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: 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.
R. M. Bowen, Continuum theories of mixtures, Report No. 45, RDTE No. 1B062113A660, BRL, Aberdeen Proving Grounds, Md., June 1971.
R. M. Bowen, Continuum theories of mixtures, Report No. 45, RDTE No. 1B062113A660, BRL, Aberdeen Proving Grounds, Md., June 1971.
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Article copyright:
© Copyright 1973
American Mathematical Society