Top

Meccanica

Published in:

09-12-2016

A 3-phase model for the numerical analysis of semi-crystalline polymer films in finite elastoplastic strains

Authors: Philippe Le Grognec, Salim Chaki, Fanfei Zeng, Mélanie Nottez

Published in: Meccanica | Issue 10/2017

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

In this paper, the mechanical behavior of semi-crystalline polymer films in finite elastoplastic strains is investigated. A 3-phase constitutive model has been specially developed in a previous paper and validated for various materials in both uniaxial and biaxial uniform hot drawing. In the present study, the numerical implementation of this 3-phase model in a finite element software is outlined in the perspective of using this model in more general non-uniform cases of complex geometries and/or loadings. In the present case, only polyethylene films at room temperature are considered. First, uniaxial tensile experimental tests are performed so as to calibrate the model parameters. Then, for validation purposes, two series of experimental tests are conducted on tensile specimens with central holes and double edge notched tensile (DENT) specimens. During these tests, digital image correlation is used to analyze the strain (or displacement) field history during loading. Finally, numerical computations are performed with the help of the finite element software including the 3-phase model previously implemented (cohesive elements are also needed for the simulation of the crack propagation in DENT specimens). In both cases, the comparison between the experimental and numerical force–displacement curves, together with the comparisons between the experimental and numerical strain fields at different times, give very satisfactory results.

previous article Noise processing of flaw reconstruction by wavelet transform in ultrasonic guided SH waves

next article Study of vibration characteristics for orthotropic circular cylindrical shells using wave propagation approach and multivariate analysis

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Huang CH, Wu JS, Huang CC, Lin LS (2003) Adhesion, permeability and mechanical properties of multilayered blown films using maleated low-density polyethylene blends as adhesion-promoting layers. Polym J 35(12):978–984CrossRef

Kuhn W, Grün F (1942) Beziehungen zwischen elastischen Konstanten und Dehnungsdoppelbrechung hochelastischer Stoffe. Kolloid-Z 101(3):248–271CrossRef

James HM, Guth E (1943) Theory of the elastic properties of rubber. J Chem Phys 11(10):455–481ADSCrossRef

Diani J, Brieu M, Vacherand JM, Rezgui A (2004) Directional model for isotropic and anisotropic hyperelastic rubber-like materials. Mech Mater 36(4):313–321CrossRef

Richeton J, Ahzi S, Vecchio KS, Jiang FC, Makradi A (2007) Modeling and validation of the large deformation inelastic response of amorphous polymers over a wide range of temperatures and strain rates. Int J Solids Struct 44(24):7938–7954CrossRefMATH

van Dommelen JAW, Parks DM, Boyce MC, Brekelmans WAM, Baaijens FPT (2003) Micromechanical modeling of the elasto-viscoplastic behavior of semi-crystalline polymers. J Mech Phys Solids 51(3):519–541ADSCrossRefMATH

Bergström JS, Kurtz SM, Rimnac CM, Edidin AA (2002) Constitutive modeling of ultra-high molecular weight polyethylene under large-deformation and cyclic loading conditions. Biomaterials 23(11):2329–2343CrossRef

Lee BJ, Argon AS, Parks DM, Ahzi S, Bartczak Z (1993) Simulation of large strain plastic deformation and texture evolution in high density polyethylene. Polymer 34(17):3555–3575CrossRef

Dupaix RB, Boyce MC (2007) Constitutive modeling of the finite strain behavior of amorphous polymers in and above the glass transition. Mech Mater 39(1):39–52CrossRef

10.

Richeton J, Ahzi S, Vecchio KS, Jiang FC, Adharapurapu RR (2006) Influence of temperature and strain rate on the mechanical behavior of three amorphous polymers: characterization and modeling of the compressive yield stress. Int J Solids Struct 43(7–8):2318–2335CrossRef

11.

Gueguen O, Richeton J, Ahzi S, Makradi A (2008) Micromechanically based formulation of the cooperative model for the yield behavior of semi-crystalline polymers. Acta Mater 56(7):1650–1655CrossRef

12.

Ayoub G, Zaïri F, Fréderix C, Gloaguen JM, Naït-Abdelaziz M, Seguela R, Lefebvre JM (2011) Effects of crystal content on the mechanical behaviour of polyethylene under finite strains: experiments and constitutive modelling. Int J Plast 27(4):492–511CrossRefMATH

13.

Ponçot M, Addiego F, Dahoun A (2013) True intrinsic mechanical behaviour of semi-crystalline and amorphous polymers: influences of volume deformation and cavities shape. Int J Plast 40:126–139CrossRef

14.

Regrain C, Laiarinandrasana L, Toillon S, Saï K (2009) Multi-mechanism models for semi-crystalline polymer: constitutive relations and finite element implementation. Int J Plast 25(7):1253–1279CrossRefMATH

15.

Khan F, Yeakle C, Gomaa S (2012) Characterization of the mechanical properties of a new grade of ultra high molecular weight polyethylene and modeling with the viscoplasticity based on overstress. J Mech Behav Biomed Mater 6:174–180CrossRef

16.

Farrokh B, Khan AS (2010) A strain rate dependent yield criterion for isotropic polymers: low to high rates of loading. Eur J Mech A/Solids 29(2):274–282CrossRef

17.

Rozanski A, Galeski A (2013) Plastic yielding of semicrystalline polymers affected by amorphous phase. Int J Plast 41:14–29CrossRef

18.

