DOCSLIB.ORG

Nanoscale Surface and Interface Mechanics of Elastic-Plastic Media with Smooth, Patterned, and Rough Surfaces

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
Nanoscale Surface and Interface Mechanics of Elastic-Plastic Media with Smooth, Patterned, and Rough Surfaces UC Berkeley UC Berkeley Electronic Theses and Dissertations Title Nanoscale Surface and Interface Mechanics of Elastic-Plastic Media with Smooth, Patterned, and Rough Surfaces Permalink https://escholarship.org/uc/item/2029b7bf Author Yin, Xi Publication Date 2011 Peer reviewed|Thesis/dissertation eScholarship.org Powered by the California Digital Library University of California Nanoscale Surface and Interface Mechanics of Elastic-Plastic Media with Smooth, Patterned, and Rough Surfaces By Xi Yin A dissertation submitted in partial satisfaction of the requirements for the degree of Doctor of Philosophy in Engineering – Mechanical Engineering in the Graduate Division of the University of California, Berkeley Committee in charge: Professor Kyriakos Komvopoulos, Chair Professor Hari Dharan Professor Ronald Gronsky Spring 2011 Nanoscale Surface and Interface Mechanics of Elastic-Plastic Media with Smooth, Patterned, and Rough Surfaces Copyright © 2011 By Xi Yin Abstract Nanoscale Surface and Interface Mechanics of Elastic-Plastic Media with Smooth, Patterned, and Rough Surfaces by Xi Yin Doctor of Philosophy in Engineering-Mechanical Engineering University of California, Berkeley Professor Kyriakos Komvopoulos, Chair The main objective of this dissertation was to develop both finite element and analytical models of contact, friction, and wear phenomena encountered at the nanoscale. This was achieved by the development of continuum mechanics and discrete dislocation models of the deforming homogeneous or layered media and the use of self-affine (fractal) geometry for the representation of the interface topography. The specific accomplishments of this work are as follows. The contact problem of a rigid flat indenting an elastic-plastic semi-infinite medium with a sinusoidal surface profile was examined in light of a two-dimensional plane-strain finite element analysis. Numerical results of the dimensionless contact pressure, normal approach, average surface rise, center-line-average roughness, peak-to-valley roughness, cavity volume, and ratio of truncated-to-real contact area versus fractional contact area obtained for relatively compliant and stiff elastic-perfectly plastic half-spaces were compared with results obtained from a slip-line plasticity analysis. These results have direct application to metal working processes, such as rolling, and provide insight into the evolution of surface and subsurface contact deformation and asperity interaction of contacting surfaces exhibiting periodic waviness. Mechanical failure of patterned alternating phase-shift mask (APSM) nanostructures due to dynamic pressure loadings caused by megasonic cleaning was examined in the context of simulation results obtained from a two-dimensional plane-strain finite element analysis. A parametric study of the effects of microstructure geometry and loading frequency on the subsurface stress state and mask structural integrity was performed for two typical chromium-quartz APSM patterns. Numerical results elucidate possible failure modes and effect of microstructure dimensions on 1 pattern damage during megasonic cleaning, and have direct implications to the design of extreme ultraviolet lithography masks and optimization of the megasonic cleaning process. Analytical models were developed to study the friction, wear, energy dissipation, and plastic flow of surfaces exhibiting multi-scale roughness in both sliding and normal contacts. A contact mechanics study of friction, energy dissipation, and abrasive wear of a hard and rough (fractal) surface sliding against a soft and smooth substrate was developed based on the slip-line theory of plasticity. The slip-line model yields relationships of the deformation behavior and coefficient of friction of a fully plastic asperity microcontact in terms of the applied normal load and interfacial adhesion. The analysis of the rough surface contact provides insight into the dependence of global friction coefficient, energy dissipated during sliding contact, and abrasive wear rate and wear coefficient on the global interference (total normal load effect), interfacial friction conditions (adhesion effect), fractal parameters (roughness effect), and elastic-plastic material properties (deformation mode effect). Numerical results for