The Simple Nonpolar Continuum Media. Part II. the Constitutive Equations. Linear Structures

TL;DR

This paper introduces a method using Lie group theory to derive constitutive equations for simple nonpolar continuum media, focusing on linear structures, enhancing the theoretical framework for such materials.

Contribution

It presents a novel approach employing Lie group analysis to formulate constitutive equations for nonpolar continuum media, specifically addressing linear structures.

Findings

Derivation of constitutive equations using Lie group methods

Application to simple nonpolar continuum media

Enhanced understanding of material behavior in linear structures

Abstract

A method for obtaining the constitutive equations for describing the simple nonpolar continuum media is given. The method is based on the theory of Lie groups and on group properties of the differential equations.