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FRICTION, WEAR, LUBRICATION A TEXTBOOK IN TRIBOLOGY K.C Ludema Pr ofessor of Mechanical Engineering The University of Michigan Ann Arbor CRC Press Boca Raton New York London Tokyo ©1996 CRC Press LLC The co ver background is a photograph of a steel surface (light blue) partially covered with streaks of “protective” film due to sliding in engine oil. The image was created by a polarizing interference (Françon) microscope objective (25 × ) with about 40 × further magnification. The graph on the front cover shows that the “protective” film builds up progressively and, if it functions quickly enough, it will prevent scuffing failure of the sliding surface. Acquiring Editor: Norm Stanton Editorial Assistant Jennifer Petralia Project Editor: Gail Renard Marketing Manager: Susie Carlisle Cover design: Denise Craig PrePress: Kevin Luong Manufacturing: Sheri Schwartz Library of Congr ess Cataloging-in-Publication Data Ludema, K.C Friction, wear , lubrication : a textbook in tribology / by K.C Ludema. p. cm. Includes bibliographical references and index. ISBN 0-8493-2685-0 (alk. paper) 1. Tribology. TJ 1075.L84 1996 621.8 ′ 9—dc20 96-12440CIP This book contains information obtained from authentic and highly regarded sources. Reprinted material is quoted with permission, and sources are indicated. A wide variety of references are listed. Reasonable efforts have been made to publish reliable data and information, but the author and the publisher cannot assume responsibility for the validity of all materials or for the consequences of their use. Neither this book nor any part may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, microfilming, and recording, or by any informa - tion storage or retrieval system, without prior permission in writing from the publisher. The consent of CRC Press does not extend to copying for general distribution, for promotion, for creating new works, or for resale. Specific permission must be obtained in writing from CRC Press for such copying. Direct all inquiries to CRC Press, Inc., 2000 Corporate Blvd., N.W., Boca Raton, Florida 33431. © 1996 by CRC Press, Inc. No claim to original U.S. Government works International Standard Book Number 0-8493-2685-0 Library of Congress Card Number 96-12440 Printed in the United States of America 1 2 3 4 5 6 7 8 9 0 Printed on acid-free paper ©1996 CRC Press LLC ABOUT THE AUTHOR K enneth C Ludema is Professor of Mechanical Engineering at the University of Michigan in Ann Arbor. He holds a B.S. degree from Calvin College in Grand Rapids, Michigan, an M.S. and Ph.D. from the University of Michigan, and a Ph.D. from Cambridge University. He has been on the faculty of the University of Michigan since 1962 and has taught courses in materials, manufacturing processes, and tribology. Dr. Ludema, along with his students, has published more than 75 papers, primarily on mechanisms of friction and boundary lubrication. ©1996 CRC Press LLC ABOUT THIS BOOK This book is intended primarily to be used as a te xtbook, written on the level of senior and graduate students with proficiency in engineering or sciences. It is intended to bring everyone who wants to solve problems in friction and wear to the same understanding of what is (and, more important, what is not) involved. Most engineers and scientists have learned a few simple truths about friction and wear, few of which seem relevant when problems arise. It turns out that the “truths” are often too simple and couched too much in the terms of the academic discipline in which they have been taught. This book suggests a different approach, namely, to explore the tribological behavior of systems by well- designed experiments and tests, and to develop your own conclusions. One useful way to control friction and wear is by lubrication , though it is often not the economical way. These three topics together constitute the broad area of tribology. Tribology has many entry points because of its great breadth. The advancement of each of its subtopics requires concentrated effort, and many people spend a satisfying and useful career in only one of them. By contrast, product designers and engineers need to be moderately proficient in all related topics with some understanding of the more specialized topics. THE ST ATUS OF TRIBOLOGY T ribology as a whole lags behind engineering in general in the development of equations, formulae, and methods for general use in engineering design. Indeed, there are some useful methods and equations available, mostly in full film fluid lubrication and contact stress calculations. The reason for the advanced state of these topics is that very few variables are needed to characterize adequately the system under study, namely, fluid properties and geometry in the subject of liquid lubrication, and elastic properties of solids and geometry in contact stress problems. A few more variables are required to estimate the temperature rise of sliding surfaces, but a great number are needed in useful equations for friction and wear. The shortage of