A new three-phase model to estimate the effective elastic properties of semi-crystalline polymers: Application to PET

Gueguen, Olivier; Ahzi, Saı̈d; Makradi, A.; Belouettar, Salim

doi:10.1016/j.mechmat.2009.04.012

Cited by 62 publications

(31 citation statements)

References 32 publications

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“…An incompressible, inhomogeneous, transient, non-affine network of polymer chains bridged by junctions is chosen as the equivalent continuum. For more sophisticated multiphase models developed by using homogenization techniques to account for interaction between the amorphous and crystalline phases, as well as between the polymer matrix and reinforcement, the reader is referred to Gueguen et al (2008Gueguen et al ( , 2010, Regrain et al (2009), Li et al (2011), Tsukamoto (2011, to mention a few.…”

Section: Constitutive Modelmentioning

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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Section: Constitutive Modelmentioning

confidence: 99%

Cyclic viscoelastoplasticity and low-cycle fatigue of polymer composites

Drozdov

2011

International Journal of Solids and Structures

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“…Some authors used the mean field mechanical approach to obtain the effective properties of polymer through homogenization to mention few. Referring to a study by Arnoult et al and Guegen et al, they proposed a three‐phase model to estimate the effective properties of PET. The model consisted of an ellipsoidal inclusion consisting of three domains (crystalline lamella, rigid amorphous phase or interphase region, and mobile amorphous phase) embedded in a reference homogeneous medium.…”

Section: Introductionmentioning

confidence: 99%

Modeling of time dependent mechanical behavior of polymers: Comparison between amorphous and semicrystalline polyethylene terephthalate

Gehring

Bouvard

Billon

2016

J of Applied Polymer Sci

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International audienceRevisited network theory to account for inelasticity1,2 was used to model behavior of amorphous and semicrystalline PET. Semicrystalline materials were obtained through cold crystallization of the amorphous one making the crystalline microstructure the only difference. The model considers microstructure at a mesoscopic level through the description of an equivalent network evolving with internal state variables. Inelastic phenomena are assumed to result from the evolution of entanglements and of density of weak bond between adjacent chains (van der Walls or H-bond, etc.). The experiment data base included nonmonotonic tensile test coupled with synchronized digital image correlation and infrared measurement device for capturing the time and temperature dependence of the material. Model show a pretty good ability to reproduce time dependent behavior of the two materials. Analysis of the parameters also shows a coherent evolution with the microstructure though this latter is not explicitly accounted for in the model. Further study will make relationship between microstructure and parameters cleare

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“…Additionally, they chose an average interphase bulk modulus, κ ip , of 5000 MPa, which is an intermediate value between the crystalline and the amorphous bulk moduli, and left the average interphase shear modulus, G ip , as the fitting parameter. In a similar study on the three‐phase micromechanical modeling of PET, Gueguen et al took the associated interphase stiffness to be 1.6 times that of the amorphous phase, that is C ip = 1.6 C am . They assert that by this specific selection, some “best fit” is observed, which indicates that they have treated the coefficient as a fitting parameter.…”

Section: Introductionmentioning

confidence: 99%

Micromechanical characterization of the interphase layer in semi‐crystalline polyethylene

Ghazavizadeh

Rutledge

Atai

et al. 2013

J Polym Sci B Polym Phys

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Semi-crystalline polyethylene is composed of three domains: crystalline lamellae, the compliant amorphous phase, and the so-called "interphase" layer separating them. Among these three constituents, little is known about the mechanical properties of the interphase layer. This lack of knowledge is chiefly due to its mechanical instability as well as its nanometric thickness impeding any property measuring experiments. In this study, the Monte Carlo molecular simulation results for the interlamellar domain (i.e. amorphous+ interphases), reported in (in 't Veld et al. 2006) are employed. The amorphous elastic properties are adopted from the literature and then two distinct micromechanical homogenization approaches are utilized to dissociate the interphase stiffness from that of the interlamellar region. The results of the two approaches match perfectly, which validates the implemented dissociation methodology. Moreover, a hybrid numerical technique is proposed for one of the approaches when the recursive method poses numerical divergence problems. Interestingly, it is found that the dissociated interphase stiffness lacks the common feature of positive definiteness, which is attributed to its nature as a transitional domain between two coexisting phases. The sensitivity analyses carried out reveal that this property is insensitive to the non-orthotropic components of the interlamellar stiffness as well as the uncertainties existing in the interlamellar and amorphous stiffnesses. Finally, using the dissociated interphase stiffness, its effective Young's modulus is calculated. The evaluated Young's modulus compares well with the effective interlamellar Young's modulus for highly crystalline polyethylene, reported in an experimental study. This satisfactory agreement along with the identical results produced by the two micromechanical approaches confirms the validity of the new information about the interphase elastic properties in addition to making the proposed dissociation methodology quite reliable to be applied to similar problems.

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A new three-phase model to estimate the effective elastic properties of semi-crystalline polymers: Application to PET

Cited by 62 publications

References 32 publications

Cyclic viscoelastoplasticity and low-cycle fatigue of polymer composites

Cyclic viscoelastoplasticity and low-cycle fatigue of polymer composites

Modeling of time dependent mechanical behavior of polymers: Comparison between amorphous and semicrystalline polyethylene terephthalate

Micromechanical characterization of the interphase layer in semi‐crystalline polyethylene

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