Rate-independent systems

A Mielke, T Roubíček - Applied Mathematical Sciences, 2015 - Springer
Our work on rate-independent systems was stimulated by our search for evolutionary
material models for shape-memory alloys that are flexible enough to encompass nonlinear …

A constitutive model for the Mullins effect with permanent set in particle-reinforced rubber

A Dorfmann, RW Ogden - International Journal of Solids and Structures, 2004 - Elsevier
Stress softening during initial loading cycles, known as the Mullins effect, and the residual
strain upon unloading are not accounted for when the mechanical properties of rubber are …

Influence of the temperature on the mechanical behaviour of filled and unfilled silicone rubbers

T Rey, G Chagnon, JB Le Cam, D Favier - Polymer Testing, 2013 - Elsevier
This paper investigates the effects of temperature on the mechanical properties of silicone
rubbers. First, differential scanning calorimetry tests are performed to determine the …

From the onset of damage to rupture: construction of responses with damage localization for a general class of gradient damage models

K Pham, JJ Marigo - Continuum Mechanics and Thermodynamics, 2013 - Springer
We propose a construction method of non-homogeneous solutions for the traction problem
of an elastic damaging bar. This bar has a softening behavior that obeys a gradient …

Rate-independent damage processes in nonlinear elasticity

A Mielke, T Roubíček - … Models and Methods in Applied Sciences, 2006 - World Scientific
Damage of an elastic body undergoing large deformations by a" hard-device" loading
possibly combined with an impact (modeled by a unilateral frictionless contact) of another …

A micro–macro constitutive model for finite-deformation viscoelasticity of elastomers with nonlinear viscosity

J Zhou, L Jiang, RE Khayat - Journal of the Mechanics and Physics of …, 2018 - Elsevier
Elastomers are known to exhibit viscoelastic behavior under deformation, which is linked to
the diffusion processes of the highly mobile and flexible polymer chains. Inspired by the …

A theory of stress softening of elastomers based on finite chain extensibility

CO Horgan, RW Ogden… - Proceedings of the …, 2004 - royalsocietypublishing.org
In this paper we develop a theory to describe the Mullins effect in rubber–like solids, based
on the notion of limiting chain extensibility associated with the Gent model of rubber …

Experimental investigation of the stress–stretch behavior of EPDM rubber with loading rate effects

M Cheng, W Chen - International Journal of Solids and Structures, 2003 - Elsevier
The tensile stress–stretch behavior of an ethylene–propylene–diene terpolymer (EPDM)
was experimentally investigated, both in a quasi-static stretching rate range (< 0.4/s) with a …

Molecular insight into the Mullins effect: irreversible disentanglement of polymer chains revealed by molecular dynamics simulations

C Ma, T Ji, CG Robertson, R Rajeshbabu… - Physical Chemistry …, 2017 - pubs.rsc.org
The debate regarding the possible molecular origins of the Mullins effect has been ongoing
since its discovery. Molecular dynamics (MD) simulations were carried out to elucidate the …

Effect of temperature history on the mechanical behaviour of a filler‐reinforced NR/BR blend: literature review and critical experiments

A Amin, A Lion, P Höfer - ZAMM‐Journal of Applied …, 2010 - Wiley Online Library
The influence of the temperature history on the Mullins effect, its recovery behaviour and the
rate dependence is experimentally investigated using NR/BR (NR: natural rubber, BR …