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• W2770777029 abstract "In the three-dimensional space there are different definitions for the dot and cross products of a vector with a second-order tensor. In this paper we show how these products can uniquely be defined for the case of symmetric tensors. We then decompose a symmetric second-order tensor into its 'dot' part, which involves the dot product, and the 'cross' part, which involves the cross product. For some physical applications, this decomposition can be interpreted as one in which the dot part identifies with the 'parallel' part of the tensor and the cross part identifies with the 'perpendicular' part. This decomposition of a symmetric second-order tensor may be suitable for undergraduate courses of vector calculus, mechanics and electrodynamics." @default.
• W2770777029 created "2017-12-04" @default.
• W2770777029 creator A5023817197 @default.
• W2770777029 date "2018-03-09" @default.
• W2770777029 modified "2023-10-02" @default.
• W2770777029 title "Decomposition of a symmetric second-order tensor" @default.
• W2770777029 cites W32718995 @default.
• W2770777029 doi "https://doi.org/10.1088/1361-6404/aa9c9d" @default.
• W2770777029 hasPublicationYear "2018" @default.
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