Kudish / Covitch Modeling and Analytical Methods in Tribology

1. Auflage 2010
ISBN: 978-1-4200-8702-4
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 928 Seiten

Reihe: Modern Mechanics and Mathematics

Improving our understanding of friction, lubrication, and fatigue, Modeling and Analytical Methods in Tribology presents a fresh approach to tribology that links advances in applied mathematics with fundamental problems in tribology related to contact elasticity, fracture mechanics, and fluid film lubrication. The authors incorporate the classical tenets of tribology while providing new mathematical solutions that address various shortcomings in existing theories.

From contact interactions to contact fatigue life, the book connects traditionally separate areas of tribology research to create a coherent modeling methodology that encompasses asymptotic and numerical techniques. The authors often demonstrate the efficacy of the models by comparing predictions to experimental data. In most cases, they derive equations from first principles. They also rigorously prove problem formulations and derive certain solution properties. Solutions to problems are presented using simple analytical formulas, graphs, and tables. In addition, the end-of-chapter exercises highlight points important for comprehending the material and mastering the appropriate skills.

Unlocking the secrets that govern the physics of lubricated and dry contacts, this book helps tribologists on their quest to reduce friction, minimize wear, and extend the operating life of mechanical equipment. It provides a real-world industrial perspective so that readers can attain a practical understanding of the material.

Zielgruppe

Researchers, practitioners, and advanced undergraduate and graduate students in tribology, engineering, and applied mathematics.

Autoren/Hrsg.

Kudish, Ilya I.

Covitch, Michael Judah

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau Tribologie

Inhaltsverzeichnis

Basics of Asymptotic Expansions and Methods
Introduction
Ordering, Order Sequences, and Asymptotic Expansions
Asymptotic Sequences and Expansions
Asymptotic Methods

Contact Problems for Coated and Rough Surfaces
Introduction
Some Classic Results for Smooth Elastic Solids
Spatial Rough Contacts Modeled by Nonlinear Coating
Asymptotic Analysis of Plane Rough Contacts
Numerical Methods and Results for Rough Contacts
Analysis of Axially Symmetric Rough Contacts
An Example of an Application to Roller Bearings
Closure

Contact Problems with Friction
Introduction
Plane Frictional Contacts with Fixed Boundaries
Plane Frictional Contacts with Free Boundaries
Plane Frictional Rough Contacts Modeled by Nonlinear Coating
Asymptotic and Numerical Analysis for Large Roughness
Closure

Rheology of Lubricating Oils
Introduction
Rheology Relationships for Lubricating Oils
Polymer Thickening and Shear Stability
Closure

Properties of Multi-Grade Lubricating Oils
Introduction
Multi-Grade Lubricating Oils
Viscosity Modifiers
Closure

Degradation of Linear Polymers
Introduction
Kinetic Equation for Degrading Linear Polymers
Probability of Scission of Linear Polymer Molecules
Conditional Probability of Scission for Linear Polymers
Lubricant Viscosity and Polymeric Molecules
Some Properties of the Kinetic Equation
A Limiting Case of the Kinetic Equation
Numerical Method for the Kinetic Equation
Numerical Solutions of the Kinetic Equation
Closure

Degradation of Star Polymers
Introduction
System of Kinetic Equations for Star Polymers
Probabilities of Scission
Forming Star Polymeric Molecules
Approximation of Star Polymer Initial Distribution
Lubricant Viscosity and Polymer Distribution
Some Properties of the System of Kinetic Equations
Numerical Method for Kinetic Equations
Numerical Results for Lubricants with Star Polymers
Closure

Review of Data on Contact Fatigue
Introduction
Contact and Residual Stresses
Material Defects and Lubricant Contamination
Bearing Fatigue Life and Contact Friction
Crack Development and Material Microstructure
Some Contemporary Contact Fatigue Models
Closure

Fracture Mechanics and Contact Fatigue
Introduction
Modeling the Vicinity of Crack Tips
Perturbations for Multiple Cracks in a Half-Plane
Contact Problem for a Cracked Elastic Half-Plane
Directions of Fatigue Crack Propagation
Lubricant-Crack Interaction: Origin of Fatigue
Two-Dimensional Statistical Model of Contact Fatigue
Analysis of the Pitting Model
Contact Fatigue of Rough Surfaces
Three-Dimensional Model of Contact Fatigue
Contact Fatigue of Radial Thrust Bearings
Closure

Analysis of Fluid Lubricated Contacts
Introduction
Simplified Navier–Stokes and Energy Equations
Lightly Loaded Lubrication Regimes
Pre-Critical Lubrication Regimes
Compressible Fluids in Heavily Loaded Contacts
Over-Critical Lubrication Regimes
Numerical Solution for EHL Contacts
Numerical Solution of Asymptotic Equations
Analysis of EHL Contacts for Soft Solids
Thermal EHL Problems
Regularized Solution of Asymptotic Problems
Regularization of the Isothermal EHL Problem
Numerical Validation of the Asymptotic Analysis
Practical Use of the Asymptotic Solutions
Approximations for Non-Newtonian Fluids
TEHL Problems for Non-Newtonian Lubricants
Regularization for Non-Newtonian Fluids
Friction in Heavily Loaded Lubricated Contacts
Closure

Lubrication by Greases
Introduction
Formulation of the EHL Problems for Greases
Properties of the Problem Solution for Greases
Greases in a Contact of Rigid Solids
Regimes of Grease Lubrication without Cores
Closure

Lubricant Degradation in EHL Contacts
Introduction
EHL for Degrading Lubricants
Lubricant Flow Topology
Numerical Method for EHL Problems
Solutions for Lubricants without Degradation
EHL Solutions for Lubricants with Degradation
Lubricant Degradation and Contact Fatigue
A Qualitative Model of Lubricant Life
Closure
Non-Steady and Mixed Friction Problems
Introduction
Properly Formulated Non-Steady EHL Problems
Non-Steady Lubrication of a Journal Bearing
Starved Lubrication and Lubricant Meniscus
Formulation and Analysis of a Mixed Lubrication Problem
Dry Narrow Contact of Elastic Solids
Closure
Index
Exercises and Problems appear at the end of each chapter.

Über Autor(innen)

Ilya I. Kudish is a mathematics professor at Kettering University in Flint, Michigan. Dr. Kudish is a Fellow of the American Society of Mechanical Engineers (ASME) and Associate Editor of the ASME Journal of Tribology.
Michael J. Covitch is a Senior Fellow at the Lubrizol Corporation in Wickliffe, Ohio. Dr. Covitch is the Secretary of the Society of Automotive Engineers (SAE) Engine Oil Viscosity Classification task force and a recipient of the SAE Excellence in Oral Presentation and Forest R. McFarland awards.