A Bubble Inflation Technique for the Measurement of Viscoelastic Properties in Equal Biaxial Extensional Flow

Joye, Donald D.; Poehlein, Gary W.; Denson, C. D.

doi:10.1122/1.549259

Cited by 88 publications

(28 citation statements)

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“…This method has long been used for the characterisation of synthetic polymers, especially rubbers and polymer melts by many researchers, e.g. Yang and Dealy (1987), Joye et al (1972), Treloar (1944), Reuge et al (2001) and Rachik et al (2001). Apart from dough, other biological materials that have been characterised using the same method include arterial tissue and fruit skins, as reviewed by Shadwick (1992).…”

Section: Introductionmentioning

confidence: 99%

Biaxial deformation of dough using the bubble inflation technique. I. Experimental

et al. 2002

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Section: Introductionmentioning

confidence: 99%

Biaxial deformation of dough using the bubble inflation technique. I. Experimental

et al. 2002

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“…Du point de vue expérimental, les expériences de soufflage libre des membranes caoutchouteuses ou en polymère circulaires sont réalisées autantà des températures moinsélevées que celles de la mise en forme (Joye et al, 1972); (Schmidt and Carley, 1975); (Devries et al, 1977) qu'à des températures semblablesà celles rencontrées en thermoformage ; (Li et al, 2001); (Rasmussen et al, 2000); . Pour ce genre d'expérience, on rencontre deux approches pour l'identification structurale des paramètres mécaniques ou rhéologiques des membranes hyperélastiques et viscoélastiques: (i) celle qui utilise des algorithmes des moindres carrés (Erchiqui and Derdouri, 2005), (Verron et al, 1999) et (ii) celle qui utilise des algorithmes de types neuronales (Erchiqui, 2005); (Erchiqui and Derdouri, 2005).…”

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Caractérisation viscoélastique du comportement d'une membrane thermoplastique et modélisation numérique de thermoformage

et al. 2010

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Dans cet article nous nous intéressons, d'une part,à la caractérisation biaxiale, en soufflage libre du comportement viscoélastique des membranes thermoplastiques circulaires et amorphes, et d'autre part,à la simulation numérique de thermoformage. La membrane thermoplastique utilisée est l'ABS (Acrylonitrile butadiène styrène). Pour l'identification du comportement du thermoplastique, nous considérons le modèle intégral de Lodge. Dans un premier temps, nous utilisons la méthode des différences finiesà pas variables pour la résolution du problème d'équilibre de la membrane et, ensuite, un algorithme modifié de Levenberg-Marquardt pour minimiser la différence entre la pression calculée et celle mesurée. Ceci permet l'identification des constantes matérielles incorporées dans le modèle utilisé. Pour la simulation numérique de thermoformage, nous considérons la MEF en dynamique explicite et une charge en débit d'air qui obéità l'équation d'état de Redlich-Kwong des gaz réels. Pour cela, nous adoptons une formulation lagrangienne et l'hypothèse de la théorie des membranes. Le code paréléments finis résultant, nous a permis d'étudier, en thermoformage, l'influence de la loi de comportement sur la distribution finale desépaisseurs et des contraintes dans une pièce en ABS.In this work, we are interested, on the one hand in the characterization of circular polymeric ABS membrane under biaxial deformation using the bubble inflation technique, on the other hand in modelling and numerical simulation of the thermoforming of ABS materials using the dynamic finite element method. The viscoelastic behaviour of the Lodge model is considered. First, the governing equations for the inflation of a flat circular membrane are solved using a variable-step-size-finite difference method and a modified Levenberg-Marquardt algorithm to minimize the difference between the calculated and measured inflation pressure. This will determine the material constants embedded within the model used. For dynamic finite elements method, we consider a nonlinear load in air flow which obeys the Redlich-Kwong equation of state of the real gases. For numerical simulation, the lagrangian formulation together with the assumption of the membrane theory is used. Moreover, the influence of the viscoelastic model on the thickness and on the stress distribution in the thermoforming sheet are analysed for ABS material.Mots clés: viscoélastique, ABS,éléments finis, caractérisation biaxiale, gaz réel,équation d'état de Redlich-Kwong, thermoformage.

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“…Until recently, only two special cases of such general tests could be realized [4]. These were equibiaxial and planar elongations performed by means of the following techniques: bubble inflation [5][6][7], rotary clamps [8,13,14] stagnation flow [9][10][11] or simple compression [12].…”

Section: Introductionmentioning

confidence: 99%

Multiaxial elongation of polyisobutylene with various and changing strain rate ratios

Demarmels

Meißner

1985

Rheol Acta

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Abstract:The multiaxial elongational rheometer equipped with rotary clamps is modified such that in addition to simple, equibiaxial and multiaxial elongations also tests with new modes of elongation can be performed. As an example, polyisobutylene is elongated with a ratio of the principal strain rates of m = ka2/kl~ = 0.5 and magnitudes of the maximum strain rate kll = 0.008, 0.04 and 0.08 s-1. As a test result, the first elongational viscosity/~i (t) is obtained which follows closely the linear viscoelastic shear yiscosity 0 (t). In contrast, the second elongational viscosity /~2 (t) remains below 0 (t). By means of a further modification of the rheometer, the test modes can be varied during the deformation period. This allows one to investigate the influence of a well-defined rheological pre-history on the following rheological behaviour. As an example a variation of m = 0.5 --* 2 was performed. The measured normal-stress differences superpose from the single steps of deformation similar to the linear viscoelastic prediction.

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A Bubble Inflation Technique for the Measurement of Viscoelastic Properties in Equal Biaxial Extensional Flow

Cited by 88 publications

References 0 publications

Biaxial deformation of dough using the bubble inflation technique. I. Experimental

Biaxial deformation of dough using the bubble inflation technique. I. Experimental

Caractérisation viscoélastique du comportement d'une membrane thermoplastique et modélisation numérique de thermoformage

Multiaxial elongation of polyisobutylene with various and changing strain rate ratios

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