Abstract
A finite element (FE) model, that explicitly discretizes a single 3D spherulite is proposed. A spherulite is a two-phase microstructure consisting of amorphous and crystalline regions. Crystalline regions, that grow from a central nucleus in the form of lamellae, have particular lattice orientations. In the FE analyses, 8-chain and crystal viscoplasticity constitutive models are employed. Stress-strain distributions and slip system activities in the spherulite microstructure are studied and found to be in good agreement with the literature. Influences of the crystallinity ratio on the yield stress and the initial Young’s modulus are also investigated.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
P. Allan, M. Bevis, Deformation processes in thin melt-cast films of high-density polyethylene – 2. deformation processes in the non-equatorial regions of spherulites. Philos. Mag. A 41 (4), 555–572 (1980)
E.M. Arruda, M.C. Boyce, A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials. J. Mech. Phys. Solids 41 (2), 389–412 (1993)
C.L. Choy, W.P. Leung, Elastic moduli of ultradrawn polyethylene. J. Polym. Sci. A-2, Polym. Phys. 23 (9), 1759–1780 (1985)
B. Crist, C.J. Fisher, P.R. Howard, Mechanical properties of model polyethylenes: tensile elastic modulus and yield stress. Macromolecules 22 (5), 1709–1718 (1989)
E.A. de Souza Neto, D. Peric, D.R.J. Owen, Computational Methods for Plasticity: Theory and Applications (Wiley, West Sussex, 2008)
S. Gautam, S. Balijepalli, G.C. Rutledge, Molecular simulations of the interlamellar phase in polymers: effect of chain tilt. Macromolecules 33 (24), 9136–9145 (2000)
I.L. Hay, A. Keller, Polymer deformation in terms of spherulites. Kolloid-Z. Z. für Polym. 204 (1–2), 43–74 (1965)
B.J. Lee, A.S. Argon, D.M. Parks, S. Ahzi, Z. Bartczak, Simulation of large strain plastic deformation and texture evolution in high density polyethylene. Polymer 34 (17), 3555–3575 (1993)
L. Lin, A.S. Argon, Structure and plastic deformation of polyethylene. J. Mater. Sci. 29 (2), 294–323 (1994)
H.E. Oktay, E. Gürses, Modeling of spherulite microstructures in semicrystalline polymers. Mech. Mater 90, 83–101 (2015)
E.F. Oleinik, Plasticity of semicrystalline flexible-chain polymers at the microscopic and mesoscopic levels. Polym. Sci. Ser. C 45 (1), 17–117 (2003)
D.M. Parks, S. Ahzi, Polycrystalline plastic deformation and texture evolution for crystals lacking five independent slip systems. J. Mech. Phys. Solids 38 (5) 701–724 (1990)
J. Teixeira-Pinto, C. Nadot-Martin, F. Touchard, M. Gueguen, S. Castagnet, Towards the size estimation of a representative elementary domain in semi-crystalline polymers. Mech. Mater. 95, 239–247 (2016)
M. Uchida, N. Tada, Micro-, meso- to macroscopic modeling of deformation behavior of semi-crystalline polymer. Int. J. Plast. 49, 164–184 (2013)
J.A.W. Van Dommelen, D.M. Parks, M.C. Boyce, W.A.M. Brekelmans, F.P.T. Baaijens, Micromechanical modeling of intraspherulitic deformation of semicrystalline polymers. Polymer 44 (19), 6089–6101 (2003)
J.A.W. Van Dommelen, D.M. Parks, M.C. Boyce, W.A.M. Brekelmans, F.P.T. Baaijens, Micromechanical modeling of the elasto-viscoplastic behavior of semi-crystalline polymers. J. Mech. Phys. Solids 51 (3), 519–541 (2003)
Acknowledgements
This work was supported by the Scientific and Technological Research Council of Turkey (TÜBİTAK), Grant No. 111M646.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this paper
Cite this paper
Oktay, H.E., Gürses, E. (2016). Modeling of a Three-Dimensional Spherulite Microstructure in Semicrystalline Polymers. In: Karasözen, B., Manguoğlu, M., Tezer-Sezgin, M., Göktepe, S., Uğur, Ö. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2015. Lecture Notes in Computational Science and Engineering, vol 112. Springer, Cham. https://doi.org/10.1007/978-3-319-39929-4_55
Download citation
DOI: https://doi.org/10.1007/978-3-319-39929-4_55
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-39927-0
Online ISBN: 978-3-319-39929-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)