Note on kinematics, dynamics, and thermodynamics of plastic glassy media

TL;DR

This paper introduces a unified geometric framework to describe the kinematics, dynamics, and thermodynamics of plastic glassy media, deriving differential equations applicable across liquids, elastic, and plastic solids.

Contribution

It proposes a novel geometric approach that unifies the description of elastic, plastic, and viscous behaviors in glassy media, deriving comprehensive differential equations.

Findings

Unified equations for deformation, flow, and heat transport

Applicable to liquids, elastic, and plastic solids

Provides a comprehensive theoretical framework

Abstract

Unified geometric approach to describing kinematics of elastic and plastic deformations of continuous media is suggested. On the base of this approach we study mechanical deformations, viscous flow, and heat transport in glassy plastic media. As a result we derive appropriate differential equations for these phenomena in a form applicable to liquids, elastic solids, and to plastic solid materials as well.