Self-Similar Law of Energy Release before Materials Fracture

TL;DR

This paper derives a universal law describing energy release in stressed heterogeneous materials from loading to fracture, validated through experiments on composites and other materials, using self-similar approximation theory.

Contribution

It introduces a new analytical law of energy release applicable throughout the entire loading process, based on self-similar approximation theory.

Findings

The law fits experimental data for composites and other materials.

Experimental validation confirms the law's applicability.

Provides a unified description of energy release before fracture.

Abstract

A general law of energy release is derived for stressed heterogeneous materials, being valid from the starting moment of loading till the moment of materials fracture. This law is obtained by employing the extrapolation technique of the self-similar approximation theory. Experiments are accomplished measuring the energy release for industrial composite samples. The derived analytical law is confronted with these experimental data as well as with the known experimental data for other materials.