representative contact systems illustrate the effects of interfacial adhesion, global interference (total normal load), topography parameters, and material properties on friction coefficient, dissipated frictional energy, and wear rate/coefficient. The dependence of plastic deformation at asperity contacts and wear rate (coefficient) on global interference (total normal load), elastic-plastic material properties, topography (roughness), and work of adhesion of contacting surfaces was examined in a contact mechanics analysis of adhesive wear of rough (fractal) surfaces in normal contact. Loss of materials (wear) was presumed to originate from plastic contacting asperities, accounting for the contribution of interfacial adhesion to the normal load at each asperity microcontact. The effects of material properties, roughness, surface compatibility, and environmental conditions on the adhesive wear rate and wear coefficient were discussed in the context of numerical results for representative contact systems. Plane-strain indentation of a single-crystal semi-infinite medium by a rigid indenter was analyzed by discrete dislocation plasticity. The profile of the rigid indenter was characterized by either a smooth (cylindrical) or a rough (fractal) surface. This is the first contact analysis based on discrete dislocations derived for crystalline materials indented by a surface exhibiting multi-scale roughness. Short-range dislocation interactions were modeled in accord to dislocation constitutive rules, while long-range dislocation interactions were modeled by the elastic stress fields of edge dislocations. Simulation results provided insight into the effects of contact load, dislocation source and obstacle densities, slip-plane orientation and distribution, indenter radius, topography (roughness) of fractal surface, and multi-scale asperity interactions on damage at the onset of yielding (emission of first dislocation dipole) 2 and plasticity evolution represented by the development of dislocation structures. Plastic deformation under the theoretical strength of the material was related to contact size effects. The findings in this dissertation provide fundamental understanding of surface deformation behavior, evolution of subsurface stress field due to contact traction, and tribological characteristics of elastic-plastic media with patterned and rough surface profiles subject to contact and/or surface loadings. The obtained results have direct implications in various industry fields, such as metal working, semiconductor electronics packaging, magnetic storage recording, and microelectromechanical devices. 3 Dedications To my father, mother, and sister for their unconditional love, support, and understanding throughout my life i Table of Contents List of Figures...............................................................................................................v List of Tables .............................................................................................................xvi Acknowledgements...................................................................................................xvii Chapter 1 Introduction ..............................................................................................1 Chapter 2 Finite element analysis of an elastic-perfectly plastic half-space with a sinusoidal surface profile compressed by a rigid plane .........................6 2.1. Introduction....................................................................................................6 2.2. Finite element model of a contacting sinusoidal surface............................7 2.3. Results and discussion .................................................................................10 2.3.1. Apparent contact pressure ......................................................................10 2.3.2. Normal approach....................................................................................13 2.3.3. Surface roughness...................................................................................14 2.3.4. Deformed surface shape and average surface rise ................................14 2.3.5. Cavity volume .........................................................................................17 2.3.6. Ratio of truncated contact area to real contact area..............................17 2.4. Conclusions...................................................................................................20 Chapter 3 Dynamic finite element analysis of failure in alternating phase-shift masks caused by