Modelling Behaviour of PET for Stretch and Micro-Blow Moulding Applications Using an Elasto-Visco-Plastic Material Model
-
H. Mir
, F. Thibault and R. DiRaddo
Abstract
Polyethylene terephthalate (PET) has been widely used in the stretch blow moulding (SBM) process for packaging applications. Finite element analysis has become extensively useful for assessing container designs and enabling the designers to perform analyses earlier in the design cycle to determine the best material and the best structure. However, there are several challenging issues due to various processing parameters and complex material behaviour, which is both temperature and strain-rate dependent. In this paper, we generalize the G'Sell-Jonas law in the three-dimensional (3D) case to model and simulate the elasto-visco-plastic (EVP) behaviour of PET, taking into account strain-hardening and strain-softening. In addition, it is observed that the internal pressure (inside the preform) is significantly different from the nominal pressure (imposed in the blowing device upstream) since the internal pressure and the enclosed volume of the preform are fully coupled. In order to accurately simulate this phenomenon, a thermodynamic model was used to characterize the pressure-volume relationship (PVR). The predicted pressure evolution is therefore more realistic when imposing only the machine power of the blowing device (air compressor or vacuum pump). Mechanical and temperature equilibrium equations are fully nonlinear and solved separately with implicit schemes on the current deformed configuration, which is updated at each time step. Biaxial characterization tests were used to determine the model parameters in order to simulate the SBM process using the PVR. Three industrial case studies, comparing simulated thickness predictions to experimental measurements, will be presented in order to illustrate the applicability of the proposed model.
References
Adams, A. M., et al., “Biaxial Hot Drawing of Poly(ethylene terephthalate): Measurements and Modelling of Strain-stiffening”, Polymer, 41, 771–786(2000), DOI: 10.1016/S0032-3861(98)00834-9Search in Google Scholar
Ajji, A., et al., “Orientation, Mechanical, and Thermal Characterization of Drawn PET”, SPE ANTEC Tech. Papers, 1421–1423(1994)Search in Google Scholar
Billon, N., et al., “Blow Molding and Thermoforming of Polymers”, ESAFORM Tech. Papers, 341–344(2001)Search in Google Scholar
Boyce, M. C., et al., “Constitutive Model for the Finite Deformation Stress-strain Behavior of Poly(ethylene terephthalate) above the Glass Transition”, Polymer, 41, 2183–2201(2000), DOI: 10.1016/S0032-3861(99)00406-1Search in Google Scholar
Bucaille, J.-L., et al., “The Influence of Strain Hardening of Polymers on the Piling-Up Phenomenon in Scratch Tests: Experiments and Numerical Modelling”, Wear, 260, 803–814(2006)10.1016/j.wear.2005.04.007Search in Google Scholar
Buckley, C. P., Jones, D. P., “Glass-Rubber Constitutive Model for Amorphous Polymers Near the Glass Transition”, Polymer, 36, 3301–3312(1995), DOI: 10.1016/0032-3861(95)99429-XSearch in Google Scholar
Buckley, C. P., et al., “Hot-drawing of Poly(ethylene terephthalate) under Biaxial Stress: Application of a Three-dimensional Glass-rubber Constitutive Model”, Polymer, 37, 2403–2414(1996), DOI: 10.1016/0032-3861(96)85352-3Search in Google Scholar
Choudhury, N., et al., “Micro-Blow Moulding and Micro-Thermoforming: Simulation and Validation”, PPS Tech. Papers (PPS-24), (2008)Search in Google Scholar
Chung, K., “Finite Element Simulation of PET Stretch/Blow molding Process”, J. Mater. Shap. Tech., 7, 229–239(1989), DOI: 10.1007/BF02834774Search in Google Scholar
Crisfield, M. A.: Non-Linear Finite Element Analysis of Solids and Structures, Volume 1, John Wiley & Sons, New York(1991)Search in Google Scholar
Dargent, E., et al., “Thermal Behaviour of Drawn Semi-crystalline Poly(ethylene terephthalate) Films”, J. Therm. Anal., 41, 1409–1415(1994), DOI: 10.1007/BF02549936Search in Google Scholar
