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Some Second-Order Tensor Calculus Identities and Applications in Continuum Mechanics
Version 1
: Received: 25 November 2018 / Approved: 27 November 2018 / Online: 27 November 2018 (04:00:29 CET)
How to cite: Sun, B. Some Second-Order Tensor Calculus Identities and Applications in Continuum Mechanics. Preprints 2018, 2018110598. https://doi.org/10.20944/preprints201811.0598.v1 Sun, B. Some Second-Order Tensor Calculus Identities and Applications in Continuum Mechanics. Preprints 2018, 2018110598. https://doi.org/10.20944/preprints201811.0598.v1
Abstract
To extend the calculation power of tensor analysis, we introduce four new definition of tensor calculations. Some useful tensor identities have been proved. We demonstrate the application of the tensor identities in continuum mechanics: momentum conservation law and deformation superposition.
Keywords
tensor; gradient; divergence; curl; elasto-plastic deformation
Subject
Physical Sciences, Mathematical Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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