megasonic cleaning...................................................21 3.1. Introduction..................................................................................................21 3.2. Finite element modeling ..............................................................................23 3.3. Results and discussion .................................................................................28 3.4. Conclusions...................................................................................................43 Chapter 4 A slip-line plasticity analysis of sliding friction of rough surfaces exhibiting self-affine (fractal) behavior................................................44
Load more

Recommended publications
  • Contact Mechanics in Gears a Computer-Aided Approach for Analyzing Contacts in Spur and Helical Gears Master’S Thesis in Product Development
    Two Contact Mechanics in Gears A Computer-Aided Approach for Analyzing Contacts in Spur and Helical Gears Master’s Thesis in Product Development MARCUS SLOGÉN Department of Product and Production Development Division of Product Development CHALMERS UNIVERSITY OF TECHNOLOGY Gothenburg, Sweden, 2013 MASTER’S THESIS IN PRODUCT DEVELOPMENT Contact Mechanics in Gears A Computer-Aided Approach for Analyzing Contacts in Spur and Helical Gears Marcus Slogén Department of Product and Production Development Division of Product Development CHALMERS UNIVERSITY OF TECHNOLOGY Göteborg, Sweden 2013 Contact Mechanics in Gear A Computer-Aided Approach for Analyzing Contacts in Spur and Helical Gears MARCUS SLOGÉN © MARCUS SLOGÉN 2013 Department of Product and Production Development Division of Product Development Chalmers University of Technology SE-412 96 Göteborg Sweden Telephone: + 46 (0)31-772 1000 Cover: The picture on the cover page shows the contact stress distribution over a crowned spur gear tooth. Department of Product and Production Development Göteborg, Sweden 2013 Contact Mechanics in Gears A Computer-Aided Approach for Analyzing Contacts in Spur and Helical Gears Master’s Thesis in Product Development MARCUS SLOGÉN Department of Product and Production Development Division of Product Development Chalmers University of Technology ABSTRACT Computer Aided Engineering, CAE, is becoming more and more vital in today's product development. By using reliable and efficient computer based tools it is possible to replace initial physical testing. This will result in cost savings, but it will also reduce the development time and material waste, since the demand of physical prototypes decreases. This thesis shows how a computer program for analyzing contact mechanics in spur and helical gears has been developed at the request of Vicura AB.
    [Show full text]
  • AC Fischer-Cripps
    A.C. Fischer-Cripps Introduction to Contact Mechanics Series: Mechanical Engineering Series ▶ Includes a detailed description of indentation stress fields for both elastic and elastic-plastic contact ▶ Discusses practical methods of indentation testing ▶ Supported by the results of indentation experiments under controlled conditions Introduction to Contact Mechanics, Second Edition is a gentle introduction to the mechanics of solid bodies in contact for graduate students, post doctoral individuals, and the beginning researcher. This second edition maintains the introductory character of the first with a focus on materials science as distinct from straight solid mechanics theory. Every chapter has been 2nd ed. 2007, XXII, 226 p. updated to make the book easier to read and more informative. A new chapter on depth sensing indentation has been added, and the contents of the other chapters have been completely overhauled with added figures, formulae and explanations. Printed book Hardcover ▶ 159,99 € | £139.99 | $199.99 The author begins with an introduction to the mechanical properties of materials, ▶ *171,19 € (D) | 175,99 € (A) | CHF 189.00 general fracture mechanics and the fracture of brittle solids. This is followed by a detailed description of indentation stress fields for both elastic and elastic-plastic contact. The discussion then turns to the formation of Hertzian cone cracks in brittle materials, eBook subsurface damage in ductile materials, and the meaning of hardness. The author Available from your bookstore or concludes with an overview of practical methods of indentation. ▶ springer.com/shop MyCopy Printed eBook for just ▶ € | $ 24.99 ▶ springer.com/mycopy Order online at springer.com ▶ or for the Americas call (toll free) 1-800-SPRINGER ▶ or email us at: [email protected].
