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Erschienen in:
1997 | OriginalPaper | Buchkapitel
Large Elastic Deformations of Isotropic Materials. I. Fundamental Concepts
verfasst von : R. S. Rivlin
Erschienen in: Collected Papers of R.S. Rivlin
Verlag: Springer New York
Enthalten in: Professional Book Archive
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The mathematical theory of small elastic deformations has been developed to a high degree of sophistication on certain fundamental assumptions regarding the stress-strain relationships which are obeyed by the materials considered. The relationships taken are, in effect, a generalization of Hooke’s law—ut tensio, sic vis. The justification for these assumptions lies in the widespread agreement of experiment with the predictions of the theory and in the interpretation of the elastic behaviour of the materials in terms of their known structure. The same factors have contributed to our appreciation of the limitations of these assumptions.