Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



Natural stress rate

Authors: David Durban and Menahem Baruch
Journal: Quart. Appl. Math. 35 (1977), 55-61
DOI: https://doi.org/10.1090/qam/99647
MathSciNet review: QAM99647
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Abstract: A three-dimensional definition of the natural stress rate is suggested. The behavior of a hypoelastic material of grade zero based on the natural stress rate is analyzed for the case of simple extension. The results of the theoretical analysis agree with existing experimental data for urethane rubber. An interesting relation between the natural stress rate and stress rates suggested by Truesdell and Hill is given. The paper is written in full tensorial notation which is especially suitable when rates of tensor are considered.

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DOI: https://doi.org/10.1090/qam/99647
Article copyright: © Copyright 1977 American Mathematical Society

American Mathematical Society