Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



On balance of forces for mixtures

Authors: Morton E. Gurtin, Marion L. Oliver and William O. Williams
Journal: Quart. Appl. Math. 30 (1973), 527-530
DOI: https://doi.org/10.1090/qam/99715
MathSciNet review: QAM99715
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Abstract | References | Additional Information

Abstract: The usual theory of mixtures assumes the existence of a partial stress tensor; this leads to a questionable relation of symmetry of forces. We show how a reinterpretation of the concept of partial stress tensor avoids this problem. The usual balance equations hold, but the distinction between the new stress tensor and the old leads to a different interpretation of boundary data.

References [Enhancements On Off] (What's this?)

  • [1] R. M. Bowen, Continuum theories of mixtures, Report No. 45, RDTE No. 1B062113A660, BRL, Aberdeen Proving Grounds, Md., June 1971.

Additional Information

DOI: https://doi.org/10.1090/qam/99715
Article copyright: © Copyright 1973 American Mathematical Society

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