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On the stress tensor in nematic liquid crystals

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Summary

This paper presents an analysis on the stress tensor in non-heat conducting nematic liquid crystals. Essentially it is shown that the Lee-Eringen theory possesses two inconsistent versions for the stress tensor. The first version appears to be incapable of describing the flow problems of nematic liquid crystals and the second version is shown to be similar to the stress tensor as proposed in the Ericksen-Leslie theory.

Zusammenfassung

Diese Arbeit beinhaltet eine Untersuchung des Spannungstensors in nicht-wärmeleitenden nematischen flüssigen Kristallen. Es wird vor allem gezeigt, daß die Theorie vonLee undEringen zwei nicht miteinander verträgliche Darstellungen des Spannungstensors enthält. Die erste scheint nicht imstande zu sein, die Strömungsverhältnisse bei nematischen flüssigen Kristallen richtig zu beschreiben. Von der zweiten wird dagegen gezeigt, daß sie einen ähnlichen Ausdruck für den Spannungstensor liefert wie die Theorie vonEricksen undLeslie.

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Authors and Affiliations

  1. Johns Hopkins University, Baltimore, Md., USA

    M. Shahinpoor

  2. Department of Mechanical Engineering, Pahlavi University School of Engineering, Shiraz, Iran

    M. Shahinpoor

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  1. M. Shahinpoor
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Shahinpoor, M. On the stress tensor in nematic liquid crystals. Rheol Acta 15, 99–103 (1976). https://doi.org/10.1007/BF01517500

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  • DOI: https://doi.org/10.1007/BF01517500

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