Preprint Article Version 1 This version is not peer-reviewed

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 (doi: 10.20944/preprints201811.0598.v1). Sun, B. Some Second-Order Tensor Calculus Identities and Applications in Continuum Mechanics. Preprints 2018, 2018110598 (doi: 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.

Subject Areas

tensor; gradient; divergence; curl; elasto-plastic deformation

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