Multi-mechanism modeling of amorphous polymers

Jeridi, M.; Chouchene, Houda; Kéryvin, Vincent; Saï, Kacem

doi:10.1016/j.mechrescom.2014.01.003

Cited by 8 publications

(6 citation statements)

References 30 publications

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“…These behaviors may be linked to different strain or stress ranges, different temperatures, etc. It is possible to completely rebuild the model by considering three mechanisms similarly to our previous work (Jeridi et al., 2014) on glassy polymers.…”

Section: Resultsmentioning

confidence: 99%

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Anisotropic (Continuum Damage Mechanics)-based multi-mechanism model for semi-crystalline polymer

Ayadi

Laiarinandrasana

Saï

2016

International Journal of Damage Mechanics

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In this work, the anisotropic damage of semi-crystalline polymers is investigated. The model, developed within a thermodynamic framework, includes the following features: (i) the degree of crystallinity; (ii) the hydrostatic pressure effect; and (iii) the damage anisotropy. The adopted tensorial damage variable is based on the Continuum Damage Mechanics approach under the energy equivalence assumption. For the quantification of the anisotropy, a parameter called “shape factor” is defined as the ratio between the void mean diameter and the void mean height. This parameter is linked to the main axial and the main radial damage components. Experimental data taken from the recent literature using the tomography technique were selected to assess the model capability. Finite element simulations of notched round bar specimens subjected to tensile test stopped at three key loading stages are systematically compared with experimental data. The proposed model was able not only to accurately simulate the macroscopic response of the material, but more interestingly, to reproduce the spatial distribution of the shape factor. This demonstrates the anisotropy effects of the material under study induced at different stages of the deformation.

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Section: Resultsmentioning

confidence: 99%

“…(2013) and Jeridi et al. (2014, 2015). The previous localization rule reduces the number of material coefficients but does not take into account the local heterogeneities of the SCP.…”

Section: The Proposed New 2m1c Formulationmentioning

confidence: 96%

Anisotropic (Continuum Damage Mechanics)-based multi-mechanism model for semi-crystalline polymer

Ayadi

Laiarinandrasana

Saï

2016

International Journal of Damage Mechanics

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“…As is known, the yielding behavior of polymers such as PP, polyethylene, nylon and polymer nanocomposites exhibit evident hydrostatic pressure dependence and strain rate sensitivity under external loading [ 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 ]. Nonetheless, the experiments on different types of polymers have revealed the impotence of both the von Mises and Tresca yield criteria in explaining observed yielding behavior.…”

Section: Introductionmentioning

confidence: 99%

Experimental Study of Yield Surface in Polypropylene Considering Rate Effect: Stress Path Dependence

Zheng

Zhi-ping

et al. 2022

Polymers

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In order to investigate the yield surface evolution of polypropylene (PP) under dynamic impact and the relationship between yield surface parameters and the strain rate, five shear-compression specimens (SCSs) with different inclination angles are designed and produced to explore the yield behavior of PP under dynamic loading. Dynamic combined stress loading paths with different compression-shear ratios are achieved by the split Hopkinson pressure bar (SHPB). The evolution laws of the compressive stress and shear stress in the measurement region during the PP SCS compressive deformation process are analyzed. In terms of mechanical response, PP under combined compression-shear loading is of visco-elasticity plasticity and its deformation undergoes a three-stage transition, namely “unyield→yield→failure”. The yield characteristics of PP are found to be affected not only by the hydrostatic pressure but also by the stress path. According to the Hu–Pae yield criterion, the dynamic yield surface and model parameters of PP are obtained, and the relationship between the yield surface and the strain rate is ascertained. These findings contribute to deepening the research on the mechanical response characteristics of PP-based materials.

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“…Incorporating this model, Anand et al (2009) and Ames et al (2009) adopted the thermodynamics-based approach made by Anand and Gurtin (2003) to formulate a thermo-mechanically coupled constitutive model for glassy amorphous polymers. Their model can be regarded as a model based on the multi-mechanism theory (Jeridi et al (2014)), in which separate rheology models representing specific mechanical behaviors are enlinked. Srivastava et al (2010) subsequently extended this model to represent both glassy and rubbery states and succeeded to reproduce various material responses during loading and unloading processes in wide ranges of temperature and strain rate.…”

Section: Introductionmentioning

confidence: 99%

Viscoelastic-viscoplastic combined constitutive model for glassy amorphous polymers under loading/unloading/no-load states

Matsubara

Terada

Maeda³

et al. 2020

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Purpose This study aims to propose a novel viscoelastic–viscoplastic combined constitutive model for glassy amorphous polymers within the framework of thermodynamics at finite strain that is capable of capturing their rate-dependent inelastic mechanical behavior in wide ranges of deformation rate and amount. Design/methodology/approach The rheology model whose viscoelastic and viscoplastic elements are connected in series is set in accordance with the multi-mechanism theory. Then, the constitutive functions are formulated on the basis of the multiplicative decomposition of the deformation gradient implicated by the rheology model within the framework of thermodynamics. Dynamic mechanical analysis (DMA) and loading/unloading/no-load tests for polycarbonate (PC) are conducted to identify the material parameters and demonstrate the capability of the proposed model. Findings The performance was validated in comparison with the series of the test results with different rates and amounts of deformation before unloading together. It has been confirmed that the proposed model can accommodate various material behaviors empirically observed, such as rate-dependent elasticity, elastic hysteresis, strain softening, orientation hardening and strain recovery. Originality/value This paper presents a novel rheological constitutive model in which the viscoelastic element connected in series with the viscoplastic one exclusively represents the elastic behavior, and each material response is formulated according to the multiplicatively decomposed deformation gradients. In particular, the yield strength followed by the isotropic hardening reflects the relaxation characteristics in the viscoelastic constitutive functions so that the glass transition temperature could be variant within the wide range of deformation rate. Consequently, the model enables us to properly represent the loading process up to large deformation regime followed by unloading and no-load processes.

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Multi-mechanism modeling of amorphous polymers

Cited by 8 publications

References 30 publications

Anisotropic (Continuum Damage Mechanics)-based multi-mechanism model for semi-crystalline polymer

Anisotropic (Continuum Damage Mechanics)-based multi-mechanism model for semi-crystalline polymer

Experimental Study of Yield Surface in Polypropylene Considering Rate Effect: Stress Path Dependence

Viscoelastic-viscoplastic combined constitutive model for glassy amorphous polymers under loading/unloading/no-load states

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