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| Preface | |
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| List of Symbols | |
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| History | |
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| Mechanical Properties of Materials | |
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| Introduction | |
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| Elasticity | |
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| Forces between atoms | |
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| Hooke's law | |
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| Strain energy | |
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| Surface energy | |
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| Stress | |
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| Strain | |
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| Poisson's ratio | |
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| Linear elasticity (generalized Hooke's law) | |
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| 2-D Plane stress, plane strain | |
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| Principal stresses | |
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| Equations of equilibrium and compatibility | |
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| Saint-Venant's principle | |
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| Hydrostatic stress and stress deviation | |
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| Visualizing stresses | |
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| Plasticity | |
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| Equations of plastic flow | |
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| Stress Failure Criteria | |
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| Tresca failure criterion | |
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| Von Mises failure criterion | |
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| References | |
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| Linear Elastic Fracture Mechanics | |
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| Introduction | |
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| Stress Concentrations | |
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| Energy Balance Criterion | |
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| Linear Elastic Fracture Mechanics | |
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| Stress intensity factor | |
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| Crack tip plastic zone | |
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| Crack resistance | |
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| K[subscript 1C], the critical value of K[subscript 1] | |
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| Equivalence of G and K | |
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| Determining Stress Intensity Factors | |
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| Measuring stress intensity factors experimentally | |
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| Calculating stress intensity factors from prior stresses | |
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| Determining stress intensity factors using the finite-element method | |
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| References | |
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| Delayed Fracture in Brittle Solids | |
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| Introduction | |
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| Static Fatigue | |
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| The Stress Corrosion Theory of Charles and Hillig | |
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| Sharp Tip Crack Growth Model | |
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| Using the Sharp Tip Crack Growth Model | |
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| References | |
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| Statistics of Brittle Fracture | |
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| Introduction | |
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| Basic Statistics | |
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| Weibull Statistics | |
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| Strength and failure probability | |
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| The Weibull parameters | |
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| The Strength of Brittle Solids | |
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| Weibull probability function | |
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| Determining the Weibull parameters | |
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| Effect of biaxial stresses | |
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| Determining the probability of delayed failure | |
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| References | |
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| Elastic Indentation Stress Fields | |
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| Introduction | |
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| Hertz Contact Pressure Distribution | |
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| Analysis of Indentation Stress Fields | |
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| Line contact | |
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| Point contact | |
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| Analysis of stress and deformation | |
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| Indentation Stress Fields | |
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| Uniform pressure | |
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| Spherical indenter | |
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| Cylindrical roller (2-D) contact | |
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| Cylindrical (flat punch) indenter | |
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| Rigid cone | |
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| References | |
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| Elastic Contact | |
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| Hertz Contact Equations | |
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| Contact Between Elastic Solids | |
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| Spherical indenter | |
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| Flat punch indenter | |
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| Conical indenter | |
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| Impact | |
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| Friction | |
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| References | |
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| Hertzian Fracture | |
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| Introduction | |
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| Hertzian Contact Equations | |
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| Auerbach's Law | |
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| Auerbach's Law and the Griffith Energy Balance Criterion | |
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| Flaw Statistical Explanation of Auerbach's Law | |
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| Energy Balance Explanation of Auerbach's Law | |
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| The Probability of Hertzian Fracture | |
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| Weibull statistics | |
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| Application to indentation stress field | |
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| Fracture Surface Energy and the Auerbach Constant | |
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| Minimum critical load | |
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| Median fracture load | |
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| Cone Cracks | |
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| Crack path | |
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| Crack size | |
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| References | |
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| Elastic-Plastic Indentation Stress Fields | |
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| Introduction | |
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| Pointed Indenters | |
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| Indentation stress field | |
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| Indentation fracture | |
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| Fracture toughness | |
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| Berkovich indenter | |
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| Spherical Indenter | |
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| References | |
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| Hardness | |
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| Introduction | |
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| Indentation Hardness Measurements | |
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| Brinell hardness number | |
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| Meyer hardness | |
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| Vickers diamond hardness | |
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| Knoop hardness | |
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| Other hardness test methods | |
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| Meaning of Hardness | |
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| Compressive modes of failure | |
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| The constraint factor | |
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| Indentation response of materials | |
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| Hardness theories | |
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| References | |
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| Elastic and Elastic-Plastic Contact | |
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| Introduction | |
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| Geometrical Similarity | |
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| Indenter Types | |
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| Spherical, conical, and pyramidal indenters | |
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| Sharp and blunt indenters | |
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| Elastic-Plastic Contact | |
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| Elastic recovery | |
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| Compliance | |
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| The elastic-plastic contact surface | |
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| Internal Friction and Plasticity | |
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| References | |
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| Depth-Sensing Indentation Testing | |
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| Introduction | |
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| Indenter | |
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| Load-Displacement Curve | |
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| Unloading Curve Analysis | |
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| Experimental and Analytical Procedures | |
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| Analysis of the unloading curve | |
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| Corrections to the experimental data | |
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| Application to Thin-Film Testing | |
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| References | |
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| Indentation Test Methods | |
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| Introduction | |
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| Bonded-Interface Technique | |
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| Indentation Stress-Strain Response | |
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| Theoretical | |
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| Experimental method | |
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| Compliance Curves | |
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| Inert Strength | |
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| Hardness Testing | |
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| Vickers hardness | |
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| Berkovich indenter | |
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| Depth-sensing (nano) Indentation | |
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| Nanoindentation instruments | |
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| Nanoindentation test techniques | |
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| Nanoindentation data analysis | |
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| Nanoindentation test standards | |
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| References | |
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| Index | |