1st Edition

Friction-Induced Vibrations and Self-Organization
Mechanics and Non-Equilibrium Thermodynamics of Sliding Contact

ISBN 9781466504011
Published August 9, 2013 by CRC Press
333 Pages 11 Color & 102 B/W Illustrations

USD $290.00

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Book Description

Many scientists and engineers do not realize that, under certain conditions, friction can lead to the formation of new structures at the interface, including in situ tribofilms and various patterns. In turn, these structures—usually formed by destabilization of the stationary sliding regime—can lead to the reduction of friction and wear. Friction-Induced Vibrations and Self-Organization: Mechanics and Non-Equilibrium Thermodynamics of Sliding Contact combines the mechanical and thermodynamic methods in tribology, thus extending the field of mechanical friction-induced vibrations to non-mechanical instabilities and self-organization processes at the frictional interface. The book also relates friction-induced self-organization to novel biomimetic materials, such as self-lubricating, self-cleaning, and self-healing materials.

Explore Friction from a Different Angle—as a Fundamental Force of Nature

The book begins with an exploration of friction as a fundamental force of nature throughout the history of science. It then introduces general concepts related to vibrations, instabilities, and self-organization in the bulk of materials and at the interface. After presenting the principles of non-equilibrium thermodynamics as they apply to the interface, the book formulates the laws of friction and highlights important implications. The authors also analyze wear and lubrication. They then turn their attention to various types of friction-induced vibration, and practical situations and applications where these vibrations are important. The final chapters consider various types of friction-induced self-organization and how these effects can be used for novel self-lubricating, self-cleaning, and self-healing materials.

From Frictional Instabilities to Friction-Induced Self-Organization

Drawing on the authors’ original research, this book presents a new, twenty-first century perspective on friction and tribology. It shows how friction-induced instabilities and vibrations can lead to self-organized structures, and how understanding the structure–property relationships that lead to self-organization is key to designing "smart" biomimetic materials.

Table of Contents

Introduction: Friction as a Fundamental Force of Nature in the History of Mechanics
Historical Background
Certain Philosophical Concepts of Mechanics
Hilbert’s Sixth Problem
Noll’s Axiomatic Mechanics
P. Zhilin’s Approach
The Study of Friction

Vibrations and Stability at the Bulk and at the Interface
Linear Vibrations in Systems with Single, Multiple, and Infinite Number of Degrees of Freedom
Stability Analysis
Non-Linear Vibration and Stability Analysis
Bifurcations, Catastrophes, and Chaos
Multi-Scale Systems
Self-Organization: Different Types
Example: Benard Cells
Self-Organization in Tribology
Asymptotic Transition from a 3D (Bulk) to a 2D (Interface) System

Principles of Non-Equilibrium Thermodynamics and Friction
Thermodynamic Potentials and Equations
Irreversible Processes and Non-Equilibrium
Extremal Principles and Stability of Frictional Motion
Stability Criterion for Frictional Sliding

Fundamentals of Friction
Empirical Laws of Friction
Mechanisms of Friction
Non-Linear Character of Friction
Thermodynamics of Friction

Wear and Lubrication
Mechanisms of Wear
Empirical Laws of Wear
Thermodynamics of Wear: Entropy Generation and Degradation
Lubricated Contact

Friction-Induced Instabilities and Vibrations
Mechanics of Elastic Contact and Stability of Frictional Sliding
Velocity Dependency of Coefficient of Friction and Stability Criterion
Thermoelastic Instabilities
Adams–Martins Instabilities
Radiation of Elastic Waves by Friction
Interaction of Elastic Waves with Friction
Friction Reduction and Self-Organized Patterns due to Friction-Induced Vibrations

Friction-Induced Vibrations and Their Applications
Brakes and Vehicles
Music and Sound Generation

From Frictional Instabilities to Friction-Induced Self-Organization
Self-Organization, Instabilities, and Friction
Stability of Frictional Sliding with Coefficient of Friction Dependent on Temperature
Running-In as a Self-Organized Process
Frictional Turing Systems
Modeling of the Formation of Tribofilms
Stick–Slip Motion and Self-Organization

Principles of Self-Healing and Self-Lubricating Materials
Various Approaches to Self-Lubrication



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Michael Nosonovsky is an assistant professor at the University of Wisconsin-Milwaukee. He received his M.Sc. from St. Petersburg Polytechnic University, Russia, and his Ph.D. in mechanical engineering from Northeastern University, Boston. He has also worked at Ohio State University and the National Institute of Standards and Technology. Michael’s interests include biomimetic surfaces, capillary effects, nanotribology, and friction-induced self-organization.

Vahid Mortazavi is a doctoral student at the University of Wisconsin-Milwaukee. He received his M.Sc. from Tarbiat Modares University in Tehran, Iran. Vahid’s research interests include friction, tribology, and heat transfer.


"The approach when friction is treated as a fundamental force of nature is definitely novel and very general. The relationship between friction-induced instabilities and friction-induced self-organization discussed in the book is an important topic ... . Much progress has been achieved in the field in the last decade and the book, reviewing the state of the art in the field, will be useful for a broad range of experts in the field of tribology. I also should emphasize the detailed treatment of self-healing materials in the book in the context of tribology, which is one of the hottest topics in the modern material science."
—Edward Bormashenko, Ariel University, Israel

"The book by Nosonovsky and Mortazavi presents a novel and intriguing approach to the studies of friction. The authors start with basic principles of non-linear dynamics and self-organization and apply them for analysis of friction in a daring attempt to deduce this phenomenon from general thermodynamics of non-equilibrium states. The authors succeeded to achieve clear and deep theory that, in particular, provides an interpretation of the events observed in recent experiments and explains a wide class of effects induced by friction."
—Eugene Kagan, The Weizmann Institute of Science, Israel

"While friction has been a largely discussed topic in different fields of science and engineering, there are lots of theoretical and practical questions that remain unanswered. This book takes a new theoretical approach in relating friction to very fundamental laws of nature. Hence, the book tries to show how real practical cases work under such theoretical observations. The book shows a very interesting combination of theoretical observations and practical necessities."
—Pradeep L. Menezes, University of Wisconsin-Milwaukee, USA