Phenomenological formulation of viscoplastic constitutive equation for polyethylene by taking into account strain recovery during unloading

Mizuno, Mamoru; Sanomura, Yukio

doi:10.1007/s00707-008-0111-x

Cited by 17 publications

(16 citation statements)

References 18 publications

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“…In models belonging to the first group, a homogenization method is applied that allows a semicrystalline polymer with a complicated micro-structure to be replaced with an equivalent one-phase continuum (Bergstrom et al, 2002;Khan and Krempl, 2006;Christiansen, 2007a,b, 2008;Yakimets et al, 2007;Mizuno and Sanomura, 2009;Sweeney et al, 2009). As the number of adjustable parameters necessary to describe the mechanical behavior of a one-phase medium is relatively small, these parameters can be found with high accuracy by matching observations in conventional tests.…”

Section: Introductionmentioning

confidence: 93%

Cyclic thermo-viscoplasticity of high density polyethylene

Drozdov

2010

International Journal of Solids and Structures

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a b s t r a c tObservations are reported in uniaxial cyclic tensile tests (loading-unloading with various maximum strains) on high density polyethylene at temperatures ranging from room temperature up to 90°C. It is demonstrated that the maximum stress per cycle and an apparent residual strain (measured at the instant when the tensile force vanishes under retraction) strongly decrease with temperature. The latter seems unexpected as the interval of temperatures covers the a-relaxation temperature, which is conventionally associated with activation of additional mechanisms for inelastic flow. A model is developed that captures the decrease in residual strain with temperature. Adjustable parameters in the stress-strain relations are found by fitting the experimental data. The effects of temperature and maximum strain per cycle on residual strains are studied numerically.

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Section: Introductionmentioning

confidence: 93%

Cyclic thermo-viscoplasticity of high density polyethylene

Drozdov

2010

International Journal of Solids and Structures

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“…Semicrystalline polymers are often considered as structureless homogeneous continuum with different phenomenological assumptions on the mechanisms and kinetics of plastic deformation [98][99][100][101][102][103][104][105][106][107]. However, structural properties are treated implicitly in this approach.…”

Section: Modeling Of Small-strain Deformation Behavior Of Semicrystalmentioning

confidence: 99%

Structural mechanics of semicrystalline polymers prior to the yield point: a review

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Rémond

2012

J Mater Sci

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The review focuses on the current studies of the deformation response and accompanying structural transformations of thermoplastic semicrystalline polymers subjected to uniaxial tension prior to the yield point. The mechanisms of strain-induced cavitation of amorphous layers and damages of crystalline lamellae are analyzed in line with novel results on the deformation behavior of solid polymers at temperatures exceeding the glass transition point. The coupling of viscoelastic and plastic deformation mechanisms with the small-strain structural transformations is critically discussed on the basis of the advanced theoretical modeling of mechanical properties of semicrystalline polymers.

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“…In the past 5 years, a number of studies have focused on experimental and theoretical analysis of the time-dependent response of polymers and polymer composites subjected to cyclic loading: Xia et al (2005), Hizoum et al (2006), Drozdov and Christiansen (2007), Yakimets et al (2007), Sullivan (2008), Bles et al (2009), Cantournet et al (2009), Drozdov (2009, Mizuno andSanomura (2009), Spieckermann et al (2009), Zrida et al (2009), Ayoub et al (2010), Bouchart et al (2010), Buckley et al (2010), Drozdov (2010a), Ramkumar et al (2010), Silberstein and Boyce (2010) and Vandenbroucke et al (2010). Constitutive equations developed in those works were confined, however, to the description of observations along the first cycle (loading-unloading) of a cyclic deformation program.…”

Section: Introductionmentioning

confidence: 99%

Cyclic viscoelastoplasticity and low-cycle fatigue of polymer composites

Drozdov

2011

International Journal of Solids and Structures

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a b s t r a c tObservations are reported on a polymer composite (polyamide-6 reinforced with short glass fibers) in tensile relaxation tests with various strains, tensile creep tests with various stresses, and cyclic tests with a stress-controlled program (ratcheting with a fixed maximum stress and various minimum stresses). Constitutive equations are developed in cyclic viscoelastoplasticity of polymer composites. Adjustable parameters in the stress-strain relations are found by fitting observations in relaxation tests and cyclic tests (16 cycles of loading-unloading). It is demonstrated that the model correctly predicts experimental data in creep tests and dependencies of maximum and minimum strains per cycle on number of cycles up to fatigue fracture of specimens. The influence of strain rate and minimum stress on number of cycles to failure is studied numerically.

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Phenomenological formulation of viscoplastic constitutive equation for polyethylene by taking into account strain recovery during unloading

Cited by 17 publications

References 18 publications

Cyclic thermo-viscoplasticity of high density polyethylene

Cyclic thermo-viscoplasticity of high density polyethylene

Structural mechanics of semicrystalline polymers prior to the yield point: a review

Cyclic viscoelastoplasticity and low-cycle fatigue of polymer composites

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