Hyperelastic models for rubber-like materials: consistent tangent operators and suitability for Treloar's data

P Steinmann, M Hossain, G Possart - Archive of Applied Mechanics, 2012 - Springer
Rubber-like materials consist of chain-like macromolecules that are more or less closely
connected to each other via entanglements or cross-links. As an idealisation, this particular …

Polyconvexity of generalized polynomial-type hyperelastic strain energy functions for near-incompressibility

S Hartmann, P Neff - International journal of solids and structures, 2003 - Elsevier
In this article we investigate several models contained in the literature in the case of near-
incompressibility based on invariants in terms of polyconvexity and coerciveness inequality …

A review of volume changes in rubbers: the effect of stretching

JB Le Cam - Rubber chemistry and technology, 2010 - meridian.allenpress.com
Elastomeric materials are subjected to significant change in volume during their
deformation. This paper proposes to review the change in volume of stretched rubber and to …

More hyperelastic models for rubber-like materials: consistent tangent operators and comparative study

M Hossain, P Steinmann - Journal of the Mechanical Behavior of …, 2013 - degruyter.com
Rubber-like materials can deform largely and nonlinearly upon loading, and they return to
the initial configuration when the load is removed. Such rubber elasticity is achieved due to …

On the development of volumetric strain energy functions

S Doll, K Schweizerhof - J. Appl. Mech., 2000 - asmedigitalcollection.asme.org
To describe elastic material behavior the starting point is the isochoric-volumetric
decoupling of the strain energy function. The volumetric part is the central subject of this …

On some mixed finite element methods for incompressible and nearly incompressible finite elasticity

U Brink, E Stein - Computational Mechanics, 1996 - Springer
We compare some mixed methods based on different variational formulations, namely a
displacement-pressure formulation employed by de Borst and coworkers, the three-field …

Extension of the 'solid‐shell'concept for application to large elastic and large elastoplastic deformations

R Hauptmann, K Schweizerhof… - International Journal for …, 2000 - Wiley Online Library
In the present contribution we extend a previously proposed so‐called solid–shell concept
which incorporates only displacement degrees of freedom to the simulation of large elastic …

A mixed polygonal finite element formulation for nearly-incompressible finite elasticity

B Sauren, S Klarmann, L Kobbelt, S Klinkel - Computer Methods in Applied …, 2023 - Elsevier
In this work, we present a mixed formulation based on the scaled boundary parameterization
for the analysis of nearly-incompressible hyperelastic materials at finite strains. The …

A linearized consistent mixed displacement-pressure formulation for hyperelasticity

C Kadapa, M Hossain - Mechanics of Advanced Materials and …, 2022 - Taylor & Francis
We propose a novel mixed displacement-pressure formulation based on an energy
functional that takes into account the relation between the pressure and the volumetric …

Implicit finite incompressible elastodynamics with linear finite elements: A stabilized method in rate form

S Rossi, N Abboud, G Scovazzi - Computer Methods in Applied Mechanics …, 2016 - Elsevier
We propose a stabilization method for linear tetrahedral finite elements, suitable for the
implicit time integration of the equations of nearly and fully incompressible nonlinear …