An Integral Constitutive Equation Based on Molecular Network Theory

Meister, Bernard J.

doi:10.1122/1.549201

Cited by 39 publications

(18 citation statements)

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“…The parameter C can be treated as a constant (0.295 from the model [5]). At high shear rates, an empirical constant C given in eq.…”

Section: (6)mentioning

confidence: 99%

“…(3)(4)(5) and (10) The equations for shear and normal stress growth after the onset of shear flow given, from eqs. (6) and (10), are…”

Section: "~1-z22 = Q/192 = --~ 2gegx22mentioning

confidence: 99%

“…The other model is the Meister equation [5] which is obtained by taking into consideration the entanglement network as a mass of interacting spheres. The spheres are not molecules but represent spheres of influence of a given interaction within the network [5]. The final Meister equation is given as -oo P=I "~e exp t' 2p…”

Section: + C K a ( T -T') 2 E 'mentioning

confidence: 99%

“…For realistic modelling of polymer processing, the constitutive equation should satisfactorily describe the transient shear flow behavior exhibited by these polymers. Experimental studies on the transient shear flow properties of polymer liquids have been carried out to examine the suitability of various models [5][6][7][8][9][10][11][12][13][14]. Concentrated polymer solutions are usually employed as test liquids because this simplifies the experiments.…”

Section: Introductionmentioning

confidence: 99%

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Transient shear flow properties of fiber-filled polyethylene melts

Kitano

Funabashi

1986

Rheol Acta

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Abstract:The growth and relaxation of shear and normal stresses have been investigated for glass and carbon fiber-filled polyethylene melts over a wide range of shear rates and temperatures by means of a cone-and-plate rheogoniometer. Flow parameters and flow curves characterizing the stress overshoot and relaxation phenomena of the fiber-filled systems were determined experimentally. The influence of fiber loading, fiber size and temperature on the transient flow parameters are discussed.Predictions by the Meister and Bogue constitutive equations were compared with the experimental data for the transient shear and normal stresses. These equations predict satisfactorily the non-linear transient shear flow of polymer melts and its fiber-filled systems.

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“…The parameter C can be treated as a constant (0.295 from the model [5]). At high shear rates, an empirical constant C given in eq.…”

Section: (6)mentioning

confidence: 99%

“…(3)(4)(5) and (10) The equations for shear and normal stress growth after the onset of shear flow given, from eqs. (6) and (10), are…”

Section: "~1-z22 = Q/192 = --~ 2gegx22mentioning

confidence: 99%

Section: + C K a ( T -T') 2 E 'mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Transient shear flow properties of fiber-filled polyethylene melts

Kitano

Funabashi

1986

Rheol Acta

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“…at the moment of observation, (t = t')) various empirical constitutive equations have been obtained [7][8][9][10].…”

Section: Ax~(t ') Oxl(t ') Ci/ 6xi(t) 8xj(t) Glk(t')mentioning

confidence: 99%

An empirical constitutive equation of integral type for viscoelastic liquids

Steller

1985

Rheol Acta

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A 5-constant constitutive equation is proposed. The analytical form for the relaxation modulus as a function of flow conditions was chosen based on experimental data for stress-relaxation in solid polymers. The resulting formulae for the material functions in simple and oscillatory shear flow fulfil the empirical Cox-Merz rule as well as other phenomenological relations formulated by Coleman and Markowitz. The theoretical results are compared with experimental data obtained by Han for various polymer melts. Good agreement between theory and experiment is found.

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A new shift factor for coalescing dynamic viscoelastic data of polymer melts

Shenoy

Saini

1986

Acta Polymerica

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A new shift factor has been introduced for representing dynamic viscoelastic data of polymer melts. I t has been shown that when the melt flow index is used as the shift factor, no arbitrary reference value is required and the coalesced curves are independent of temperature as well as of the grade of the polymer. The utility of the shift factor is demonstrated with high density polyethylene and polystyrene. The method can easily be extended to other polymers as well. Ein neuer Verschiebungsfaktor fur die Zwammenfassung von dynamisch-viskoelastischen Mepergebnissen an PolymerschmelzenEin neuer Verschiebungsfaktor fur die zusammenfassende Darstellung der Ergebnisse dynamisch-viskoelastischer Messungen an Polymerschmelzen wird eingefuhrt. Es wird gezeigt, daB, wenn der Schmelzindev als Verschiebungsfaktor verwendet wird, kein willkurlicher Bezugswert notwendig ist und die vereinigten Kurven sowohl von der Temperatur als auch vom Typ des jeweiligen Polymers unabhangig sind. Die Brauchharkeit des neuen Verschiehungsfaktors fur Polyethylen hoher Dichte und fur Polystyren wird gezeigt. Die Methode kann leicht auf andere Polymere ubertragen werden. Hoebhii $axmop nepenceqenus ass o606qenus aannbax o aunammecxoii ynpyzocmu nosufiepnux pacnJcasosMepHMx pacnnaBoB. n o~a 3 a~0 , TO, Koraa y c n o n b s y e~c~ HHgeKc pacnnaBa B Kasecme +aKTopa nepeMeqemn, HH OT TeMnepaTypM, HH OT m n a n o n m e p a . IIpaMeHneMocTb HoBoro +aKTopa nepeMerqeHm 1 1 o~a 3 a~a H a n p m e p e BBOnHTCH HOBbIfi @aKTOp IIepeMeqeHHFI AJIa 0 6 0 6 1 q e~~n pe3yJlbTaTOB H3MepeHHE RHHaMHseCKOfi ppyr0CTH IIOJIH-TO HeT HeO6XOAHMOCTH BBeCTH IIpOR3BOJIbHYH) CHCTeMy KOOPAHHaT. BOJIee TOl'O, 0 6 0 6 q e~~b 1 e KpHBbIe H e 3aBHCRT IIOJIH3THJleHa B b I C O K O t IIJIOTHOCTH H IIOJIHCTHpOJIa. MeToR JIeFKO IIpHMeHHM H nJIS npYl'HX IIOJIHMepOB.

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An Integral Constitutive Equation Based on Molecular Network Theory

Cited by 39 publications

References 1 publication

Transient shear flow properties of fiber-filled polyethylene melts

Transient shear flow properties of fiber-filled polyethylene melts

An empirical constitutive equation of integral type for viscoelastic liquids

A new shift factor for coalescing dynamic viscoelastic data of polymer melts

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