A Note on the Objectivity (Rotational Invariance) of the Stored Energy Density in Continuum Physics
Classical Physics
2024-09-13 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2409.07478,
title = {A Note on the Objectivity (Rotational Invariance) of the Stored Energy Density in Continuum Physics},
author = {Jiashi Yang},
journal= {arXiv preprint arXiv:2409.07478},
year = {2024}
}