good design methods for achieving desired friction and product life virtually always results in postponing these considerations in product develop- ment until mere days before production. By this time the first choice for materials, processes, shapes, and part function is already locked in. The easy problems are solved first, such as product weight, strength, vibration characteristics, production methods, and cost. In the absence of formalized knowledge in friction and wear the engineering community resorts to guesswork, anecdotal information from ven- dors of various products including lubricants and materials, randomly selected accelerated tests done with totally inappropriate bench tests, and general over-design to achieve design goals. That need not be, and it has profound effects: the warranty costs for problems in friction and wear exceed the combined warranty costs for all other causes of product “failure” in the automotive and related industries. ©1996 CRC Press LLC LEARNING TRIBOLOGY T ribology is ultimately an applied art and as such should be based upon, or requires background knowledge in, many topics. It is not a science by itself although research is done in several different sciences to understand the funda- mental aspects of tribology. This, unfortunately, has had the effect of perpetuating (and even splintering) the field along disciplinary lines. One wit has expressed this problem in another sphere of life in the words, “England and America are divided by a common language.” Often people from the various disciplines and the ever-present vendors offer widely different solutions to problems in tribology, which bewilders managers who would like to believe that tribology is a simple and straightforward art. In academic preparation for designing products, most students in mechanical engineering (the seat of most design instruction) have taken courses in such topics as: a. Fluid mechanics b. Elasticity (described as solid mechanics) c. Materials science (survey of atomic structure and the physics of solids) d. Dynamics (mechanical mostly) e. Heat transfer f. Methods of mechanical design. These are useful tools indeed, b ut hardly enough to solve a wide range of problems in friction and wear. Students in materials engineering will have a different set of tools and will gravitate toward those problems in which their proficiencies can be applied. But the complete tribologist will have added some knowledge in the following: g. Plasticity h. Visco-elasticity i. Contact mechanics j. The full range of mechanical properties of monolithic materials, composite materials, and layered structures (coatings, etc.), especially fracture toughness, creep, fatigue (elastic and low cycle) k. Surface chemistry, oxidation, adhesion, adsorption l. Surface-making processes m. Statistical surface topographical characterization methods n. Lubricant chemistry o. and several more. Man y of these topics are addressed in this book, though it would be well for students to consult specialized books on these topics. ©1996 CRC Press LLC THE ORGANIZA TION OF THE BOOK F ollowing are 14 chapters in which insight is offered for your use in solving tribological problems: • Chapter 1 informs you where to find further information on tribology and discusses the four major disciplines working in the field. The ne xt four chapters summarize some of the academic topics that may or should have been a part of the early training of tribologists: • Chapter 2 asserts that friction and wear resistance are separate from the usual mechanical properties of materials and cannot be adequately described in terms of those properties (though many authors disagree). • Chapter 3 discusses atomic structure, atomic energy states, and a few phenom- ena that are virtually always ignored in the continuum approach to modeling of the sliding process (and should not be). • Chapter 4 shows how real surfaces are made and discusses the inhomogeneous nature of the final product. • Chapter 5 is a short summary of the complicated topics of contact mechanics and temperature rise of sliding surfaces, in perspective. Then, four chapters co ver the core of tribology: • Chapter 6 gives a historical account of friction, presenting two major points: a. Causes for the great variability and unpredictability of friction, and b. What is required to measure friction reliably. • Chapter 7 is a synopsis of conventional lubrication — not much, but enough to understand its importance. • Chapter 8 discusses wear and provides an analysis of the many types and mechanisms seen in the technical literature. It discusses the actual events that cause loss of material from a sliding/rolling interface. • Chapter 9 is on chemical aspects of lubrication, where friction, wear, and lubrication converge in such problems as scuffing failure and break-in. The follo wing three chapters discuss methods of solving problems in friction and wear: • Chapter 10 is an analysis of design equations in friction and wear, showing that useful equations require more realistic assumptions than superposition of