Abstract
This section defines tensors as invariant quantities and introduces tensorial operations in absolute notation. Emphasis is given to the definition of some special tensors playing an important role in continuum mechanics. In addition, some useful results such as the definition of the gradient and the divergence of tensors are presented. This section aims to present the mathematical background for an easy understanding of the following sections.
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© 2000 Springer-Verlag Berlin Heidelberg
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Başar, Y., Weichert, D. (2000). Mathematical fundamentals. In: Nonlinear Continuum Mechanics of Solids. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04299-1_1
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DOI: https://doi.org/10.1007/978-3-662-04299-1_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08588-8
Online ISBN: 978-3-662-04299-1
eBook Packages: Springer Book Archive