Stress assisted diffusion in elastic and viscoelastic materials

Weitsman, Y.

doi:10.1016/0022-5096(87)90029-9

Cited by 119 publications

(79 citation statements)

References 25 publications

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“…Similar expressions, with a chemical potential that depends linearly on the hydrostatic pressure, have been obtained previously, for instance by Weitsman [3] and Wu [4], but without the molar mass of water appearing explicitly, which may be due to different definitions of the chemical potential used. Similarly, expressions have also been given for diffusion in metals (Larché and Cahn [5], for instance), but the correspondence between ω w /ρ p and the density of lattice sites used in the latter context is not trivial.…”

Section: Modification Of the Chemical Potential By Applied Stressesmentioning

confidence: 58%

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The effect of applied stresses on the equilibrium moisture content in polymers

Derrien

Pierre

2007

Scripta Materialia

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To cite this version:Katell Derrien, Pierre Gilormini. The effect of applied stresses on the equilibrium moisture content in polymers. Scripta Materialia, Elsevier, 2007, 56 (4) Abstract -The relation between saturation moisture content in a polymer and applied stresses is derived as a function of the coefficient of moisture expansion. The model predictions are compared favourably with experimental data taken from the literature.

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Section: Modification Of the Chemical Potential By Applied Stressesmentioning

confidence: 58%

“…Weitsman [3] had already obtained a linear law for the saturation level in a polymer under stress, but the coefficients were not explicited. Here, the expression of the saturation law is related to material parameters, and it can be compared to experimental observations.…”

Section: Modification Of the Chemical Potential By Applied Stressesmentioning

confidence: 99%

The effect of applied stresses on the equilibrium moisture content in polymers

Derrien

Pierre

2007

Scripta Materialia

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“…The previous representation of the microstructure allows us to consider that a semicrystalline polymer immersed in a natural environment is comparable to an open system [38,42,69]. Indeed, a certain quantity of products is susceptible to cross it at any time, with a kinetics of diffusion appropriate for the various species of the system.…”

Section: Thermodynamic Frameworkmentioning

confidence: 99%

A Two-Phase Model for the Mechanical Behavior of Semicrystalline Polymers

Cangémi

Meimon

2001

Oil & Gas Science and Technology - Rev. IFP

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Résumé -Un modèle biphasique pour le comportement mécanique des polymères semi-cristallins -L'utilisation croissante des polymères semi-cristallins (PSC) dans des structures industrielles complexes nécessite la mise au point de modèles de comportement mécanique fiables et prédictifs. Après avoir rappelé les différentes approches développées dans la littérature, nous présentons des résultats expérimentaux obtenus sur du PVDF et sur du PA11. Ceux-ci montrent que ces polymères sont sensibles à la contrainte moyenne et que leur déformation volumique, loin d'être négligeable, doit être prise en compte pour la modélisation du comportement du matériau. À partir des modèles mécaniques existant dans la littérature, on peut définir trois grandes classes de modélisation en fonction de l'échelle de représentation utilisée (micro, méso et macro) et de la nature des informations qu'elles permettent d'extraire de la microstructure. Il s'avère que l'adoption d'une échelle mésoscopique intermédiaire constitue un bon compromis entre difficultés théoriques et richesse de modélisation. Ce choix pragmatique s'appuie sur une représentation biphasique particulière de la microstructure des PSC. Elle permet d'effectuer une transition continue entre l'échelle mésoscopique et l'échelle macroscopique. L'utilisation de la thermodynamique des systèmes ouverts conduit à introduire une équation de couplage mécanique entre une phase solide (comprenant le cristal) et une phase dite « molle » ou « fluide » (essentiellement amorphe). Le modèle est ensuite complété par une formulation élastoviscoplastique permettant de décrire la variation de volume particulière des PSC, leur sensibilité à la vitesse de sollicitation et à la contrainte moyenne. La modélisation est confrontée aux résultats d'essais de traction effectués sur ces deux types de PSC utilisés dans l'industrie pétrolière.Mots-clés : polymères semi-cristallins, PA11, PVDF, essais de traction, essais de compression, fluage, relaxation, élastoviscoplasticité, thermodynamique des systèmes ouverts.Abstract -A Two-Phase Model for the Mechanical Behavior of Semicrystalline Polymers -The increasing use of semicrystalline polymers (SCP) in complex industrial structures, requires the development of reliable and predictive mechanical behavior models. The various approaches developed in the literature are considered and experimental results obtained from tests on PVF 2 and on PA11 are presented. These results show that these polymers are sensitive to the mean stress, and that the volume strain cannot be neglected and should be taken into account to model the material behavior. From the mechanical models existing in the literature, one can define three categories according to the scale of representation used (micro, meso and macro) and the information which they allow to extract from the microstructure. It turns out that the adoption of an intermediate meso-scale constitutes a good compromise between theoretical difficulties and richness of modeling. This pragmatic choice leans on a two-phase represen...

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“…We study the modern continuum theory for diffusion of an incompressible liquid in an incompressible elastomer [Treloar 1975;Truesdell 1962;Adkins 1964;Weitsman 1987;Shi et al 1981;Rajagopal 2003;Baek and Srinivasa 2004;Prasad and Rajagopal 2006]. In addition to examining the structure of constitutive equations and initial-boundary-value problems, we study the role of a local intermediate configuration induced by free swelling, defined as dilation of the polymer network in the absence of stress due to the presence of an infused liquid.…”

Section: Introductionmentioning

confidence: 99%

Untitled

2013

Math. Mech. Compl. Sys.

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We derive the detailed structures of the 6 × 6 matrices N i and N (−1) i (i = 1, 2, 3) in the Stroh formalism of anisotropic elasticity for quasicrystals. All six matrices are expressed explicitly in terms of the sixty-six reduced elastic compliances. The Green's functions for bi-quasicrystals are also obtained. Next, we derive compliant and stiff interface models in anisotropic quasicrystalline bimaterials. It is observed that the phonon normal traction is always continuous across the stiff interface. Finally we present the asymptotic fields associated with a tractionfree, semi-infinite interface crack in anisotropic quasicrystalline bimaterials and solve the collinear interface crack problem. The interface crack-tip field consists of three two-dimensional oscillatory singularities which are evaluated via the introduction of three complex stress intensity factors.

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Stress assisted diffusion in elastic and viscoelastic materials

Cited by 119 publications

References 25 publications

The effect of applied stresses on the equilibrium moisture content in polymers

The effect of applied stresses on the equilibrium moisture content in polymers

A Two-Phase Model for the Mechanical Behavior of Semicrystalline Polymers

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