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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 22))

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Abstract

The local deformation tensor is introduced and is seen to be a frame indifferent tensor field. The continuity equation and various kinematical results are discussed along with related results on rigid transformations. A result is also obtained for the change of integration variable in a certain commonly occurring surface integral.

Mathematics rightly used brings simplicity, coherence, order, and beauty to parts of natural science which formerly seemed complex, disjoint, unrelated, ugly. Mathematical criticism and synthesis can convert dogmas and rules of craft—priestly chants and trade secrets—into simple understanding which can be taught briefly to children.

Truesdell (1979)

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© 1993 Springer Science+Business Media Dordrecht

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Smith, D.R. (1993). Kinematics. In: An Introduction to Continuum Mechanics — after Truesdell and Noll . Solid Mechanics and Its Applications, vol 22. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0713-8_4

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  • DOI: https://doi.org/10.1007/978-94-017-0713-8_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4314-6

  • Online ISBN: 978-94-017-0713-8

  • eBook Packages: Springer Book Archive

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