Abstract
The purpose of the present chapter is to provide a systematic introduction of the basic concepts and definitions of the tensors of strains and stress. The presentation begins with a section, in which we briefly present the elements of tensor analysis. Tensor analysis enables one to present in a simple and elegant form the fundamantals of continuum mechanics, and it is used systematically subsequently throughout the book. We then introduce the definition of the tensors of strains and stress, which characterize a continuum, in a reference frame and in an actual frame without any assumptions on the smallness of strains.
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© 2017 Springer International Publishing AG
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Kiselev, S.P., Vorozhtsov, E.V., Fomin, V.M. (2017). Definitions of Continuum Mechanics. In: Foundations of Fluid Mechanics with Applications. Modern Birkhäuser Classics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-66149-0_1
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DOI: https://doi.org/10.1007/978-3-319-66149-0_1
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-66148-3
Online ISBN: 978-3-319-66149-0
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