Abstract
A common practice in toughening of semicrystalline polymers is to blend them with second-phase rubber particles. A toughening mechanism has recently been suggested which considers a layer of transcrystallized material around well-dispersed particles. This layer has a reduced yield strength in certain preferentially oriented directions. A multiscale numerical model is used to investigate the effect of such a specific microstructural morphology on the mechanical behavior of voided systems. A polycrystalline model is used for high density polyethylene (HDPE) matrix material. The basic structural element in this model is a layered two-phase composite inclusion, comprising both a crystalline and an amorphous domain. The averaged fields of an aggregate of composite inclusions, having either a random or a preferential orientation, form the constitutive behavior of the polymeric matrix material. The anisotropy of material with preferential orientations is determined. The particle-dispersed system is described by finite element RVE models, with in each integration point an aggregate of composite inclusions. Transcrystallized orientations are found to have a limited effect on matrix shear yielding and alter the triaxial stress field. An hypothesized, flow-influenced, microstructure is shown to further improve material properties if loaded in the appropriate direction.
Similar content being viewed by others
References
S. Wu, Polymer 26 (1985) 1855.
R. J. M. Borggreve, R. J. Gaymans, J. Schuijer and J. F. Ingen Housz, ibid. 28 (1987) 1489.
S. Wu, J. Appl. Polym. Sci. 35 (1988) 549.
A. Margolina and S. Wu, Polymer 29 (1988) 2170.
T. Fukui, Y. Kikuchi and T. Inoue, ibid. 32 (1991) 2367.
K. Dijkstra and G. H. Ten Bolscher, J. Mater. Sci. 29 (1994) 4286.
O. K. MuratoĞlu, A. S. Argon and R. E. Cohen, Polymer 36 (1995) 2143.
Idem., ibid. 36 (1995) 921.
P. A. Tzika, M. C. Boyce and D. M. Parks, J. Mech. Phys. Solids 48 (2000) 1893.
Z. Bartczak, A. S. Argon, R. E. Cohen and M. Weinberg, Polymer 40 (1999) 2331.
Idem., ibid. 40 (1999) 2347.
B. A. G. Schrauwen, L. E. Govaert, G. W. M. Peters and H. E. H. Meijer, Macromol. Symp. 185 (2002) 89.
J. A. W. van Dommelen, W. A. M. Brekelmans and F. P. T. Baaijens, Mech. Mater. 35 (2003) 845.
Idem., Comp. Mater. Sci. 27 (2003) 480.
J. A. W. van Dommelen, D. M. Parks, M. C. Boyce, W. A. M. Brekelmans and F. P. T. Baaijens, J. Mech. Phys. Solids 51 (2003) 519.
C. G'sell and A. Dahoun, Mater. Sci. Eng. A 175 (1994) 183.
A. S. Argon, J. Comput. Aided Mater. Des. 4 (1997) 75.
B. J. Lee, D. M. Parks and S. Ahzi, J. Mech. Phys. Solids 41 (1993) 1651.
E. M. Arruda and M. C. Boyce, ibid. 41 (1993) 389.
D. C. Bassett and A. M. Hodge, Proc. Roy. Soc. London A 377 (1981) 25.
D. C. Bassett, A. M. Hodge and R. H. Olley, ibid. 377 (1981) 39.
Z. Bartczak, A. S. Argon, R. E. Cohen and T. Kowalewski, Polymer 40 (1999) 2367.
B. J. Lee, A. S. Argon, D. M. Parks, S. Ahzi and Z. Bartczak, ibid. 34 (1993) 3555.
HKS. ABAQUS/Standard User's Manual, Version 6.2. Hibbitt, Karlsson & Sorensen, Inc., Pawtucket, Rhode Island, USA (2001).
J. A. W. van Dommelen, D. M. Parks, M. C. Boyce, W. A.M. Brekelmans and F. P. T. Baaijens, in Proceedings of the European Conference on Computational Mechanics, Cracow, Poland, 2001.
A. Keller and S. Sawada, Makromol. Chem. 74 (1964) 190.
S. Gautam, S. Balijepalli and G. C. Rutledge, Macromolecules 33 (2000) 9136.
R. J. M. Smit, W. A. M. Brekelmans and H. E. H. Meijer, J. Mech. Phys. Solids 47 (1999) 201.
S. Socrate and M. C. Boyce, ibid. 48 (2000) 233.
R. J. M. Smit, W. A. M. Brekelmans and H. E. H. Meijer, Comput. Methods Appl. Mech. Eng. 155 (1998) 181.
R. Hall, J. Mater. Sci. 26 (1991) 5631.
V. Tvergaard, J. Mech. Phys. Solids 44 (1996) 1237.
Idem., Internat. J. Solids Struct. 30 (1998) 3989.
H.-H. Kausch, R. Gensler, CH. Grein, C. J. G. Plummer and P. Scaramuzzino, J. Macromol. Sci. Phys. B38 (1999) 803.
G. H. Michler and R. Godehardt, Cryst. Res. Technol. 35 (2000) 863.
I. Narisawa and M. Ishikawa, Crazing in Semicrystalline Thermoplastics, Vol. 91/92 of Adv. Polym. Sci. (Springer-Verlag, Berlin, 1990) p. 353.
S. J. Pan, J. Im, M. J. Hill, A. Keller, A. Hiltner and E. Baer, J. Polym. Sci.; Part B: Polym. Phys. 28 (1990) 1105.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
van Dommelen, J.A.W., Brekelmans, W.A.M. & Baaijens, F.P.T. Multiscale modeling of particle-modified polyethylene. Journal of Materials Science 38, 4393–4405 (2003). https://doi.org/10.1023/A:1026307821453
Issue Date:
DOI: https://doi.org/10.1023/A:1026307821453