Tensor Analysis

Yu. I. Dimitrienko
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Yu. I. Dimitrienko: Bauman Moscow State Technical University

Chapter Chapter 6 in Tensor Analysis and Nonlinear Tensor Functions, 2002, pp 347-384 from Springer

Abstract: Abstract Most laws of physics and mechanics are expressed with the help of differential relationships between tensor values. Since these laws must be objective, i.e. they must not depend on the choice of a coordinate system, so differentiation of tensors must take this feature into account. However, the usual partial derivatives of tensor components are not components of a tensor, therefore the operation of special covariant differentiation should be introduced for tensors, and the present chapter is devoted to this.

Keywords: Covariant Derivative; Vector Product; Cylindrical Coordinate System; Deformation Tensor; Spherical Coordinate System (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1007/978-94-017-3221-5_6

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