experiments on the deformation of rubber
cites work: The Strain-Energy Function for Elastomers
cites work: Universal results in finite elasticity
cites work: Risultati semplici della teoria non linearizzata dell’Elasticità
cites work: Das ungelöste Hauptproblem der endlichen Elastizitätstheorie
cites work: Some results for generalized neo-Hookean elastic materials
cites work: Novel strategies for parameter fitting procedure of the Ogden hyperfoam model under shear condition
DOI: 10.1016/J.IJENGSCI.2021.103486
description: scientific article; zbMATH DE number 7375789