individual, steady state mechanisms of wear. • Chapter 11 suggests some useful steps in acquiring data on the friction and wear rates of components and materials for the design of mechanical compo - nents, both the technical and human aspects of the effort. • Chapter 12 describes how to diagnose wear problems and lists the attributes of the most common instruments for aiding analysis. ©1996 CRC Press LLC The last tw o chapters cover topics that could have been tucked into obscure corners of earlier chapters, but would have been lost there: • Chapter 13 is on coatings, listing some of the many types of coatings but showing that the nature of wear depends on the thickness of the coating relative to the size of the strain field that results from tribological interaction. • Chapter 14 covers bearings and materials, lightly. A minimum of references has been used in this te xt since it is not primarily a review of the literature. In general, each chapter has a list of primary source books which can be used for historical perspective. Where there is no such book, detailed reference lists are provided. There are problems sets for most of the chapters. Readers with training in mechanics will probably have difficulty with the problems in materials or physics; materialists will have trouble with mechanics; and scientists may require some time to fathom engineering methods. Stay with it! Real problems need all of these disciplines as well as people who are willing to gain experience in solving problems. This book is the “final” form of a set of course notes I have used since 1964. Hundreds of students and practicing engineers have helped me over the years to gain my present perspective on the complicated and fascinating field of tribology. I hope you will find this book to be useful. K en Ludema Ann Arbor, Michigan January 1996 ©1996 CRC Press LLC CONTENTS Chapter 1 The State of Kno wledge in Tribology Available Literature in Tribology Conferences on Friction, Lubrication, and Wear Held in the U.S. The Several Disciplines in the Field of Tribology The Consequences of Friction and Wear The Scope of Tribology References Chapter 2 Strength and Deformation Properties of Solids Tensile Testing (Elastic) Failure Criteria Plastic Failure (Yield Criteria) Transformation of Stress Axes and Mohr Circles (See Problem Set questions 2 a, b, and c) Material Properties and Mohr Circles (See Problem Set questions 2 d and e) Von Mises versus Mohr (Tresca) Yield Criteria Visco-elasticity, Creep, and Stress Relaxation (See Problem Set question 2 f) Damping Loss, Anelasticity, and Irreversibility Hardness (See Problem Set question 2 g) Residual Stress (See Problem Set question 2 h) Fatigue Fracture Toughness Application to Tribology References Chapter 3 Adhesion and Cohesion Properties of Solids: Adsorption to Solids Atomic (Cohesive) Bonding Systems Adhesion Atomic Arrangements: Lattice Systems (See Problem Set question 3 a) Dislocations, Plastic Flow, and Cleavage (See Problem Set question 3 b) Adhesion Energy Adsorption and Oxidation Adsorbed Gas Films (See Problem Set question 3 c) Introduction Introduction ©1996 CRC Press LLC Journals and Periodicals Books Chapter 4 Solid Surf aces Technological Surface Making (See Problem Set question 4 a and b) Residual Stresses in Processed Surfaces (See Problem Set question 4 c) Roughness of Surfaces Final Conclusions on Surface Layers References Chapter 5 Contact of Nonconforming Surfaces and Temperature Rise on Sliding Surfaces Contact Mechanics of Normal Loading (See Problem Set question 5 a) Recovery Upon Unloading (See Problem Set question 5 b) Adhesive Contact of Locally Contacting Bodies Area of Contact (See Problem Set question 5 c) Electrical and Thermal Resistance Surface Temperature in Sliding Contact (See Problem Set question 5 d) Comparison of Equations 5 through 9 Temperature Measurement References Chapter 6 Friction Classification of Frictional Contacts (See Problem Set question 6 a) Early Phenomenological Observations Early Theories Development of the Adhesion Theory of Friction (See Problem Set question 6 b) Limitations of the Adhesion Theory of Friction Adhesion in Friction and Wear and How it Functions Adhesion of Atoms Elastic, Plastic, and Visco-elastic Effects in Friction (See Problem Set question 6 c) Friction Influenced by Attractive Forces Between Bodies (See Problem Set question 6 d) Friction Controlled by Surface Melting and Other Thin Films Rolling Resistance or Rolling Friction ©1996 CRC Press LLC Friction of Compliant Materials and Structures, and of Pneumatic Tires (See Problem Set question 6 e) Influence of Some Variables on General Frictional Behavior Static and Kinetic Friction Tables of Coefficient of Friction Vibrations and Friction Effect of Severe Uncoupled Vibration on Apparent Friction Tapping and Jiggling to Reduce Friction Effects Testing Measuring Systems (See Problem Set questions 6 f and g) (See Problem Set questions 6 h, i, and j) Interaction Between Frictional Behavior and Transducer Response Electrical and Mechanical Dynamics of Amplifier/Recorders (See Problem Set question 6 k) Damping Analysis of Strip Chart Data How to Use Test Data References Chapter 7 Lubrication by Inert Fluids, Greases, and Solids Fundamental Contact Condition and Solution Practical Solution Classification of Inert Liquid Lubricant Films Surface Tension (See Problem Set question 7 a) Hydrostatics Hydrodynamics Shaft Lubrication Hydrodynamics (See Problem Set question 7 b) Tire Traction on Wet Roads (See Problem Set questions 7 c and d) Squeeze Film Lubrication with Grease Lubrication with Solids References Chapter 8 Wear Terminology in Wear History of Thought on Wear Main Features in the Wear of Metals, Polymers, and Ceramics Dry Sliding of Metals Introduction Introduction ©1996 CRC Press LLC [...]