Effects of crystal content on the mechanical behaviour of polyethylene under finite strains: Experiments and constitutive modelling

Ayoub, Georges; Zaïri, Fahmi; Fréderix, C.; Gloaguen, Jean‐Michel; Naït-Abdelaziz, Moussa; Séguéla, Roland; Lefebvre, Jean‐Marc

doi:10.1016/j.ijplas.2010.07.005

Cited by 117 publications

(67 citation statements)

References 54 publications

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“…Previous work proposed constitutive models combining linear and non-linear springs with dashpots enhanced by specific evolution equations to predict the non-linear viscoelastic response of polymers (Chaboche (1997), Moreau et al (2005), Khan et al (2006), Ayoub et al (2010Ayoub et al ( , 2011, Zaïri et al (2011), among others). Other constitutive models were proposed to capture the elastic-viscoplastic deformation behavior of solid polymers.…”

Section: Introductionmentioning

confidence: 99%

“…We can also refer to the previously cited VBO model that was extended to SCP by incorporating information regarding the degree of crystallinity (Dusunceli and Colak (2008)). Other approaches were based on the use of rheological models (spring-dashpots) to capture the complex mechanical behavior of SCP (Lee et al, 1993a,b;Boyce et al, 2000;van Dommelen et al, 2003;Ahzi et al, 2003;Makradi et al, 2005;Khan et al, 2006;Ayoub et al, 2010;Ayoub et al, 2011). Recently, micro-mechanical model using either analytical or either FE-based homogenization scheme were also proposed (Lee et al, 1993a;Nikolov and Doghri, 2000;Nikolov et al, 2002;Bédoui et al, 2006;Gueguen et al, 2008;Li and Shojaei, 2012;Uchida and Tada, 2013;Shojaei and Li, 2013).…”

Section: Introductionmentioning

confidence: 99%

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A thermo-mechanical large deformation constitutive model for polymers based on material network description: Application to a semi-crystalline polyamide 66

Maurel-Pantel

Baquet

Bikard

et al. 2015

International Journal of Plasticity

100

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International audienceA visco-hyperelastic constitutive model, based on an original approach initially developed by (Billon, 2012) and applied to amorphous rubbery polymers for a one-dimensional formalism, was extended in this study to three-dimensional constitutive equations based on a thermodynamic framework. The model was applied to a semi-crystalline polyamide polymer, PA66. The experiments included tension and shear testing coupled with synchronized digital image correlation and infrared measurements device for capturing the time, temperature, and stress state dependence, as well as the complex thermomechanical coupling exhibited by the material under large deformation. A notion of equivalent strain rate (based on the time–temperature principle superposition) was also introduced to show its capability to build master curves and therefore decrease the number of testing needed to build a material database. The model is based on the Edward Vilgis theory (1986) and accounts for chains network reorganization under external loading through the introduction of an evolution equation for the internal state variable η, representing the degree of mobility of entanglement points. The model accounting for the equivalent strain rate notion was calibrated using master curves. The thermomechanical model agreed well with the experimental mechanical and temperature measurements under tension and shear conditions. The approach developed in this study may open a different way to model the polymer behavior

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A thermo-mechanical large deformation constitutive model for polymers based on material network description: Application to a semi-crystalline polyamide 66

Maurel-Pantel

Baquet

Bikard

et al. 2015

International Journal of Plasticity

100

View full text Add to dashboard Cite

show abstract

“…Other studies were devoted to the modeling of the viscoplastic behavior of polyamide 66 (Krempl et al, 1984;Krempl and Ho, 2000). To take the multiaxial stress-state under visco-elasticity and/or visco-plasticity constitutive models were recently developed by Van Domellen et al (2003) under monotonic loading, by Drozdov (2010) and Ayoub et al (2010Ayoub et al ( , 2011 under strain reversal loading and by Ben Hadj Hamouda et al (2007) and Regrain et al (2009) for creep loading. These models generally take the degree of crystallinity into account but not the volume change.…”

Section: Introductionmentioning

confidence: 99%

Experimental investigations and modeling of volume change induced by void growth in polyamide 11

Boisot

Laiarinandrasana

Besson

et al. 2011

International Journal of Solids and Structures

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International audiencePolymers are known to be sensitive to hydrostatic pressure. The influence of stress triaxiality ratio on cavitation and damage has been highlighted in numerous studies. This paper proposes experimental investigations allowing the control of both the stress triaxiality ratio and the void distribution via microscopic observations of microtome-cut surfaces from interrupted tests. With the help of a finite element code, the Gurson-Tvergaard-Needleman model was calibrated by using these multi-scale experimental data. Then comparison between both numerical and analytical models and experimental data was performed. Bridgman formulae were reported to be valid up to the peak load. Moreover, a better understanding of the time evolution of significant parameters such as the porosity (volume change) and the stress triaxiality ratio (hydrostatic pressure), was highlighted

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“…In the past decade, experimental and theoretical analysis of the time-and rate-dependent responses of polyethylene under cyclic loading has attracted substantial attention (Meyer and Pruitt, 2001;Bergstrom et al, 2004;Van Dommelen et al, 2003;Hong et al, 2004;Mrabet et al, 2005;Dusunceli and Colak, 2006;Dusunceli and Colak, 2008;Drozdov and Christiansen, 2007;Avanzini, 2008;Avanzini, 2011;Drozdov, 2010;Ayoub et al, 2010;Ayoub et al, 2011;Hizoum et al, 2011;Hassan et al, 2011). Majority of previous studies focused on the mechanical responses in uniaxial cyclic tests with stress-controlled (oscillations between fixed maximum and minimum stresses) and mixed (oscillations between fixed maximum strain and minimum stress) programs.…”

Section: Introductionmentioning

confidence: 99%

Cyclic viscoplasticity of semicrystalline polymers with finite deformations

Drozdov

Klitkou

Christiansen

2013

Mechanics of Materials

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Effects of crystal content on the mechanical behaviour of polyethylene under finite strains: Experiments and constitutive modelling

Cited by 117 publications

References 54 publications

A thermo-mechanical large deformation constitutive model for polymers based on material network description: Application to a semi-crystalline polyamide 66

A thermo-mechanical large deformation constitutive model for polymers based on material network description: Application to a semi-crystalline polyamide 66

Experimental investigations and modeling of volume change induced by void growth in polyamide 11

Cyclic viscoplasticity of semicrystalline polymers with finite deformations

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