    [Show full text]
  • 1 Classical Theory and Atomistics
    1 1 Classical Theory and Atomistics Many research workers have pursued the friction law. Behind the fruitful achievements, we found enormous amounts of efforts by workers in every kind of research field. Friction research has crossed more than 500 years from its beginning to establish the law of friction, and the long story of the scientific historyoffrictionresearchisintroducedhere. 1.1 Law of Friction Coulomb’s friction law1 was established at the end of the eighteenth century [1]. Before that, from the end of the seventeenth century to the middle of the eigh- teenth century, the basis or groundwork for research had already been done by Guillaume Amontons2 [2]. The very first results in the science of friction were found in the notes and experimental sketches of Leonardo da Vinci.3 In his exper- imental notes in 1508 [3], da Vinci evaluated the effects of surface roughness on the friction force for stone and wood, and, for the first time, presented the concept of a coefficient of friction. Coulomb’s friction law is simple and sensible, and we can readily obtain it through modern experimentation. This law is easily verified with current exper- imental techniques, but during the Renaissance era in Italy, it was not easy to carry out experiments with sufficient accuracy to clearly demonstrate the uni- versality of the friction law. For that reason, 300 years of history passed after the beginning of the Italian Renaissance in the fifteenth century before the friction law was established as Coulomb’s law. The progress of industrialization in England between 1750 and 1850, which was later called the Industrial Revolution, brought about a major change in the production activities of human beings in Western society and later on a global scale.
    [Show full text]
  • C: Contact Mechanics, in "Principles and Techniques for Desiging Precision Machines." MIT Phd Thesis, 1999
    C Contact MechanicsI The theory developed by Hertz in 1880 remains the foundation for most contact problems encountered in engineering. It applies to normal contact between two elastic solids that are smooth and can be described locally with orthogonal radii of curvature such as a toroid. Further, the size of the actual contact area must be small compared to the dimensions of each body and to the radii of curvature. Hertz made the assumption based on observations that the contact area is elliptical in shape for such three-dimensional bodies. The equations simplify when the contact area is circular such as with spheres in contact. At extremely elliptical contact, the contact area is assumed to have constant width over the length of contact such as between parallel cylinders. The first three sections present the Hertz equations for these distinct cases. In addition, Section C.4 presents the equations for a sphere contacting a conical socket. Hertz theory does not account for tangential forces that may develop in applications where the surfaces slide or carry traction. Extensions to Hertz theory approximate this behavior to reasonable accuracy. Section C.5 presents the more useful equations. The final section C.6 contains MathcadÔ documents that implement these equations for computer analysis. The Hertz equations are important in the engineering of kinematic couplings particularly if the loads carried are relatively high. For a particular choice of material and contact geometry, the pertinent calculations reduce to families of curves that are convenient for sizing purposes. The typical material used is hardened bearing steel, for example, 52100 steel or 440C stainless steel heat treated to 58-62 Rockwell C.
    [Show full text]
  • Contact Mechanics and Friction
    Contact Mechanics and Friction Valentin L. Popov Contact Mechanics and Friction Physical Principles and Applications 1 3 Professor Dr. Valentin L. Popov Berlin University of Technology Institute of Mechanics Strasse des 17.Juni 135 10623 Berlin Germany [email protected] ISBN 978-3-642-10802-0 e-ISBN 978-3-642-10803-7 DOI 10.1007/978-3-642-10803-7 Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2010921669 c Springer-Verlag Berlin Heidelberg 2010 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover design: WMXDesign GmbH Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com) Dr. Valentin L. Popov studied physics and obtained his doctorate from the Moscow State Lomonosow University. He worked at the Institute of Strength Physics and Materials Science of the Russian Academy of Sciences.
    [Show full text]
  • Introduction the Failure Process
    Introduction The subject of this thesis is the surface damage due to rolling contact fatigue. Surfaces that are repeatedly loaded by rolling and sliding motion may be exposed to contact fatigue. Typical mechanical applications where such contact arises are: gears; cams; bearings; rail/wheel contacts. These components are in general exposed to high contact stresses. Despite the different purposes, they will according to Tallian [1] sooner or later suffer to contact fatigue damage if other failure modes are avoided. Even if the contact stresses may be of the same magnitude for different applications the resulting fatigue damage may vary. This is due to the fact that the contact conditions differ between the applications. The objective with the work was to verify the asperity point load mechanism for surface initiated rolling contact fatigue damage. The main focus has been on surface fatigue damage in spur gears. However, similar surface damage has been found in the other applications as well. The hypothesis was that local surface contacts can be of importance for surface initiated contact damage. The hypothesis can be visualized as local contact between asperities. When two surfaces are brought into contact the real contact area will be smaller than the apparent, this due too the fact that the contact surface is not perfectly smooth. Thus, the asperities will support the contact; see for instance Johnson [2]. The local asperity contacts will introduce stress concentrations, which will change the nominal stress field. A single asperity contact can be viewed as a Boussinesq point contact [2]. For non-conformal mechanical contacts that are susceptible for rolling contact fatigue the nominal stress fields are of Hertzian type.