DiRaddo, R., et al., “Process Optimization of Stretch Blow Moulding for Mechanical, Clarity and Barrier Performance”, SPE ANTEC Tech. Papers, 850–856(1997)Search in Google Scholar
Dupaix, R. B., Boyceb, M. C., “Finite Strain Behavior of Poly(ethylene terephthalate) (PET) and Poly(ethylene terephthalate)-Glycol (PETG)”, Polymer, 46, 4827–4838(2005)10.1016/j.polymer.2005.03.083Search in Google Scholar
Dupaix, R. B., Krishnan, D. A., “Constitutive Model for Strain-Induced Crystallization in Poly(ethylene terephthalate) (PET) during Finite Strain Load-Hold Simulations”, J. Eng. Mater. Tech., 128, 28–33(2006), DOI: 10.1115/1.1924564Search in Google Scholar
G'Sell, C., Jonas, J. J., “Determination of the Plastic Behavior of Solid Polymers at Constant True Strain Rate”, J. Mater. Sci., 14, 583–591(1979), PMid:12220076Search in Google Scholar
Holzapfel, G. A., et al., “A Layer-Specific Three-Dimensional Model for the Simulation of Balloon Angioplasty using Magnetic Resonance Imaging and Mechanical Testing”, Ann. Biomed. Eng., 30, 753–767(2002), DOI: 10.1114/1.1492812Search in Google Scholar PubMed
Khayat, R. E., Derdouri, A., “Inflation of Hyperelastic Cylindrical Membranes as Applied to Blow Moulding. Part I. Axisymmetric Case”, Int. J. Numer. Meth. Eng., 37, 3773–3791(1994a), DOI: 10.1002/nme.1620372203Search in Google Scholar
Khayat, R. E., Derdouri, A., “Inflation of Hyperelastic Cylindrical Membranes as Applied to Blow Moulding. Part II. Non-Axisymmetric Case”, Int. J. Numer. Meth. Eng., 37, 3793–3808(1994b), DOI: 10.1002/nme.1620372204Search in Google Scholar
Khayat, R. E., Derdouri, A., “Stretch and Inflation of Hyperelastic Membranes as Applied to Blow Molding”, Polym. Eng. Sci., 35, 1852–1863(1995), DOI: 10.1002/pen.760352304Search in Google Scholar
Laroche, D., et al., “Numerical Modelling for the Optimization of Industrial Blow Moulded Parts”, SPE ANTEC Tech. Papers, 919–924(1995)Search in Google Scholar
Laroche, D., et al., “Parison Inflation Behaviour of an Industrial Blow Moulded Part”, SPE ANTEC Tech. Papers, 982–986(1996)Search in Google Scholar
Laroche, D., et al., “Integrated Numerical Modeling of the Blow Molding Process”, Polym. Eng. Sci., 39, 1223–1233(1999), DOI: 10.1002/pen.11509Search in Google Scholar
Martin, L., et al., “Modeling and Experimental Validation of Stretch Blow Moulding of PET”, SPE ANTEC Tech. Papers, 982–987(1999)Search in Google Scholar
McEvoy, J. P., et al., “Simulation of the Stretch Blow Molding Process of PET Bottles”, Adv. Polym. Tech., 17, 339–352(1998), DOI: 10.1002/(SICI)1098-2329(199824)17:4<339::AID-ADV5>3.0.CO;2-SSearch in Google Scholar
Menary, G. H., Armstrong, C. G., “Modelling of Poly(ethylene terephthalate) in Injection Stretch-Blow Moulding”, Plast. Rubber Comp., 29, 360–370(2000)10.1179/146580100101541166Search in Google Scholar
Menary, G. H., Armstrong, C. G., “Experimental Study and Numerical Modeling of Injection Stretch Blow Molding of Angioplasty Balloons”, Plast. Rubber Comp., 35, 348–354(2006), DOI: 10.1179/174328906X143877Search in Google Scholar
Menary, G. H., et al., “Validating Injection Stretch-Blow Molding Simulation Through Free Blow Trials”, Polym. Eng. Sci., 1047–1057(2010), DOI: 10.1002/pen.21555Search in Google Scholar
Pan, F., “Modeling of the Rate Responsive Behavior of Elastomer Foam Materials”, J. Eng. Mater. Tech., 130, 1–6(2008), DOI: 10.1115/1.2807047Search in Google Scholar
Pham, X.-T., et al., “Modeling and Simulation of Stretch Blow Molding of Polyethylene terephtalate”, Polym. Eng. Sci., 44, 1460–1472(2004), DOI: 10.1002/pen.20142Search in Google Scholar
Ritchie, S. J. K., “A Model for the Large-Strain Deformation of Polyethylene”, J. Mater. Sci., 35, 5829–5837(2000), DOI: 10.1023/A:1026744005955Search in Google Scholar
Salem, D. R., “Development of Crystalline Order during Hot-drawing of Poly(ethylene terephthalate) Film: Influence of Strain Rate”, Polym., 33, 3182–3188(1992)., DOI: 10.1016/0032-3861(92)90232-LSearch in Google Scholar
Schmidt, F. M., et al., “Experimental Study and Numerical Simulation of the Injection Stretch/Blow Molding Process”, Polym. Eng. Sci., 38, 1399–1412(1998), DOI: 10.1002/pen.10310Search in Google Scholar
