Hot-drawing of poly(methyl methacrylate) and simulation using a glass–rubber constitutive model

Dooling, P. J.; Buckley, C. P.; Rostami, S.; Zahlan, N.

doi:10.1016/s0032-3861(01)00799-6

Cited by 64 publications

(53 citation statements)

References 27 publications

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“…Over the past thirty years, considerable effort has been devoted to developing constitutive models to represent the large-deformation elastic-viscoplastic behavior of amorphous thermoplastic polymers (cf., e.g., Parks et al, 1985;Boyce et al, 1988;Buckley and Jones, 1995;Boyce et al, 2000;Govaert et al, 2000;Dooling et al, 2002;Anand and Gurtin, 2003;Anand and Ames, 2006;Dupaix and Boyce, 2007). These models have been primarily used to describe the isothermal deformation of these polymers below their glass transition temperatures.…”

Section: Constitutive Theorymentioning

confidence: 99%

“…Such a multi-mechanism generalization forms the basis of the work of Buckley, Boyce, and their co-workers (e.g., Buckley and Jones, 1995;Bergstrom and Boyce, 1998;Boyce et al, 2000;Dooling et al, 2002;Dupaix and Boyce, 2007). For each micromechanism indexed by α, we refer to F p (α) and F e (α) as the plastic and elastic parts of F.…”

Section: Constitutive Theorymentioning

confidence: 99%

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Thermally actuated shape-memory polymers: Experiments, theory, and numerical simulations

Srivastava

Chester

Anand

2010

Journal of the Mechanics and Physics of Solids

165

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With the aim of developing a thermo-mechanically-coupled large-deformation constitutive theory and a numerical-simulation capability for modeling the response of thermally-actuated shape-memory polymers, we have (i) conducted large strain compression experiments on a representative shape-memory polymer to strains of approximately unity at strain rates of 10 −3 s −1 and 10 −1 s −1 , and at temperatures ranging from room temperature to approximately 30 C above the glass transition temperature of the polymer; (ii) formulated a thermo-mechanically-coupled large-deformation constitutive theory; (iii) calibrated the material parameters appearing in the theory using the stress-strain data from the compression experiments; (iv) numerically implemented the theory by writing a user-material subroutine for a widely-used finite element program; and (v) conducted representative experiments to validate the predictive capability of our theory and its numerical implementation in complex three-dimensional geometries. By comparing the numericallypredicted response in these validation simulations against measurements from corresponding experiments, we show that our theory is capable of reasonably accurately reproducing the experimental results. As a demonstration of the robustness of the three-dimensional numerical capability, we also show results from a simulation of the shape-recovery response of a stent made from the polymer when it is inserted in an artery modeled as a compliant elastomeric tube.

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Section: Constitutive Theorymentioning

confidence: 99%

Section: Constitutive Theorymentioning

confidence: 99%

Thermally actuated shape-memory polymers: Experiments, theory, and numerical simulations

Srivastava

Chester

Anand

2010

Journal of the Mechanics and Physics of Solids

165

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“…7 Such a multi-mechanism generalization forms the basis of the work of Buckley, Boyce, and their co-workers (e.g., Buckley and Jones, 1995;Boyce et al, 2000;Dooling et al, 2002;Dupaix and Boyce, 2007). For each micromechanism indexed by α, we refer to F p (α) and F e (α) as the plastic and elastic parts of F. 8 Restrict attention to a prescribed material point X, and let x denote its place in the deformed configuration at a fixed time t. Then, bearing in mind that (for X fixed) the linear transformations F e (α) (X) and F p (α) (X) at X are invertible, we let…”

Section: Theorymentioning

confidence: 99%

“…Constitutive theories aimed at this class of applications have been proposed by Buckley and co-workers (e.g., Buckley and Jones, 1995;Dooling et al, 2002), as well as Boyce and co-workers (e.g., Boyce et al, 2000;Dupaix and Boyce, 2007). Guided by the work of Buckley, Boyce, and their co-workers, and our own recent papers on the mechanical behavior of polymers below ϑ g Ames et al, 2009), it is the purpose of this paper to:…”

Section: Introductionmentioning

confidence: 99%

A thermo-mechanically-coupled large-deformation theory for amorphous polymers in a temperature range which spans their glass transition

Srivastava

Chester

Ames

et al. 2010

International Journal of Plasticity

213

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Amorphous thermoplastic polymers are important engineering materials; however, their nonlinear, strongly temperature-and rate-dependent elastic-viscoplastic behavior is still not very well understood, and is modeled by existing constitutive theories with varying degrees of success. There is no generally agreed upon theory to model the large-deformation, thermo-mechanically-coupled, elastic-viscoplastic response of these materials in a temperature range which spans their glass transition temperature. Such a theory is crucial for the development of a numerical capability for the simulation and design of important polymer processing operations, and also for predicting the relationship between processing methods and the subsequent mechanical properties of polymeric products. In this paper we extend our recently published theory , IJP 25, 1474-1494Ames et al., 2009, IJP 25, 1495-1539 to fill this need.We have conducted large strain compression experiments on three representative amorphous polymeric materials -a cyclo-olefin polymer (Zeonex-690R), polycarbonate (PC), and poly(methyl methacrylate) (PMMA) -in a temperature range from room temperature to approximately 50C above the glass transition temperature, ϑ g , of each material, in a strain-rate range of ≈ 10 −4 to 10 −1 s −1 , and compressive true strains exceeding 100%. We have specialized our constitutive theory to capture the major features of the thermomechanical response of the three materials studied experimentally.We have numerically implemented our thermo-mechanically-coupled constitutive theory by writing a usermaterial subroutine for a widely-used finite element program. In order to validate the predictive capabilities of our theory and its numerical implementation, we have performed the following validation experiments: (i) a plane-strain forging of PC at a temperature below ϑ g , and another at a temperature above ϑ g ; (ii) blowforming of thin-walled semi-spherical shapes of PC above ϑ g ; and (iii) microscale hot-embossing of channels in Zeonex and PMMA above ϑ g . By comparing the results from this suite of validation experiments of some key features, such as the experimentally-measured deformed shapes and the load-displacement curves, against corresponding results from numerical simulations, we show that our theory is capable of reasonably accurately reproducing the experimental results obtained in the validation experiments.

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“…the spin) should be apportioned between viscous flow and elastic deformation, have cautiously declined to speculate on this point and their proposed models are incomplete in this respect (Vigny et al 1999;Adams et al 2000;Dooling et al 2002;Makradi et al 2005). …”

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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Hot-drawing of poly(methyl methacrylate) and simulation using a glass–rubber constitutive model

Cited by 64 publications

References 27 publications

Thermally actuated shape-memory polymers: Experiments, theory, and numerical simulations

Thermally actuated shape-memory polymers: Experiments, theory, and numerical simulations

A thermo-mechanically-coupled large-deformation theory for amorphous polymers in a temperature range which spans their glass transition

On the modelling of highly elastic flows of amorphous thermoplastics

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