Constitutive equations for the nonlinear viscoelastic and viscoplastic behavior of thermoplastic elastomers

Drozdov, Aleksey D.; Christiansen, Jesper de Claville

doi:10.1016/j.ijengsci.2005.12.002

Cited by 25 publications

(11 citation statements)

References 29 publications

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“…Many authors developed visco-elasto-plastic models (Frank and Brockman, 2001;Lubarda et al, 2003;Lin and Schomburg, 2003;Drozdov and Christiansen, 2006) and some of them have adopted the stress superimposition principle, like Miehe and Keck (2000) and Mulliken and Boyce (2006) in the case of rubbery and glassy polymers. Our approach will be described by Section 3.1 in a one-dimensional case.…”

Section: Theoretical Pattern To Analyse the Experimental Resultsmentioning

confidence: 99%

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Experimental study of the cyclic visco-elasto-plastic behaviour of a polyamide fibre strap

Blès¹,

Nowacki²,

Tourabi³

2009

International Journal of Solids and Structures

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a b s t r a c tExperimental tensile tests were performed on polyamide-based (PA66) woven strap samples. A strain measuring device was used to measure the strain in the middle and effective part of the woven tensile sample. The tests were performed, on the one hand under monotonous tension at different strain rates and on the other hand under sophisticated cyclic loading histories, including relaxation and creep sequences. The analysis of experimental results was made through a visco-elasto-hysteresis model, based on the superimposition of three stress components. The proposed method allows for characterizing the steady state viscous stress as a function of strain and strain rate, the time-independent irreversible behaviour and the instantaneous modulus increasing with the strain. Based on the visco-elasto-hysteresis model, an analysis enabled us to understand and predict the change in relaxation and creep orientations during complex loading histories.

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Section: Theoretical Pattern To Analyse the Experimental Resultsmentioning

confidence: 99%

“…16 and illustrated by a dashed circle. This relaxation stress evolution presents the typical shape of most relaxations whatever their location in the loading branch and the strain rate just before they occurred (Miehe and Göktepe, 2005;Drozdov and Christiansen, 2006;Khan et al, 2006).…”

Section: Cyclic Tensile Tests Interrupted By Creep Periodsmentioning

confidence: 94%

Experimental study of the cyclic visco-elasto-plastic behaviour of a polyamide fibre strap

Blès¹,

Nowacki²,

Tourabi³

2009

International Journal of Solids and Structures

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“…A transient network under small deformations is well studied theoretically, from either a microscopic [20,21,22,23,24] or a macroscopic viewpoint [25,26], where the crosslinks are dynamically broken and reformed all the time. Such theories are valid when the material undergoes a sufficiently small deformation, so the constituting chains remain Gaussian, but cannot be accurate for large deformations when the network chains may be stretched significantly past the Gaussian limit (exploring their finite extensibility).…”

Section: Introductionmentioning

confidence: 99%

Transient Network at Large Deformations: Elastic–Plastic Transition and Necking Instability

Meng

Terentjev

2016

Polymers

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Abstract:We theoretically investigate the mechanical response of a transient network, which is characterised by dynamically breaking and re-forming crosslinks, and accounts for the finite chain extensibility (thus permitting the large deformations to be described). We build the general theory that incorporates the widely accepted empirical model of hyper-elasticity at large deformations (the Gent model) and naturally includes the microscopic behavior of transient crosslinks under the local tension applied to them. The full analytical expression for the elastic energy, or equivalently, the constitutive relation for arbitrary deformation is derived, and then the example of uniaxial tensile strain is focused on. In this case, we show that the mechanical response depends on the ratio of the imposed strain rate and the breakage rate of the crosslink: the system flows plastically (over a yield point) when the strain rate is much smaller than the breakage rate, while it remains elastic when the strain rate is much larger than the breakage rate. There is a broad range of this transition when the elastic and plastic regions of the sample coexist, and a resulting necking instability occurs. As a generalisation, we also consider a dual transient network, with two components penetrating each other, each having its own microscopic crosslink dynamics. The two networks add their local forces and share the deformation; we find that the network with a lower breakage rate determines the global deformation of the system.

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“…Examples include the work of Zhang and Moore [50,51] and Drozdov et al [26,25,22,24]. The finite element programs developed for simulating viscoelastic or viscoplastic analysis use formulations similar to those of the incremental theory of plasticity, in which the total strain rate is separable into elastic and inelastic components [35,52,34].…”

Section: Micro-and Macro-scale Modelingmentioning

confidence: 99%

Modeling Material Behavior of Polymers

Polak

Sepiani

Penlidis

2016

Computational Modeling, Optimization and Manufacturing Simulation of Advanced Engineering Materials

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Polymers are widely used in the automotive, aerospace and computer industries, building trades and many other applications. Many researchers have worked on the investigation and analysis of polymers' properties and behavior. The present chapter is devoted to polymer material research including testing and modeling. First, an introductory discussion on types of polymers and their tensile and compressive behavior and mechanical properties is provided. Experimental results show a high degree of nonlinearity in polyethylene behavior, which requires modeling based on coupled non-separable formulation. Representations of viscoelastic and viscoplastic models for linear and nonlinear behaviors are presented based on differential formulation. Finally, comparisons are made between the test data and the presented theory for the loading cases of short term, long term and step loadings.

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Constitutive equations for the nonlinear viscoelastic and viscoplastic behavior of thermoplastic elastomers

Cited by 25 publications

References 29 publications

Experimental study of the cyclic visco-elasto-plastic behaviour of a polyamide fibre strap

Experimental study of the cyclic visco-elasto-plastic behaviour of a polyamide fibre strap

Transient Network at Large Deformations: Elastic–Plastic Transition and Necking Instability

Modeling Material Behavior of Polymers

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