The Simple Nonpolar Continuum Media. Part I. the Equivalence Transformation

TL;DR

This paper explores the equivalence transformation in nonpolar continuum media, providing a foundational approach to relate different constitutive equations in continuum physics.

Contribution

It introduces a novel equivalence transformation framework for nonpolar continuum media, enhancing the understanding of their constitutive relations.

Findings

Establishes a mathematical basis for equivalence transformations

Simplifies the analysis of continuum media behavior

Provides insights into the structure of constitutive equations

Abstract

In the realm of Continuum Physics, material bodies are realized as continous media and so-called extensive quantities, such as mass, momentum and energy, are monitored through the fields of their densities, which are related by balance laws constitutive equations.