... (See Problem Set questions 8 e and f) Wear of Ceramic Materials Abrasion, Abrasive Wear, and Polishing (See Problem Set question 8 g) Erosion Fretting Practical Design References Chapter 9 Lubricated Sliding — Chemical and Physical Effects Introduction Friction in Marginal Lubrication Wear in Marginal Lubrication Boundary Lubrication The Mechanical Aspects of Scuffing (without Chemical Considerations)... Tribologists and Lubrication Engineers, or STLE, (formerly the American Society of Lubrication Engineers, or ASLE), published quarterly, produced Volume 37 in 1994, containing 113 papers, which together with miscellaneous items comprised 882 pages The papers are mostly on lubricant chemistry and solid lubrication with some on hydrodynamics and scuffing STLE also produces the monthly magazine, Lubrication. .. automotive bearings The ASME Wear Control Handbook attempts to unify concepts across lubrication and wear through the simple Archard wear coefficients The others contain great amounts of information, but that information is often not well coordinated among the many authors ©1996 CRC Press LLC CONFERENCES ON FRICTION, LUBRICATION, AND WEAR HELD IN THE U.S Every year there are several conferences Those... following: Journals and Periodicals Wear, published fortnightly by Elsevier Sequoia of Lausanne, Switzerland, produced 11 volumes in 1995 (180 through 190), containing 224 papers, and with indexes, editorials, etc., comprised 2752 pages The papers are mostly on wear and erosion; some discuss contact mechanics; some deal with surface topography; and others are on lubrication, both liquid and solid Journal... Scuffing (without Chemical Considerations) The Λ Ratio The Plasticity Index (See Problem Set questions 9 a and b) Thermal Criteria Scuffing and Boundary Lubrication Experimental Work Further Mechanical Effects of the Boundary Lubricant Layer Dry Boundary Lubrication (See Problem Set question 9 c) Surface Protection When Λ < 1 — Break-in Dynamics of Break-in General Conditions Competing Mechanical and Chemical... OF “TRIBEIN.” THE WORD COMES FROM THE SAME GREEK ROOT AS “TRIBULATION.” A FAITHFUL TRANSLATION DEFINES TRIBOLOGY AS THE STUDY OF RUBBING OR SLIDING THE MODERN AND BROADEST MEANING IS THE STUDY OF FRICTION, LUBRICATION, AND WEAR Tribological knowledge in written form is expanding at a considerable rate, but is mostly exchanged among researchers in the field Relatively little is made available to design... Conference on Tribology It is a week-long conference held in June, at which about 30 talks are given but from which no papers are published Several ad hoc conferences are sponsored on some aspect of friction, lubrication, or wear by ASM, the American Society for Testing and Materials, the American Chemical Society, the Society of Plastics Engineers, the American Ceramic Society, the American Welding Society,... the great charges by the common way of carriage has hitherto rendered impracticable.” As to wear, it has been estimated by various agencies and committees around the world that wear costs each person between $25 and $250 per year (in 1966) depending upon what is defined as wear.1 There are direct manifestations of wear, such as the wearing out of clothing, tires, shoes, watches, etc which individually... other related topics There are several handbooks in tribology, of which the best known are: • The Wear Control Handbook of the ASME, 1977 (Eds W Winer and M Peterson) • The ASLE (now STLE) Handbook of Lubrication, Vol 1, 1978, Vol 2, 1983, published by CRC Press (Ed E.R Booser) • The Tribology Handbook, 1989, published by Halstead Press (Ed M.J Neale) • The ASM (Vol 18) Handbook of Tribology, 1994 (Ed... work is also done on the influence of temperature, solid surface roughness, and fluid rheology on fluid film thickness and viscous drag However, efforts to extend the methods of fluid mechanics to boundary lubrication are not progressing very well 3 Material Science: focus is on the atomic and microscale mechanisms whereby solid surface degradation or alteration occurs during sliding Work in this area is . sliding/rolling interface. • Chapter 9 is on chemical aspects of lubrication, where friction, wear, and lubrication converge in such problems as scuffing failure. FRICTION, WEAR, LUBRICATION A TEXTBOOK IN TRIBOLOGY K.C Ludema Pr ofessor of Mechanical