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Mathematical Foundations

  • John D. Clayton
Chapter
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 177)

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.

Keywords

Covariant Derivative Versus Versus Versus Deformation Gradient Reference Configuration Versus Versus Versus Versus Versus 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.US Army Research LaboratoryRDRL-WMP-BAberdeenUSA

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