Abstract
The elastic properties of materials relate the applied stress tensor to the resulting strain tensor via the stiffness tensor or its inverse, the compliance tensor. They are the topics of Chaps. 11, 12 and 13. In the present chapter, the stress tensor at a point in the material is defined. The basic relations which must be verified by its spatial derivatives are then determined, and they lead to the condition that this tensor must be symmetric.
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References
D. Calecki, Physique des milieux continus, vol. 1, Mécanique et thermodynamique (Hermann, Paris, 2007)
L.D. Landau and E.M. Lifshitz, Course of Theoretical Physics, vol. 7, Theory of Elasticity, 3rd edn. (Elsevier, Oxford, 1986)
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© 2014 Springer Science+Business Media Dordrecht
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Malgrange, C., Ricolleau, C., Schlenker, M. (2014). The stress tensor. In: Symmetry and Physical Properties of Crystals. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-8993-6_11
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DOI: https://doi.org/10.1007/978-94-017-8993-6_11
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Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-017-8992-9
Online ISBN: 978-94-017-8993-6
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