    [Show full text]
  • Contact Mechanics and Tribology Match
    FEATURE ARTICLE Jeanna Van Rensselar / Contributing Editor Beneath the Why contact mechanics and tribology are a natural match KEY CONCEPTCONCEPTSS • CoContacntact mechanics iiss a sometimes oveoverlookedrlooked bbutut ccriticalritical asaspectpect of ttribology.ribology. • FriFrictionction rereductionduction iiss maximizmaximizeded by lleveragingeveraging the dydynaminamic bbetweenetween ssurfaceurface mmaterialaterial gengineeringg aandnd lublubricationrication genengineering. gineering. g. ••A Atetexturedxtured bbearinbearingg susurfacrface acts ass a lublubricantricant ,reservoirreservoir,, sstoringtoring daandnd ddispens-ispens- ing ththee llubricantubricant directly taatt ththee ppotinintt of ccontactontact wherwheree iitt makes mmostost ssense.ense. 52 • JULY 2015 TRIBOLOGY & LUBRICATION TECHNOLOGY WWW.STLE.ORG surface: Leveraging both disciplines together can yield results neither can achieve alone. WHEN THE THEORY OF CONTACT MECHANICS WAS FIRST DEVELOPED IN 1882, lubricants were not factored into the equation at all. Experts say that may be due to the lack of powerful ana- lytical and numerical tools that necessitated simplicity.1 The omission of lubrication from contact mechanics theory was resolved four years later when Osborne Reynolds developed what is now known as the Reynolds Equation. It describes the pressure distribution in nearly any type of fluid film bearing. WWW.STLE.ORG TRIBOLOGY & LUBRICATION TECHNOLOGY JULY 2015 • 53 Even with that breakthrough, how- WHY IS IT THE STRIBECK CURVE?4 ever, it was decades later before
    [Show full text]
  • Contact Mechanics of Adhesive Beams. Part I: Moderate Indentation. Arxiv:1707.07543V1
    Contact mechanics of adhesive beams. Part I: Moderate indentation. V. S. Punati∗, I. Sharma and P. Wahi Mechanics & Applied Mathematics Group, Department of Mechanical Engineering, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh, India - 208016. Abstract We investigate the contact of a rigid cylindrical punch with an adhesive beam mounted on flexible end supports. Adhesion is modeled through an adhesive zone model. The resulting Fredholm integral equation of the first kind is solved by a Galerkin projection method in terms of Chebyshev polynomials. Results are re- ported for several combinations of adhesive strengths, beam thickness, and support flexibilities characterized through torsional and vertical translational spring stiff- nesses. Special attention is paid to the important extreme cases of clamped and simply supported beams. The popular Johnson-Kendall-Roberts (JKR) model for adhesion is obtained as a limit of the adhesive zone model. Finally, we compare our predictions with preliminary experiments and also demonstrate the utility of our approach in modeling complex structural adhesives. Keywords: contact mechanics; adhesive beams; integral transforms. 1 Introduction Research in patterned adhesives is often motivated by the structures of natural adhe- sives, such as those present in the feet of gekkos; see e.g. Hiller (1976), and Arul and Ghatak (2008). In conventional adhesives, such as thin, sticky tapes, only the top and bottom surfaces are active. However, multiple surfaces may be activated with appropri- ate patterning. With more surfaces participating in the adhesion process the adhesives show increased hysteresis and, so, better performance. One example of a patterned ad- hesive is the structural adhesive shown in Fig.
