Constitutive modeling for the elastic-viscoplastic behavior of high density polyethylene under cyclic loading

Qi, Zhengpan; Hu, Ning; Li, Guosong; Zeng, Deliang; Su, Xuming

doi:10.1016/j.ijplas.2018.09.010

Cited by 52 publications

(20 citation statements)

References 123 publications

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“…Strain/stress hysteresis, that is, Lissajous curves of UnN and Nc specimens of HDPE at PA6, are shown in Figure 2(E). As described for HDPE [ 34 ] and PA6 [ 35 ] under cyclic loading, the Lissajous curves are convex (asymmetric), thus match well with the observed I 2/1 intensities.…”

Section: Rheological Characterizationsupporting

confidence: 82%

Fourier transform fatigue analysis of the stress in tension/tension of HDPE and PA6

Hirschberg

Wilhelm

Rodrigue

2020

Polymer Engineering & Sci

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Mechanical fatigue under strain controlled tension/tension (T/T) of rectangular un‐notched and notched specimens of high density polyethylene and polyamide 6 was performed. Under large amplitude oscillatory elongation, the stress response is nonlinear asymmetric due to a different stress response during loading and unloading and was analyzed via discrete Fourier transform. Dynamic strain (ε0) sweep tests revealed odd (I3/1 α ε02) and even (I2/1 α ε01) harmonics in the stress, well described by the Neo‐Hooke's law. Before crack onset for the Nc specimens, the storage and loss moduli and I2/1 are constant, but I3/1 increases with fatigue. The first derivative of I3/1 (dI3/1/dN) and the cumulative nonlinearity Qf parameter (integral of I3/1/ε02) were found to be strong criteria predicting fatigue. To break the unnotched specimens in the low and high cycle fatigue regime, large strain amplitudes were applied, resulting for both materials in initial plastic deformation followed by buckling when a critical compression force is exceeded. This results in a different time evolution of the linear and nonlinear parameters, especially as a minimum in the I2/1 curve. Finally, a model is proposed to describe the nonlinear viscoelastic specimen response under T/T and the effect of buckling.

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Section: Rheological Characterizationsupporting

confidence: 82%

Fourier transform fatigue analysis of the stress in tension/tension of HDPE and PA6

Hirschberg

Wilhelm

Rodrigue

2020

Polymer Engineering & Sci

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“…Despite various applications, the volume of research investigating the effects of loading history and multi-axial ratcheting on service life has remained low to date, Lu et al (2016). The research in this field has concentrated on metallic materials and certain crystalline polymers, as reviewed by Wright et al (2003); Avanzini (2008); Zhu et al 2017; Krenk and Tidemann (2017); Qi et al (2019); Chen et al (2019). Krairi and Doghri (2014) investigated the interaction between multi-axial deformation (combined tension and torsion) and damage on Nylon 101 semi-crystalline polymer when the number of cycles is low.…”

Section: Introductionmentioning

confidence: 99%

“…A hyperelastic-viscoplastic model in Shojaei and Volgers (2018) and a parallel rheological network model (elastic-viscoplastic) in Qi et al (2019) provide capable tools for the investigation of both low-and high-cycle regimes in highly crystalline and semi-crystalline polymers. Considering especially glassy polymers, however, both the viscoelastic and plastic elements are needed to accurately predict the long-term creep/recovery and thus the long-term cyclic deformation behavior (ratcheting and shape/area of the loops).…”

Section: Introductionmentioning

confidence: 99%

Testing and analysis of solid polymers under large monotonic and long-term cyclic deformation

Barrière

Gabrion

Holopainen

et al. 2020

International Journal of Plasticity

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The deformation behavior of solid polymers under isothermal, quasi-static loadings is investigated. A comprehensive test program consisting of tension, torsion, and combinations thereof was conducted on a polycarbonate polymer under both monotonic and long-term cyclic loadings. The effects of different loading modes, creep load conditions, mean stress, stress amplitude, and loading rate are addressed. The possibility of simulating costly tests with existing models is also demonstrated. A viscoelastic-viscoplastic constitutive model proposed by Barriere et al. 2019 is applied for this purpose. Compared to state-of-the-art models, this model requires a reduced set of material parameters to be defined. The validation experiments demonstrate the model robustly predicts various loading scenarios. In light of both the experimental and model results, the material shows an apparent hardening with increasing loading rates, and the ratcheting strain increases with the stress amplitude and mean stress. When applying the same stress ratio, stress rate, and maximum axial and torsional stresses relative to the strengths, the superimposed tension increased the torsional ratcheting for all

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“…A recent research that is focused on the ratcheting and fatigue behaviors under cyclic loading processes (group 4) can be found from Krairi and Doghri (2014); Jiang et al (2015); Beesley et al (2017); Kang and Kan (2017); Shojaei and Volgers (2018); Holopainen and Barriere (2018); Qi et al (2019), i.e. work on the cyclic deformation behavior of amorphous polymers is very limited.…”

Section: Introductionmentioning

confidence: 99%

“…Beesley et al (2017) introduces an elastic-plastic model to simulate the low-cycle fatigue of notched specimens made of a nickel based alloy. A hyperelastic-viscoplastic model in Shojaei and Volgers (2018) and a parallel rheological network model (elastic-viscoplastic) in Qi et al (2019) provide capable tools for the investigation of both low and high cycle regimes of a highly-crystalline and semicrystalline polymers, respectively. Considering glassy polymers, however, both the viscoelastic and plastic elements are needed to accurately predict long-term creep/recovery and thereby the cyclic deformation behavior (ratcheting and shape/area of the loops), Anand and Ames (2006); Krairi and Doghri (2014); Jiang et al (2015).…”

Section: Introductionmentioning

confidence: 99%

A compact constitutive model to describe the viscoelastic-plastic behaviour of glassy polymers: Comparison with monotonic and cyclic experiments and state-of-the-art models

Barrière¹,

Gabrion²,

Holopainen³

2019

International Journal of Plasticity

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A number of constitutive models have been developed for solid polymers to describe the large deformation behavior. However, most of the existing models rely on a purely elastic or hyperelastic initial response when they are incapable of accurately predicting the cyclic stress-strain hysteresis loops. In this work, therefore, a compact cyclic viscoelastic-viscoplastic constitutive model is proposed to improve the prediction of the loops below the peak yield stress. The proposed approach is based on the distinguished model by Haward and Thackray (1968) for glassy polymers, which is augmented by a few thermodynamically motivated internal state variables able to predict the missing viscous deformation behavior, including the nonlinear cyclic hardening in three dimensions. Based on the comprehensive uniaxial tension experiments, it is demonstrated that this compact formulation, along with a calibration scheme, enables accurate prediction of the shape of the hysteresis loops, as well as the representation of ratcheting behavior. A comparison is also made with state-of-the-art models that are capable of predicting the cyclic stress-strain hysteresis loops.

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Constitutive modeling for the elastic-viscoplastic behavior of high density polyethylene under cyclic loading

Cited by 52 publications

References 123 publications

Fourier transform fatigue analysis of the stress in tension/tension of HDPE and PA6

Fourier transform fatigue analysis of the stress in tension/tension of HDPE and PA6

Testing and analysis of solid polymers under large monotonic and long-term cyclic deformation

A compact constitutive model to describe the viscoelastic-plastic behaviour of glassy polymers: Comparison with monotonic and cyclic experiments and state-of-the-art models

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