Simo, J. C., Hughes, T. J. R.: Computational Inelasticity, Series: Interdisciplinary Applied Mathematics, Volume. 7, Springer, New York(1989)Search in Google Scholar
Vantal, M. H., et al., “Numerical Simulation of the Thermoforming of Multi-layer Polymer Sheets”, Numiform Tech. Papers, 1089–1095(1995)Search in Google Scholar
Van Wylen, G. J., Sonntag, R. E.: Fundamentals of Classical Thermodynamics, 3rd Edition, John Wiley & Sons, New York(1985)Search in Google Scholar
Vigny, M., et al., “Constitutive Viscoplastic Behavior of Amorphous PET During Plane-Strain Tensile Stretching”, Polym. Eng. Sci., 39, 2366–2376(1999), DOI: 10.1002/pen.11625Search in Google Scholar
Wang, S., Akitake, M., “Three-Dimensional Viscoplastic FEM Simulation of a Stretch Blow Molding Process”, Adv. Polym. Tech., 17, 189–202(1998), DOI: 10.1002/(SICI)1098-2329(199823)17:3<189::AID-ADV1>3.0.CO;2-OSearch in Google Scholar
Wang, S., et al., “Viscoplastic Material Modeling for the Stretch Blow Molding Simulation”, Int. Polym. Proc., 15, 166–175(2000)Search in Google Scholar
© 2011, Carl Hanser Verlag, Munich
Articles in the same Issue
- Contents
- Contents
- Regular Contributed Articles
- Thermal Properties and Electrical Conductivity of Graft Copolymers from Polystyrene and Polyvinyl Propionate with Polyaniline
- Opto-thermo-mechanical Characterization for Polyester and Polyamide Surgical Sutures
- Study on Creep Behavior of PP/CaCO3 Molded by Vibration Injection Molding at Different Vibration Frequency and Vibration Pressure
- Investigation of the Moldability Parameters of PEG Based Steatite Feedstocks by Powder Injection Molding
- Factorial Optimisation of the Effects of Melt Spinning Conditions on Biodegradable As-spun Aliphatic-Aromatic Co-Polyester Fibres
- Erosion Behavior of Glass-epoxy Composites Filled with SiC from Bamboo Leaf
- Modelling Behaviour of PET for Stretch and Micro-Blow Moulding Applications Using an Elasto-Visco-Plastic Material Model
- Melting in a Single Screw Extruder: Experiments and 3D Finite Element Simulations
- Poly(ethylene-co-butylene)-b-(styrene-ran-maleic anhydride)2 Compatibilizers via Nitroxide Mediated Radical Polymerization
- Formation and Biodegradation of Polyethylene-based Electret Films
- Microstructural Evolution of PP/EPDM/Organoclay Nanocomposites in a Twin Screw Extruder
- Effect of Processing Conditions on Properties of PET/Clay Nanocomposite Films
- Rapid Communications
- The Use of Apparent Yield Stress to Characterize Exfoliation in Polymer Nanocomposites
- PPS-News
- PPS News
Articles in the same Issue
- Contents
- Contents
- Regular Contributed Articles
- Thermal Properties and Electrical Conductivity of Graft Copolymers from Polystyrene and Polyvinyl Propionate with Polyaniline
- Opto-thermo-mechanical Characterization for Polyester and Polyamide Surgical Sutures
- Study on Creep Behavior of PP/CaCO3 Molded by Vibration Injection Molding at Different Vibration Frequency and Vibration Pressure
- Investigation of the Moldability Parameters of PEG Based Steatite Feedstocks by Powder Injection Molding
- Factorial Optimisation of the Effects of Melt Spinning Conditions on Biodegradable As-spun Aliphatic-Aromatic Co-Polyester Fibres
- Erosion Behavior of Glass-epoxy Composites Filled with SiC from Bamboo Leaf
- Modelling Behaviour of PET for Stretch and Micro-Blow Moulding Applications Using an Elasto-Visco-Plastic Material Model
- Melting in a Single Screw Extruder: Experiments and 3D Finite Element Simulations
- Poly(ethylene-co-butylene)-b-(styrene-ran-maleic anhydride)2 Compatibilizers via Nitroxide Mediated Radical Polymerization
- Formation and Biodegradation of Polyethylene-based Electret Films
- Microstructural Evolution of PP/EPDM/Organoclay Nanocomposites in a Twin Screw Extruder
- Effect of Processing Conditions on Properties of PET/Clay Nanocomposite Films
- Rapid Communications
- The Use of Apparent Yield Stress to Characterize Exfoliation in Polymer Nanocomposites
- PPS-News
- PPS News