关于连续物理中存储能量密度的客观性（旋转不变性）的说明

arXiv - PHYS - Classical Physics Pub Date : 2024-08-31 DOI:arxiv-2409.07478

Jiashi Yang

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引用次数: 0

摘要

这篇短文涉及连续物理学中作为几个矢量的标量函数的储能密度的旋转不变性。本文给出了在二维空间中确定能量密度一般形式的简单推导。此外，还讨论了三维空间的情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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arXiv - PHYS - Classical Physics

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