Abstract
The prediction of shrinkage and warpage of extrusion blow molded plastic parts is a topic of high industrial demand. Nevertheless, simulation results are still associated with uncertainties. One of the major difficulties is the description of the complex time-, temperature- and process-dependent material behavior of semicrystalline polymers like high density polyethylene (HDPE). It is state of the art to use linear viscoelastic material models for the shrinkage and warpage analysis. However, linear viscoelastic behavior can only be assumed if the stresses are small. To increase the prediction accuracy of the current simulation models, nonlinear viscoelastic material models, such as the Abaqus Parallel Rheological Framework (PRF), are investigated. The calibration of the PRF model can be quite challenging, especially if a higher number of networks is used. Consequently, we present a calibration strategy that uses functional relations to describe the parameters along the network elements in order to reduce the dimensions of the design space for model calibration. To find the best possible solution, the global optimization algorithm Adaptive Simulated Annealing (ASA) is used. A simplified one-dimensional representation of the PRF model is implemented in Matlab to further reduce the computational effort of the model calibration. The calibration workflow is successfully tested using a set of relaxation tests with subsequent unloading at different strain and temperature levels. A good agreement between the experimental material tests and the simulation results, using the calibrated PRF model, is observed.
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References
Laroche D, Kabanemi KK, Pecora L, Diraddo RW (1999) Integrated numerical modeling of the blow molding process. Polymer Engineering and Science 39(7):1223–1233
Kabanemi KK, Vaillancourt H, Wang H, Salloum G (1998) Residual stresses, shrinkage, and warpage of complex injection molded products: Numerical simulation and experimental validation. Polymer Engineering and Science 38(1):21–37
Williams ML, Landel RF, Ferry JD (1955) The temperature dependence of relaxation mechanisms in amorphous polymers and other glass-forming liquids. Journal of the American Chemical Society 77(14):3701–3707
Debergue P, Massé H, Thibault F, DiRaddo R (2003) Modelling of solidification deformation in automotive formed parts. SAE Transactions 112:359–365
Benrabah Z, Debergue P, DiRaddo R (2006) Deflashing of automotive formed parts: Warpage and tolerance issues. SAE International
Benrabah Z, Mir H, Zhang Y (2013) Thermo-viscoelastic model for shrinkage and warpage prediction during cooling and solidification of automotive blow molded parts. SAE International Journal of Materials and Manufacturing 6(2):349–364
Benrabah Z, Bardetti A, Ilinca F, Ward G (2018) Numerical simulation of shrinkage and warpage deformation of an intermittent-extrusion blow molded part: validation case study. In: ANTECH 2018 Conference Proceedings, Society of Plastic Engineering. Blow Molding Division, ANTECH 2018 Conference, May 7–10, 2018, Orlando, FL, USA
Michels P, Bruch O, Evers-Dietze B, Grotenburg D, Ramakers-van Dorp E, Altenbach H (2022) Shrinkage simulation of blow molded parts using viscoelastic material models. Materialwissenschaft und Werkstofftechnik 53(4):449–466
Ramakers-van Dorp E, Blume C, Haedecke T, Pata V, Reith D, Bruch O, Möginger B, Hausnerova B (2019) Process-dependent structural and deformation properties of extrusion blow molding parts. Polymer Testing 77:105,903
Grommes D, Bruch O, Geilen J (2016) Investigation of the influencing factors on the process-dependent elasticity modulus in extrusion blow molded plastic containers for material modelling in the finite element simulation. AIP Conference Proceedings 1779(1):050,013–1–050,013–5
Ramakers-van Dorp E (2019) Process-induced thermal and viscoelastic behavior of extrusion blow molded parts. PhD thesis, Tomas Bata University in Zlin, Zlin
Lai J, Bakker A (1995) Analysis of the non-linear creep of high-density polyethylene. Polymer 36(1):93–99
Schapery RA (1969) On the characterization of nonlinear viscoelastic materials. Polymer Engineering and Science 9(4):295–310
Michaeli W, Brandt M, Brinkmann M, Schmachtenberg E (2006) Simulation des nicht-linear viskoelastischen Werkstoffverhaltens von Kunststoffen mit dem 3D-Deformationsmodell. Zeitschrift Kunststofftechnik 2(5)
Bergstrom JS, Bischoff JE (2010) An advanced thermomechanical constitutive model for UHMWPE. International Journal of Structural Changes in Solids – Mechanics and Applications 2(1):31–39
Lapczyk I, Hurtado JA, Govindarajan SM (2012) A parallel rheological framework for modeling elastomers and polymers. In: American Chemical Society (ed) 182nd Technical Meeting of the Rubber Division of the American Chemical Society, pp 1840–1859
Hurtado J, Lapczyk I, Govindarajan S (2013) Parallel rheological framework to model non-linear viscoelasticity, permanent set and mullins effect in elastomers. In: Alonso A (ed) Constitutive Models for Rubber VIII, CRC Press, pp 95–100
Dassault Systèmes (2023) SIMULIA User Assistance 2023
Bergstrom J (2015) Mechanics of Solid Polymers: Theory and Computational Modeling. Elsevier, Amsterdam
PolymerFEM LLC (2023) PolyUMod
Gutierrez-Lemini D (2014) Engineering Viscoelasticity. Springer, New York and Heidelberg and Dordrecht and London
Kipping A (2003) Thermomechanische analyse der kühlphase beim extrusionsblasformen von kunststoffen. PhD thesis, Universität Siegen, Siegen
Kunststoffmaschinen VDMAFG (1979) Kenndaten für die Verarbeitung thermoplastischer Kunststoffe. Hanser, München
Koppelmann J (1959) Über den dynamischen Elastizitätsmodul von Polymethacrylsäuremethylester bei sehr tiefen Frequenzen. Kolloid-Zeitschrift 164(1):31–34
Sommer W (1959) Elastisches Verhalten von Polyvinylchlorid bei statischer und dynamischer Beanspruchung. Kolloid-Zeitschrift 167(2):97–131
Kulik M (1974) Ein beitrag zur analyse des kontinuierlichen extrusionsblasformens. PhD thesis, Fak. f. Maschinenwesen, RWTH Aachen, Achen
Harzheim L (2014) Strukturoptimierung: Grundlagen und Anwendungen, 2nd edn. Verlag Europa-Lehrmittel, Haan
PolymerFEM LLC (2022) PolyUMod: A Library of Advanced User Materials: Version: 7.0.1
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Michels, P., Dresbach, C., Dorp, E.Rv., Altenbach, H., Bruch, O. (2023). Application of Nonlinear Viscoelastic Material Models for the Shrinkage and Warpage Analysis of Blow Molded Parts. In: Altenbach, H., Naumenko, K. (eds) Creep in Structures VI. IUTAM 2023. Advanced Structured Materials, vol 194. Springer, Cham. https://doi.org/10.1007/978-3-031-39070-8_13
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DOI: https://doi.org/10.1007/978-3-031-39070-8_13
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