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New aspects of the single phase aggregate model for oriented polymers

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Abstract

A reinvestigation of the single phase aggregate model (SPAM) of Ward applied to the elastic properties of uniaxially oriented polymers is presented. It is shown that the Voigt and the Reuss orientation average of elastic constants can be represented as a linear transformation in a 5-dimensional vector space. The corresponding transformation matrix can be diagonalized, showing that the eigenvalues of this transformation are the orientation parametersP 0 =1,P 2 andP 4 . Taking advantage of this representation an easy test of applicability of the SPAM is proposed. Possibilities to evaluate the SPAM parameters are reviewed.

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Peetz, L., Krüger, J.K. New aspects of the single phase aggregate model for oriented polymers. Colloid & Polymer Sci 264, 1010–1016 (1986). https://doi.org/10.1007/BF01410318

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  • DOI: https://doi.org/10.1007/BF01410318

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