A Note on the Objectivity (Rotational Invariance) of the Stored Energy Density in Continuum Physics

Autor: Yang, Jiashi
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: This short note is concerned with the rotational invariance of the stored energy density in continuum physics as a scalar function of a few vectors. A simple derivation is presented for the determination of the general form of the energy density in the case of a two-dimensional space. It is also shown that the general form of the energy density so determined may be further reduced. The three-dimensional case is also discussed.
Databáze: arXiv