Simulation of melt spinning including flow-induced crystallization

Doufas, Antonios K.; McHugh, A. J.; Miller, C.

doi:10.1016/s0377-0257(00)00088-4

Cited by 213 publications

(222 citation statements)

References 52 publications

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“…γ is the shear rate tensor. Time constant of the rigid dumbbell λ sc (α, T) is related with the relaxation time of fluid λ a (T) by the following empirical form [4,8] …”

Section: Amorphous Phase and Semi-crystalline Phase Modelmentioning

confidence: 99%

“…where η sc (α, T) is the viscosity of semi-crystalline phase which has the following relation with the viscosity of amorphous phase η a (T) [4,8] …”

Section: Amorphous Phase and Semi-crystalline Phase Modelmentioning

confidence: 99%

“…Based on the experimental results, many researchers proposed different analytical models for FIC which are mostly based on the Nakamura equation and the Avrami-Kolmogorov equation [3]. For example, Doufas et al [4], Tanner [5], and Ziabicki [6] applied a multiplying factor function of stress, shear rate, and orientation, respectively, to modify the crystallization kinetic constant in the original Nakamura model to take into account the effect of flow on crystallization. Eder [1], Kosher and Fulchiron [7], and Zheng and Kennedy [8] molded the effect of flow on crystallization by considering nucleation and modified the original Avrami-Kolmogorov model.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Kinetics and Morphology of Flow Induced Polymer Crystallization in 3D Shear Flow Investigated by Monte Carlo Simulation

Ruan

2017

Crystals

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Abstract:To explore the kinetics and morphology of flow induced crystallization of polymers, a nucleation-growth evolution model for spherulites and shish-kebabs is built based on Schneider rate model and Eder model. The model considers that the spherulites are thermally induced, growing like spheres, while the shish-kebabs are flow induced, growing like cylinders, with the first normal stress difference of crystallizing system being the driving force for the nucleation of shish-kebabs. A two-phase suspension model is introduced to describe the crystallizing system, which Finitely Extensible Non-linear Elastic-Peterlin (FENE-P) model and rigid dumbbell model are used to describe amorphous phase and semi-crystalline phase, respectively. Morphological Monte Carlo method is presented to simulate the polymer crystallization in 3D simple shear flow. Roles of shear rate, shear time and shear strain on the crystallization kinetics, morphology, and rheology are analyzed. Numerical results show that crystallization kinetics, morphology and rheology in shear flow are qualitatively in agreement with the theoretical, experimental and other numerical works which verifies the validity and effectiveness of our model and algorithm. To our knowledge, this is the first time that a model and an algorithm revealing the details of crystal morphology have been applied to the flow induced crystallization of polymers.

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“…γ is the shear rate tensor. Time constant of the rigid dumbbell λ sc (α, T) is related with the relaxation time of fluid λ a (T) by the following empirical form [4,8] …”

Section: Amorphous Phase and Semi-crystalline Phase Modelmentioning

confidence: 99%

“…where η sc (α, T) is the viscosity of semi-crystalline phase which has the following relation with the viscosity of amorphous phase η a (T) [4,8] …”

Section: Amorphous Phase and Semi-crystalline Phase Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Kinetics and Morphology of Flow Induced Polymer Crystallization in 3D Shear Flow Investigated by Monte Carlo Simulation

Ruan

2017

Crystals

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“…Finally, several authors have employed models expressed in terms of convected derivatives of stress, such as the upper convected Maxwell model (UCM), see for example Poitou et al (2003), or the more robust Giesekus modified UCM or a finite extensibility adaptation of it (Doufas et al 2000). In addition, the literature provides a number of physically based models with similar structure, that quite successfully capture polymer melt viscoelasticity under a wide range of conditions.…”

Section: Introductionmentioning

confidence: 99%

On the modelling of highly elastic flows of amorphous thermoplastics

Figiel

Buckley

2009

International Journal of Non-Linear Mechanics

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International audienceTwo approaches to the kinematic structuring of constitutive models for highly elastic flows of polymer melts have been examined systematically, assuming either: (1) additivity of elastic and viscous velocity gradients, or (2) multiplicability of elastic and viscous deformation gradients. A series of constitutive models was compared, with differing kinematic structure but the same linear responses in elastic and viscous limits. They were solved numerically and their predictions compared, and they were also compared to those of the Giesekus model. Several variants, previously proposed as separate models, are shown to be equivalent and qualitatively in agreement with experiment, and therefore a sound basis for construction of models. But the assignment of viscous spin is critical: if it is assumed equal to the total spin with approach (1), or equal to zero with approach (2), then unphysical viscoelastic behaviour is predicted

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“…In recent times, more and more sophisticated models have been developed which take into account microstructure, crystallization and viscoelastic effects in the simulation of the spinning process, [2,4,5]. There have been many attempts with regard to understanding the draw resonance mechanism, see [6,9,10].…”

Section: Introductionmentioning

confidence: 99%

Investigation of Stationary Solutions of Viscoelastic Melt Spinning Equations and Stability With Respect to Increasing Viscoelasticity

Dhadwal

Kudtarkar

2010

Mathematical Modelling and Analysis

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Abstract. The one-dimensional equations governing the formation of viscoelastic fibers using Giesekus constitutive equation were studied. Existence and uniqueness of stationary solutions was shown and relation between the stress at the spinneret and the take-up velocity was found. Further, the value of the Giesekus model parameter for which the fibre exhibits Newtonian behaviour was found analytically. Using numerical simulations it was shown that below this value of the parameter the fluid shows extension thickening behaviour and above, extension thinning. In this context, by simulating the non-stationary equations the effect of viscoelasticity on the stability of the spinning process was studied.

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Simulation of melt spinning including flow-induced crystallization

Cited by 213 publications

References 52 publications

Kinetics and Morphology of Flow Induced Polymer Crystallization in 3D Shear Flow Investigated by Monte Carlo Simulation

Kinetics and Morphology of Flow Induced Polymer Crystallization in 3D Shear Flow Investigated by Monte Carlo Simulation

On the modelling of highly elastic flows of amorphous thermoplastics

Investigation of Stationary Solutions of Viscoelastic Melt Spinning Equations and Stability With Respect to Increasing Viscoelasticity

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