    [Show full text]
  • Contact Mechanics
    International Journal of Solids and Structures 37 (2000) 29±43 www.elsevier.com/locate/ijsolstr Contact mechanics J.R. Barber a,*, M. Ciavarella b, 1 aDepartment of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, MI 48109-2125, USA bDepartment of Engineering Science, University of Oxford, Parks Road, Oxford, OX1 3PJ, UK Abstract Contact problems are central to Solid Mechanics, because contact is the principal method of applying loads to a deformable body and the resulting stress concentration is often the most critical point in the body. Contact is characterized by unilateral inequalities, describing the physical impossibility of tensile contact tractions (except under special circumstances) and of material interpenetration. Additional inequalities and/or non-linearities are introduced when friction laws are taken into account. These complex boundary conditions can lead to problems with existence and uniqueness of quasi-static solution and to lack of convergence of numerical algorithms. In frictional problems, there can also be lack of stability, leading to stick±slip motion and frictional vibrations. If the material is non-linear, the solution of contact problems is greatly complicated, but recent work has shown that indentation of a power-law material by a power law punch is self-similar, even in the presence of friction, so that the complete history of loading in such cases can be described by the (usually numerical) solution of a single problem. Real contacting surfaces are rough, leading to the concentration of contact in a cluster of microscopic actual contact areas. This aects the conduction of heat and electricity across the interface as well as the mechanical contact process.
    [Show full text]
  • Introduction to Contact Mechanics
    4 Anthony C. Fischer-Cripps Introduction to Contact Mechanics With 93 Figures Springer Contents Series Preface vii Preface ix List of Symbols xvii History xix Chapter 1. Mechanical Properties of Materials 1 1.1 Introduction 1 1.2 Elasticity 1 1.2.1 Forces between atoms 1 7.2.2 Hooke's law 2 1.2.3 Strain energy 4 1.2.4 Surface energy 4 1.2.5 Stress 5 1.2.6 Strain 10 1.2.7 Poisson's ratio 14 1.2.8 Linear elasticity (generalized Hooke's law) 14 1.2.9 2-D Plane stress, plane strain 16 1.2.10 Principal stresses 18 1.2.11 Equations of equilibrium and compatibility 23 1.2.12 Saint-Venant's principle 25 1.2.13 Hydrostatic stress and stress deviation 25 1.2.14 Visualizing stresses 26 1.3 Plasticity 27 1.3.1 Equations of plastic flow 27 1.4 Stress Failure Criteria 28 1.4.1 Tresca failure criterion 28 1.4.2 Von Mises failure criterion 29 References 30 Chapter 2. Linear Elastic Fracture Mechanics 31 2.1 Introduction 31 2.2 Stress Concentrations 31 ^cii Contents 2.3 Energy Balance Criterion 32 2.4 Linear Elastic Fracture Mechanics 37 2.4.1 Stress intensity factor 37 2.4.2 Crack tip plastic zone 40 2.4.3 Crack resistance 41 2.4.4 KIC, the critical value ofK, 41 2.4.5 Equivalence ofG and K. 42 2.5 Determining Stress Intensity Factors 43 2.5.7 Measuring stress intensity factors experimentally 43 2.5.2 Calculating stress intensity factors from prior stresses 44 2.5.3 Determining stress intensity factors using the finite-element method 46 References 48 Chapter 3.
