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.