How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity
The mechanical response of a homogeneous isotropic linearly elastic material can be fully
characterized by two physical constants, the Young's modulus and the Poisson's ratio, which …
characterized by two physical constants, the Young's modulus and the Poisson's ratio, which …
Stochastic isotropic hyperelastic materials: constitutive calibration and model selection
Biological and synthetic materials often exhibit intrinsic variability in their elastic responses
under large strains, owing to microstructural inhomogeneity or when elastic data are …
under large strains, owing to microstructural inhomogeneity or when elastic data are …
Hypo-elasticity, Cauchy-elasticity, corotational stability and monotonicity in the logarithmic strain
P Neff, S Holthausen, MV d'Agostino… - arXiv preprint arXiv …, 2024 - arxiv.org
We combine the rate-formulation for the objective, corotational Zaremba-Jaumann
rate\begin {align}\frac {{\rm D}^{\rm ZJ}}{{\rm D} t}[\sigma]=\mathbb {H}^{\rm ZJ}(\sigma) …
rate\begin {align}\frac {{\rm D}^{\rm ZJ}}{{\rm D} t}[\sigma]=\mathbb {H}^{\rm ZJ}(\sigma) …
A visco-hyperelastic model with Mullins effect for polyurethane elastomers combining a phenomenological approach with macromolecular information
BP Reis, LM Nogueira, DA Castello, LA Borges - Mechanics of Materials, 2021 - Elsevier
The classical generalized formulations for nonlinear viscoelastic behaviour do not represent
the state of the art of modelling elastomeric materials and significant effects observed on …
the state of the art of modelling elastomeric materials and significant effects observed on …
[图书][B] Stochastic elasticity: a nondeterministic approach to the nonlinear field theory
LA Mihai - 2022 - books.google.com
Stochastic elasticity is a fast developing field that combines nonlinear elasticity and
stochastic theories in order to significantly improve model predictions by accounting for …
stochastic theories in order to significantly improve model predictions by accounting for …
A finite element implementation of the isotropic exponentiated Hencky-logarithmic model and simulation of the eversion of elastic tubes
We investigate a finite element formulation of the exponentiated Hencky-logarithmic model
whose strain energy function is given by W_ eH (F)= μ k\, e^\displaystyle k\left|| dev _n\log …
whose strain energy function is given by W_ eH (F)= μ k\, e^\displaystyle k\left|| dev _n\log …
Injectivity of the Cauchy-stress tensor along rank-one connected lines under strict rank-one convexity condition
In this note, we show that the Cauchy stress tensor σ σ in nonlinear elasticity is injective
along rank-one connected lines provided that the constitutive law is strictly rank-one convex …
along rank-one connected lines provided that the constitutive law is strictly rank-one convex …
Hyperelastic bodies under homogeneous Cauchy stress induced by three-dimensional non-homogeneous deformations
In isotropic finite elasticity, unlike in linear elastic theory, a homogeneous Cauchy stress may
be induced by non-homogeneous strains. To illustrate this, we identify compatible non …
be induced by non-homogeneous strains. To illustrate this, we identify compatible non …
More on anti-plane shear
We reconsider anti-plane shear deformations based on prior work of Knowles and relate the
existence of anti-plane shear deformations to fundamental constitutive concepts of elasticity …
existence of anti-plane shear deformations to fundamental constitutive concepts of elasticity …