Knot Theory and the Problem of Classification for Plastic State

TL;DR

This paper introduces a novel model for plastic deformation using knot theory to classify different plastic states, offering a new mathematical approach to understanding material behavior.

Contribution

It presents a new model of plastic deformation that applies knot theory for classifying plastic states, a novel interdisciplinary approach.

Findings

Knot theory effectively classifies plastic states.

New mathematical model for plastic deformation.

Potential for improved material behavior analysis.

Abstract

In this paper we constructed new model of plastic deformation. The knot theory was used to classify the plastic state.