Vol. 2, No. 1, 2007

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ISSN: 1559-3959
Composite modeling for the effective elastic properties of semicrystalline polymers

Said Ahzi, Nadia Bahlouli, Ahmed Makradi and Salim Belouettar

Vol. 2 (2007), No. 1, 1–21
Abstract

It is established that upper and lower bounds predict results far apart from each other for the effective elastic properties of semicrystalline polymers such as polyethylene. This is manly due to the high anisotropy of the elastic properties of the crystals. Composite modeling has been used to predict intermediate results between the bounds. Here, we show the details of composite modeling based on a two phase inclusion (crystalline lamella and amorphous domain) as the local representative element of a semicrystalline polymer. Three approaches, two composite bounds, and a composite self-consistent model, are used to compute the overall elastic properties. Details of the development of these approaches are given in this paper. We find good agreement between results from these approaches and experimental results for polyethylene.

Keywords
effective elastic properties, crystalline polymers, homogenization, micromechanics, composite averaging schemes
Milestones
Received: 11 December 2005
Revised: 9 June 2006
Accepted: 28 June 2006
Published: 1 March 2007
Authors
Said Ahzi
University Louis Pasteur
Institute of Fluid and Solid Mechanics
UMR 7507
2 Rue Boussingault
67000 Strasbourg
France
Nadia Bahlouli
University Louis Pasteur
Institute of Fluid and Solid Mechanics
UMR 7507
2 Rue Boussingault
67000 Strasbourg
France
Ahmed Makradi
University Louis Pasteur
Institute of Fluid and Solid Mechanics
UMR 7507
2 Rue Boussingault
67000 Strasbourg
France
Salim Belouettar
LTI
Research Center Henry Tudor
70 Rue de Luxembourg
L-4221 Esch-sur-Alzette
Luxembourg