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Micromechanical modeling and strength prediction of short fiber reinforced polymers

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Published/Copyright: February 1, 2012
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Journal of Polymer Engineering
From the journal Volume 32 Issue 1

Abstract

In this contribution, the embedding and compatibility of commonly used strength criteria in practical engineering design (e.g., Tsai-Hill) into a two-step, mean-field, homogenization approach are investigated. This approach provides the opportunity to account for the heterogeneous microstructure of a polymer composite, caused by the non-unidirectional fiber distribution due to the injection molding process. In a first step, an incremental Mori-Tanaka homogenization scheme is applied to unidirectional sub-domains. In a second step, a Voigt model is used to compute the mechanical composite behavior of an entire domain, which itself is the composition of weighted sub-domains. The chosen two-step approach allows the application of models to predict the strength after both homogenization steps. This leads to two different strength prediction strategies. The selection of certain criteria in combination with the selected level of strength prediction influences the simulation results and the number of material tests necessary for calibration. These two aspects are directly linked to engineering expenses and they are evaluated in a cost benefit analysis. To account for elasto-plasticity, a second-moment formulation is used and extended. The extension allows the direct usage of experimental matrix material data, without having to introduce a virtual matrix as commonly necessary.


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Published Online: 2012-02-01
Published in Print: 2012-02-01

©2012 by Walter de Gruyter Berlin Boston

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