To mechanics of deformation, flow, and fracture

TL;DR

This paper introduces a novel approach to the mechanics of deformation, flow, and fracture based on the property of spontaneous internal energy structuration, providing a more physically accurate model of stressed states in solids and liquids.

Contribution

It presents a new method for modeling the stressed state of solids and liquids, capturing elastic, plastic, flow, and fracture behaviors through internal energy structuration.

Findings

First-time derivation of principal stresses in a torsioned cylindrical bar.

Development of a physically adequate model matching experimental behaviors.

Demonstration of the method on simple bodies under various forces.

Abstract

It is stated in the main in essence new approach to mechanics of the stressed state of the solid body from statistically isotropic material and the homogeneous liquid dynamics. The approach essence is in the detected property of the core-shell spontaneous structurization of internal energy of the solid and liquid bodies in its natural state and under action of external forces. The method elements of construction of physically adequate model of the stressed state of the solid and liquid bodies, reproduced exactly its behavior on the stages of elastic and plastic deformation, flow and fracture, are stated. It is adduced a number of the examples of the stressed state construction of the simple form bodies under action of its tension, compression, torsion and at its contact interaction. For the first time it is adduced structure of the principal - normal - stresses in cylindrical bar under action of the torsion moment. The detected property and the developed method is one of necessary bases for construction of physically adequate mathematical model of the stressed state of the body and fluid in contrast to traditional approach.