Abstract

Fiber breakage process involves heat exchange with the medium and energy dissipation in the form of heat, sound, and light, among others. A purely mechanical treatment is therefore in general not enough to provide a complete description of the process. We have proposed a thermodynamic framework which allows us to identify new alarming signals before the breaking of the whole set of fibers. The occurrence of a maximum of the reversible heat, a minimum of the derivative of the dissipated energy, or a minimum in the stretching velocity as a function of the stretch can prevent us from an imminent breakage of the fibers which depends on the nature of the fiber material and on the load applied. The proposed conceptual framework can be used to analyze how dissipation and thermal fluctuations affect the stretching process of fibers in systems as diverse as single-molecules, textile and muscular fibers, and composite materials.

Highlights

  • When external load/stretch is applied on fiber materials composed of elements with different strength thresholds, weaker elements fail first

  • We are going to introduce some new concepts like thermal bath, irreversible energy dissipation, and entropy production, and we believe that such a framework will help explore some new features of stretching failure behavior in general

  • We have proposed a thermodynamic framework that analyses the role played by dissipation in a fiber stretching process, describes its different stages, and obtains new alarming signals before the whole set of fibers break

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Summary

A Thermodynamic Framework for Stretching Processes in Fiber Materials

Specialty section: This article was submitted to Interdisciplinary Physics, a section of the journal Frontiers in Physics. Fiber breakage process involves heat exchange with the medium and energy dissipation in the form of heat, sound, and light, among others. We have proposed a thermodynamic framework which allows us to identify new alarming signals before the breaking of the whole set of fibers. The occurrence of a maximum of the reversible heat, a minimum of the derivative of the dissipated energy, or a minimum in the stretching velocity as a function of the stretch can prevent us from an imminent breakage of the fibers which depends on the nature of the fiber material and on the load applied. The proposed conceptual framework can be used to analyze how dissipation and thermal fluctuations affect the stretching process of fibers in systems as diverse as singlemolecules, textile and muscular fibers, and composite materials

INTRODUCTION
BACKGROUND
Strength and Stability in a Fiber Bundle Model
Energies in Fiber Bundle Model During Stretching
The Warning Signal of a Catastrophic
THERMODYNAMICS OF STRETCHING PROCESSES
Energetics
Mesoscopic Nonequilibrium
Small Fluctuation Regime
RESULTS AND DISCUSSION
Dynamics and Energetics for Small Fluctuations
Fokker–Planck Approach
Role of the Fluctuations in the Stretching Process
CONCLUSION
DATA AVAILABILITY STATEMENT

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