Hachour K, Zaïri F, Naït-Abdelaziz M, Gloaguen JM, Aberkane M, Lefebvre JM (2014) Experiments and modeling of high-crystalline polyethylene yielding under different stress states. Int J Plast 54:1–18CrossRef

19.

Srivastava V, Chester SA, Ames NM, Anand L (2010) A thermo-mechanically-coupled large-deformation theory for amorphous polymers in a temperature range which spans their glass transition. Int J Plast 26(8):1138–1182CrossRefMATH

20.

Uchida M, Tada N (2013) Micro-, meso- to macroscopic modeling of deformation behavior of semi-crystalline polymer. Int J Plast 49:164–184CrossRef

21.

Maurel-Pantel A, Baquet E, Bikard J, Bouvard JL, Billon N (2015) A thermo-mechanical large deformation constitutive model for polymers based on material network description: application to a semi-crystalline polyamide 66. Int J Plast 67:102–126CrossRef

22.

Zeng F, Le Grognec P, Lacrampe MF, Krawczak P (2010) A constitutive model for semi-crystalline polymers at high temperature and finite plastic strain: application to PA6 and PE biaxial stretching. Mech Mater 42(7):686–697CrossRef

23.

Kajberg J, Sundin KG, Melin LG, Ståhle P (2004) High strain-rate tensile testing and viscoplastic parameter identification using microscopic high-speed photography. Int J Plast 20(4–5):561–575CrossRefMATH

24.

Yoshida F (2000) A constitutive model of cyclic plasticity. Int J Plast 16(3–4):359–380CrossRefMATH

25.

Besnard G, Hild F, Roux S (2006) “Finite-element” displacement fields analysis from digital images: application to Portevin-Le Châtelier bands. Exp Mech 46(6):789–803CrossRef

26.

Avril S, Pierron F, Sutton MA, Yan J (2008) Identification of elasto-visco-plastic parameters and characterization of Lüders behavior using digital image correlation and the virtual fields method. Mech Mater 40(9):729–742CrossRef

27.

Sutton MA, Walters WJ, Peters WH, Ranson WF, McNeill SR (1983) Determination of displacements using an improved digital correlation method. Image Vis Comput 1(3):133–139CrossRef

28.

Sutton MA, Cheng M, Peters WH, Chao YJ, McNeill SR (1986) Application of an optimized digital correlation method to planar deformation analysis. Image Vis Comput 4(3):143–150CrossRef

29.

Balieu R, Lauro F, Bennani B, Haugou G, Chaari F, Matsumoto T, Mottola E (2015) Damage at high strain rates in semi-crystalline polymers. Int J Impact Eng 76:1–8CrossRef

30.

Uchida M, Tada N (2011) Sequential evaluation of continuous deformation field of semi-crystalline polymers during tensile deformation accompanied by neck propagation. Int J Plast 27(12):2085–2102CrossRefMATH

31.

Hong K, Rastogi A, Strobl G (2004) A model treating tensile deformation of semi-crystalline polymers: quasi-static stress–strain relationship and viscous stress determined for a sample of polyethylene. Macromolecules 37(26):10165–10173ADSCrossRef

32.

Drozdov AD, de Christiansen JC (2008) Thermo-viscoelastic and viscoplastic behavior of high-density polyethylene. Int J Solids Struct 45(14–15):4274–4288CrossRefMATH

33.

Peacock AJ (2000) Handbook of polyethylene: structures, properties and applications. Marcel Dekker, New York

34.

Arruda EM, Boyce MC (1993) A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials. J Mech Phys Solids 41(2):389–412ADSCrossRefMATH

35.

Baghani M, Arghavani J, Naghdabadi R (2014) A finite deformation constitutive model for shape memory polymers based on Hencky strain. Mech Mater 73:1–10CrossRef

36.

Bergström JS, Boyce MC (1998) Constitutive modeling of the large strain time-dependent behavior of elastomers. J Mech Phys Solids 46(5):931–954ADSCrossRefMATH

37.

Zeng F (2010) On the modeling of the mechanical behavior in finite elastoplasticity of shrink wrap films (Contribution à la modélisation du comportement mécanique en grandes déformations élastoplastiques de films plastiques d’emballage). Ph.D. thesis, University of Lille, France

38.

Voyiadjis GZ, Shojaei A, Mozaffari N (2014) Strain gradient plasticity for amorphous and crystalline polymers with application to micro- and nano-scale deformation analysis. Polymer 55(16):4182–4198CrossRef

Title: A 3-phase model for the numerical analysis of semi-crystalline polymer films in finite elastoplastic strains
Authors: Philippe Le Grognec
Salim Chaki
Fanfei Zeng
Mélanie Nottez
Publication date: 09-12-2016
Publisher: Springer Netherlands
Published in: Meccanica / Issue 10/2017
Print ISSN: 0025-6455
Electronic ISSN: 1572-9648
DOI: https://doi.org/10.1007/s11012-016-0586-9

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Other articles of this Issue 10/2017

Study of vibration characteristics for orthotropic circular cylindrical shells using wave propagation approach and multivariate analysis

Effects of the dimensional and geometrical errors on the cylinder block tilt of a high-speed EHA pump

Floating rigid bodies: a note on the conservativeness of the hydrostatic effects

Investigation of thermo-elasto-plastic behavior of thick-walled spherical vessels with inner functionally graded coatings

Condensation process and phase-change in the presence of obstacles inside a minichannel

Parametric study of the distribution of the tensile stresses in pavilion structures constituted by four sectors of barrel shells

Premium Partners