Integration of Tensors

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

Chapter Chapter 9 in Tensor Analysis and Nonlinear Tensor Functions, 2002, pp 475-492 from Springer

Abstract: Abstract The operation of integration of tensors n Ω(x i ), defined over a domain V of three-dimensional Euclidean space ℝ3, or over a two-dimensional surface Σ, or along a curve L in ℝ3, is of great importance for mechanics and physics. Introduce this operation for tensors with the help of the integration operations for ordinary scalar functions of a scalar argument (in detail, see [44]).

Keywords: Cartesian Coordinate System; Tensor Component; Domain Versus; Closed Contour; Surface Integral (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1007/978-94-017-3221-5_9

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