Some Second-Order Tensor Calculus Identities and Applications in Continuum Mechanics

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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.

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last seen: 2026-05-19T01:45:01.086888+00:00