Abstract
Chapter 2 includes notation, definitions, and a number of identities that are applied subsequently in later Chapters of the text. Emphasized are differential- geometric aspects of kinematics of finite deformations, linear connections and covariant differentiation, the deformation gradient of continuum mechanics, time derivatives and rate kinematics, theorems of Gauss and Stokes, and compatibility conditions.
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© 2011 Springer Science+Business Media B.V.
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Clayton, J.D. (2011). Mathematical Foundations. In: Nonlinear Mechanics of Crystals. Solid Mechanics and Its Applications, vol 177. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0350-6_2
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DOI: https://doi.org/10.1007/978-94-007-0350-6_2
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Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-0349-0
Online ISBN: 978-94-007-0350-6
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