A visco-hyperelastic damage model for cyclic stress-softening, hysteresis and permanent set in rubber using the network alteration theory

Ayoub, Georges; Zaïri, Fahmi; Naït-Abdelaziz, Moussa; Gloaguen, Jean‐Michel; Kridli, Ghassan T.

doi:10.1016/j.ijplas.2013.08.001

Cited by 90 publications

(33 citation statements)

References 57 publications

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“…This constitutive law is selected among other models (Baghani et al, 2012;Bouvard et al, 2013;Uchida and Tada, 2013;Ayoub et al, 2014), because it furnishes a valid description for the finite elastic behavior of many real rubber-like materials, provided that the deformations are not too extreme.…”

Section: Neo-hookean Modelmentioning

confidence: 99%

Investigation of localized necking in substrate-supported metal layers: Comparison of bifurcation and imperfection analyses

Bettaieb

Abed‐Meraim

2015

International Journal of Plasticity

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a b s t r a c tLocalized necking is often considered as precursor to failure in metal components. In modern technologies, functional components (e.g., in flexible electronic devices) may be affected by this necking phenomenon, and to avoid the occurrence of strain localization, elastomer substrates are bonded to the metal layers. This paper proposes an investigation of the development of localized necking in both freestanding metal layers and elastomer/ metal bilayers. Finite strain versions of both rigid-plastic flow theory and deformation theory of plasticity are employed to model the mechanical response of the metal layer. For the elastomer, a neo-Hookean constitutive law is considered. Localized necking is predicted using both bifurcation (whenever possible) and Marciniak-Kuczynski analyses. A variety of numerical results are presented, which pertain to the prediction of localized necking in freestanding metal layers and metal/substrate bilayers. The effects of the constitutive framework and the presence of an elastomer substrate on strain localization predictions have been specifically highlighted. It is demonstrated that the addition of an elastomer layer can retard significantly the occurrence of localized necking. It is also demonstrated that the results of the Marciniak-Kuczynski analysis tend towards the bifurcation predictions in the limit of a vanishing size for the geometric imperfection.

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Section: Neo-hookean Modelmentioning

confidence: 99%

Investigation of localized necking in substrate-supported metal layers: Comparison of bifurcation and imperfection analyses

Bettaieb

Abed‐Meraim

2015

International Journal of Plasticity

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“…Applied on soft material, some modellings have physical motivations (as damage of the collagenous components (Hurschler et al, 1997;Liao and Belkoff, 1999) while others are more phenomenological (Horstemeyer and Bammann, 2010). Some models include both Mullins effects and permanent set (Ayoub et al, 2014;Dorfmann and Ogden, 2004), among them some are concerned with soft materials (Peña, 2014;Peña et al, 2011).…”

Section: Introductionmentioning

confidence: 99%

Constitutive modeling of stress softening and permanent set in a porcine skin tissue: Impact of the storage preservation

Caro-Bretelle

Ienny

Léger

et al. 2016

Journal of Biomechanics

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Prior to testing, soft tissues are usually maintained in different media and additives (solution, air, cryopreservant…) under various environment conditions (temperature, storage duration….). In many cases, results from mechanical tests performed on these stored tissues are supposed to be as closed as possible to the fresh ones. In the present work, cyclic tensile tests were performed with increasing values of strain on porcine skin tissues (excised following the Langer's lines) to enhance tissues mechanical nonlinearity such as softening behavior and permanent set. Optical methods were used to follow the in-plane strains evolution. These latest values were used as data to simulate the structural behavior of these heterogeneous materials. The numerical simulation is based on the constitutive pseudo-elastic model accounting for the softening behavior as well as the permanent set. As a result, reliable material parameters were extracted from the experiments/model comparison for each storage solution. The result of this study reveals that preservation conditions must be carefully chosen: at low strain the tissues store in fridge in a saline solution during a short time, or in freezer (-80°C) in water with cryopreservant and the fresh one lead to a similar mechanical response. For larger strain, the freezing (-80°C) in water with cryopreservant is the only procedure for which the tissue recovers its initial behavior.

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“…To include the time-dependency in a modelling framework, both phenomenological models [66,67], and micromechanically motivated models building on the reptation-type tube theory [68][69][70] and the transient network theory [71][72][73] have been proposed.…”

Section: Viscoelastic Modellingmentioning

confidence: 99%

Volume growth during uniaxial tension of particle-filled elastomers at various temperatures – Experiments and modelling

Ilseng

Skallerud

Clausen

2017

Journal of the Mechanics and Physics of Solids

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A visco-hyperelastic damage model for cyclic stress-softening, hysteresis and permanent set in rubber using the network alteration theory

Cited by 90 publications

References 57 publications

Investigation of localized necking in substrate-supported metal layers: Comparison of bifurcation and imperfection analyses

Investigation of localized necking in substrate-supported metal layers: Comparison of bifurcation and imperfection analyses

Constitutive modeling of stress softening and permanent set in a porcine skin tissue: Impact of the storage preservation

Volume growth during uniaxial tension of particle-filled elastomers at various temperatures – Experiments and modelling

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