Predictions of two nonlinear viscoelastic constitutive relations for polymers under multiaxial loadings

Ellyin, F.; Vaziri, Reza; Bigot, Laurent

doi:10.1002/pen.20731

Cited by 12 publications

(7 citation statements)

References 25 publications

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“…For monotonic and first reversal response, Colak and Dusunceli [7], Colak [8], Bergstrom and Boyce [10], Amida et al [22], Drozdov [34], and Ellyin et al [35] showed good simulations. For subsequent cyclic responses, simulation studies in the literature are extremely limited [5,6].…”

Section: Introductionmentioning

confidence: 92%

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Uniaxial Strain and Stress-Controlled Cyclic Responses of Ultrahigh Molecular Weight Polyethylene: Experiments and Model Simulations

Hassan

Çolak

Clayton

2011

Journal of Engineering Materials and Technology

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Thermoplastics such as uitrahigh molecular weight polyethylene (UHMWPE) are used for a wide variety of applications, such as bearing material in total replacement of knee and hip components, seals, gears, and unlubricated bearing. Accurate prediction of stresses and deformations of UHMWPE components under service conditions is essential for the design and analysis of these components. This, in turn, requires a cyclic, viscoplastic constitutive model that can simulate cyclic responses of UHMWPE under a wide variety of uniaxial and multiaxial, strain, and stress-controlled cyclic loading. Such a constitutive model validated against a broad set of experimental responses is not available mainly because of the lack of experimental data of UHMWPE. Toward achieving such a model, this study conducted a systematic set of uniaxial e.xperiments on UHMWPE thin-walled, tubular specimens by prescribing strain and stress-controlled cyclic loading. The tubular specimen was designed so that both uniaxial and biaxial experiments can be conducted using one type of specimen. The experimental responses developed are presented for demonstrating the cyclic and ratcheting responses of UHMWPE under uniaxial loading. The responses also are scrutinized for determining the applicability of the thin-walled, tubular specimen in conducting large strain cyclic experiments. A unified state variable theory, the viscoplasticity theory based on overstress for polymers (VBOP) is implemented to simulate the recorded uniaxial responses of UHMWPE. The state of the VBOP model simulation is discussed and model improvements needed are suggested.

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Section: Introductionmentioning

confidence: 92%

“…They have not simulated the subsequent cyclic responses of the polymeric material. Model development study for cyclic responses of UHMWPE is extremely limited [5,6,35]. Hence, this paper evaluates the VBOP model against simulating both the strain and stress-controlled cyclic responses.…”

Section: Simulation Of Uhmwpe Cyclic Responses By the Vbop Modelmentioning

confidence: 99%

Uniaxial Strain and Stress-Controlled Cyclic Responses of Ultrahigh Molecular Weight Polyethylene: Experiments and Model Simulations

Hassan

Çolak

Clayton

2011

Journal of Engineering Materials and Technology

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“…For example, Galante used the constitutive equation to describe viscoelastic effects in an integral equation of the K-BKZ type, suitable for polymer solutions and melts [40]. The problem with the constitutive equation of K-BKZ is that it is not fully applicable to predicting the nonlinear rheological behavior of viscoelastic materials [39]- [41].…”

Section: Rheological Modelling Of Viscoelastic Compositesmentioning

confidence: 99%

Review of Non-Newtonian Mathematical Models for Rheological Characteristics of Viscoelastic Composites

Cherizol¹,

Sain²,

Tjong³

2015

GSC

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This study presents an overview of viscoelastic characteristics of biocomposites derived of natural-fibre-reinforced thermoplastic polymers and predictive models have been presented in order to understand their rheological behavior. Various constitutive equations are reviewed for a better understanding of their applicability to polymer melt in determining the viscosity. The models to be investigated are the Giesekus-Leonov model, the Upper Convected Maxwell (UCM) model, the White-Metzner model, K-BKZ model, the Oldroyd-B model, and the Phan-Thien-Tanner models. The aforementioned models are the most powerful for predicting the rheological behavior of hybrid and green viscoelastic materials in the presence of high shear rate and in all dimensions. The Phan-Thien Tanner model, the Oldroyd-B model, and the Giesekus model can be used in various modes to fit the relaxation modulus accurately and to predict the shear thinning as well as shear thickening characteristics. The Phan-Thien Tanner, K-BKZ, Upper convected Maxwell, Oldroyd-B, and Giesekus models predicted the steady shear viscosity and the transient first normal stress coefficient better than the White-Metzner model for green-fibre-reinforced thermoplastic composites.

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“…Even in actual publications the model is frequently used to describe the material behavior of polymers (e.g. 8–11).…”

Section: Materials Modelmentioning

confidence: 99%

Simulation of the Long Term Behaviour of Plastics Components

Stommel

Naumann

2012

Macromolecular Symposia

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Summary: This paper presents a method to model the mechanical behavior of polymers over a wide time‐ and load‐range by means of finite element analyses. The method includes a material model as well as the determination of material parameters to calibrate the material model. As a special feature of this method the model is calibrated only by using creep data that are commonly available in material data bases. So the procedure improves the simulation of the long time behavior of plastic‐components without an additional experimental effort. In combination with time‐temperature‐superposition principle, the temperature dependency of the long term behavior is represented, too. The simulation results are validated by creep experiments on an example part.

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Predictions of two nonlinear viscoelastic constitutive relations for polymers under multiaxial loadings

Cited by 12 publications

References 25 publications

Uniaxial Strain and Stress-Controlled Cyclic Responses of Ultrahigh Molecular Weight Polyethylene: Experiments and Model Simulations

Uniaxial Strain and Stress-Controlled Cyclic Responses of Ultrahigh Molecular Weight Polyethylene: Experiments and Model Simulations

Review of Non-Newtonian Mathematical Models for Rheological Characteristics of Viscoelastic Composites

Simulation of the Long Term Behaviour of Plastics Components

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