| Preface | p. ix |
| List of Symbols | p. xvii |
| History | p. xix |
| Mechanical Properties of Materials | p. 1 |
| Introduction | p. 1 |
| Elasticity | p. 1 |
| Forces between atoms | p. 1 |
| Hooke's law | p. 2 |
| Strain energy | p. 4 |
| Surface energy | p. 4 |
| Stress | p. 5 |
| Strain | p. 10 |
| Poisson's ratio | p. 13 |
| Linear elasticity (generalized Hooke's law) | p. 14 |
| 2-D Plane stress, plane strain | p. 16 |
| Principal stresses | p. 18 |
| Equations of equilibrium and compatibility | p. 23 |
| Saint-Venant's principle | p. 24 |
| Hydrostatic stress and stress deviation | p. 25 |
| Visualizing stresses | p. 26 |
| Plasticity | p. 26 |
| Equations of plastic flow | p. 27 |
| Stress Failure Criteria | p. 28 |
| Tresca failure criterion | p. 28 |
| Von Mises failure criterion | p. 29 |
| References | p. 30 |
| Linear Elastic Fracture Mechanics | p. 31 |
| Introduction | p. 31 |
| Stress Concentrations | p. 31 |
| Energy Balance Criterion | p. 32 |
| Linear Elastic Fracture Mechanics | p. 37 |
| Stress intensity factor | p. 37 |
| Crack tip plastic zone | p. 40 |
| Crack resistance | p. 41 |
| K[subscript 1C], the critical value of K[subscript 1] | p. 41 |
| Equivalence of G and K | p. 42 |
| Determining Stress Intensity Factors | p. 43 |
| Measuring stress intensity factors experimentally | p. 43 |
| Calculating stress intensity factors from prior stresses | p. 44 |
| Determining stress intensity factors using the finite-element method | p. 47 |
| References | p. 48 |
| Delayed Fracture in Brittle Solids | p. 49 |
| Introduction | p. 49 |
| Static Fatigue | p. 49 |
| The Stress Corrosion Theory of Charles and Hillig | p. 51 |
| Sharp Tip Crack Growth Model | p. 54 |
| Using the Sharp Tip Crack Growth Model | p. 56 |
| References | p. 59 |
| Statistics of Brittle Fracture | p. 61 |
| Introduction | p. 61 |
| Basic Statistics | p. 62 |
| Weibull Statistics | p. 64 |
| Strength and failure probability | p. 64 |
| The Weibull parameters | p. 66 |
| The Strength of Brittle Solids | p. 68 |
| Weibull probability function | p. 68 |
| Determining the Weibull parameters | p. 69 |
| Effect of biaxial stresses | p. 71 |
| Determining the probability of delayed failure | p. 73 |
| References | p. 75 |
| Elastic Indentation Stress Fields | p. 77 |
| Introduction | p. 77 |
| Hertz Contact Pressure Distribution | p. 77 |
| Analysis of Indentation Stress Fields | p. 78 |
| Line contact | p. 79 |
| Point contact | p. 80 |
| Analysis of stress and deformation | p. 82 |
| Indentation Stress Fields | p. 83 |
| Uniform pressure | p. 84 |
| Spherical indenter | p. 87 |
| Cylindrical roller (2-D) contact | p. 92 |
| Cylindrical (flat punch) indenter | p. 92 |
| Rigid cone | p. 96 |
| References | p. 100 |
| Elastic Contact | p. 101 |
| Hertz Contact Equations | p. 101 |
| Contact Between Elastic Solids | p. 102 |
| Spherical indenter | p. 103 |
| Flat punch indenter | p. 107 |
| Conical indenter | p. 108 |
| Impact | p. 108 |
| Friction | p. 110 |
| References | p. 114 |
| Hertzian Fracture | p. 115 |
| Introduction | p. 115 |
| Hertzian Contact Equations | p. 115 |
| Auerbach's Law | p. 116 |
| Auerbach's Law and the Griffith Energy Balance Criterion | p. 117 |
| Flaw Statistical Explanation of Auerbach's Law | p. 118 |
| Energy Balance Explanation of Auerbach's Law | p. 118 |
| The Probability of Hertzian Fracture | p. 124 |
| Weibull statistics | p. 124 |
| Application to indentation stress field | p. 125 |
| Fracture Surface Energy and the Auerbach Constant | p. 129 |
| Minimum critical load | p. 129 |
| Median fracture load | p. 132 |
| Cone Cracks | p. 133 |
| Crack path | p. 133 |
| Crack size | p. 134 |
| References | p. 135 |
| Elastic-Plastic Indentation Stress Fields | p. 137 |
| Introduction | p. 137 |
| Pointed Indenters | p. 137 |
| Indentation stress field | p. 137 |
| Indentation fracture | p. 141 |
| Fracture toughness | p. 143 |
| Berkovich indenter | p. 145 |
| Spherical Indenter | p. 145 |
| References | p. 149 |
| Hardness | p. 151 |
| Introduction | p. 151 |
| Indentation Hardness Measurements | p. 151 |
| Brinell hardness number | p. 151 |
| Meyer hardness | p. 152 |
| Vickers diamond hardness | p. 153 |
| Knoop hardness | p. 153 |
| Other hardness test methods | p. 155 |
| Meaning of Hardness | p. 155 |
| Compressive modes of failure | p. 156 |
| The constraint factor | p. 157 |
| Indentation response of materials | p. 157 |
| Hardness theories | p. 159 |
| References | p. 173 |
| Elastic and Elastic-Plastic Contact | p. 175 |
| Introduction | p. 175 |
| Geometrical Similarity | p. 175 |
| Indenter Types | p. 176 |
| Spherical, conical, and pyramidal indenters | p. 176 |
| Sharp and blunt indenters | p. 179 |
| Elastic-Plastic Contact | p. 180 |
| Elastic recovery | p. 180 |
| Compliance | p. 183 |
| The elastic-plastic contact surface | p. 184 |
| Internal Friction and Plasticity | p. 186 |
| References | p. 188 |
| Depth-Sensing Indentation Testing | p. 189 |
| Introduction | p. 189 |
| Indenter | p. 189 |
| Load-Displacement Curve | p. 191 |
| Unloading Curve Analysis | p. 192 |
| Experimental and Analytical Procedures | p. 194 |
| Analysis of the unloading curve | p. 194 |
| Corrections to the experimental data | p. 195 |
| Application to Thin-Film Testing | p. 197 |
| References | p. 199 |
| Indentation Test Methods | p. 201 |
| Introduction | p. 201 |
| Bonded-Interface Technique | p. 201 |
| Indentation Stress-Strain Response | p. 203 |
| Theoretical | p. 203 |
| Experimental method | p. 204 |
| Compliance Curves | p. 207 |
| Inert Strength | p. 209 |
| Hardness Testing | p. 212 |
| Vickers hardness | p. 212 |
| Berkovich indenter | p. 214 |
| Depth-sensing (nano) Indentation | p. 215 |
| Nanoindentation instruments | p. 215 |
| Nanoindentation test techniques | p. 215 |
| Nanoindentation data analysis | p. 217 |
| Nanoindentation test standards | p. 217 |
| References | p. 218 |
| Index | p. 219 |
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