    [Show full text]
  • Contact Mechanics and Elements of Tribology 5Pt Foreword
    Contact Mechanics and Elements of Tribology Foreword Vladislav A. Yastrebov MINES ParisTech, PSL Research University, Centre des Matériaux, CNRS UMR 7633, Evry, France @ Centre des Matériaux February 8, 2016 Outline Acquaintance Questionnaire Course content Historical remark Complexity Notations Questionnaire Please fill in the questionnaire Message to DMS students : Rank all suggested topics1 for your report in the order of decreasing attractiveness Before the lunch one topic will be assigned to everybody On Friday (12/02) you will have 10 minutes to present briefly your topic to other students If you are not a DMS student but would like to follow, you are welcome Basava, Andrei and Paolo will also present rapidly their research projects on 12/02 By Friday (19/02) you will need to send me your report on your topic ( 10 pages in Français/English) ≈ Criteria of evaluation : no plagiarism, scientifically sound report 1or suggest a different one but not related to your master project V.A. Yastrebov 3/10 Course content Lectures : 1 Motivation : industrial applications 2 Contact Mechanics I & II 3 Contact at small scales : surface roughness 4 Computational Contact Mechanics 5 Contact rheology & friction laws 6 Elements of tribology : friction, adhesion, wear 7 Wear and fretting (by Henry Proudhon) 8 Multiphysical problems in contact 9 Your presentations V.A. Yastrebov 4/10 Course content Lectures : 1 Motivation : industrial applications 2 Contact Mechanics I & II 3 Contact at small scales : surface roughness 4 Computational Contact Mechanics 5 Contact rheology & friction laws 6 Elements of tribology : friction, adhesion, wear 7 Wear and fretting (by Henry Proudhon) 8 Multiphysical problems in contact 9 Your presentations Practice : 1 Chalk and blackboard : Boussinesq, Cerruti, Flamant 2 Chalk and blackboard : Hertz contact 3 Computer : rough contact 4 Computer : frictionless and frictional cylindrical contact 5 Computer : elasto-plastic spherical indentation V.A.
    [Show full text]
  • Mechanical Engineering Series
    Mechanical Engineering Series Frederick F. Ling Editor-in-Chief Mechanical Engineering Series A.C. Fischer-Cripps, Introduction to Contact Mechanics, 2nd ed. W. Cheng and I. Finnie, Residual Stress Measurement and the Slitting Method J. Angeles, Fundamentals of Robotic Mechanical Systems: Theory Methods and Algorithms, 3rd ed. J. Angeles, Fundamentals of Robotic Mechanical Systems: Theory, Methods, and Algorithms, 2nd ed. P. Basu, C. Kefa, and L. Jestin, Boilers and Burners: Design and Theory J.M. Berthelot, Composite Materials: Mechanical Behavior and Structural Analysis I.J. Busch-Vishniac, Electromechanical Sensors and Actuators J. Chakrabarty, Applied Plasticity K.K. Choi and N.H. Kim, Structural Sensitivity Analysis and Optimization 1: Linear Systems K.K. Choi and N.H. Kim, Structural Sensitivity Analysis and Optimization 2: Nonlinear Systems and Applications G. Chryssolouris, Laser Machining: Theory and Practice V.N. Constantinescu, Laminar Viscous Flow G.A. Costello, Theory of Wire Rope, 2nd ed. K. Czolczynski, Rotordynamics of Gas-Lubricated Journal Bearing Systems M.S. Darlow, Balancing of High-Speed Machinery W.R. DeVries, Analysis of Material Removal Processes J.F. Doyle, Nonlinear Analysis of Thin-Walled Structures: Statics, Dynamics, and Stability J.F. Doyle, Wave Propagation in Structures: Spectral Analysis Using Fast Discrete Fourier Transforms, 2nd ed. P.A. Engel, Structural Analysis of Printed Circuit Board Systems A.C. Fischer-Cripps, Introduction to Contact Mechanics A.C. Fischer-Cripps, Nanoindentation, 2nd ed. (continued after index) Anthony C. Fischer-Cripps Introduction to Contact Mechanics Second Edition 1 3 Anthony C. Fischer-Cripps Fischer-Cripps Laboratories Pty Ltd. New South Wales, Australia Introduction to Contact Mechanics, Second Edition Library of Congress Control Number: 2006939506 ISBN 0-387-68187-6 e-ISBN 0-387-68188-4 ISBN 978-0-387-68187-0 e-ISBN 978-0-387-68188-7 Printed on acid-free paper.
    [Show full text]