INTRODUCTION TO CONTACT MECHANICS
CONTENTS CHAPTER 1 MECHANICAL PROPERTIES OF MATERIALS 11 INTRODUCTION 12 ELASTICITY 121 FORCES BETWEEN ATOMS 122 HOOKE’S LAW 123 STRAIN ENERGY 124 SURFACE ENERGY 125 STRESS 126 STRAIN 127 POISSON’S RATIO 128 LINEAR ELASTICITY (GENERALIZED HOOKE’S LAW) 129 2-D PLANE STRESS, PLANE STRAIN 1210 PRINCIPAL STRESSES 1211 EQUATIONS OF EQUILIBRIUM AND COMPATIBILITY 1212 SAINT-VENANT’S PRINCIPLE 1213 HYDROSTATIC STRESS AND STRESS DEVIATION 1214 VISUALIZING STRESSES 13 PLASTICITY 131 EQUATIONS OF PLASTIC FLOW 14 STRESS FAILURE CRITERIA 141 TRESCA FAILURE CRITERION 142 VON MISES FAILURE CRITERION REFERENCES CHAPTER 2 LINEAR ELASTIC FRACTURE MECHANICS 21 INTRODUCTION 22 STRESS CONCENTRATIONS 23 ENERGY BALANCE CRITERION 24 LINEAR ELASTIC FRACTURE MECHANICS 241 STRESS INTENSITY FACTOR 242 CRACK TIP PLASTIC ZONE 243 CRACK RESISTANCE 244 K1C, THE CRITICAL VALUE OF K1 245 EQUIVALENCE OF G AND K 25 DETERMINING STRESS INTENSITY FACTORS 251 MEASURING STRESS INTENSITY FACTORS EXPERIMENTALLY 252 CALCULATING STRESS INTENSITY FACTORS FROM PRIOR STRESSES 253 DETERMINING STRESS INTENSITY FACTORS USING THE FINITE-ELEMENT METHOD CHAPTER 3 DELAYED FRACTURE IN BRITTLE SOLIDS 31 INTRODUCTION 32 STATIC FATIGUE 33 THE STRESS CORROSION THEORY OF CHARLES AND HILLIG 34 SHARP TIP CRACK GROWTH MODEL 35 USING THE SHARP TIP CRACK GROWTH MODEL CHAPTER 4 STATISTICS OF BRITTLE FRACTURE 41 INTRODUCTION 42 BASIC STATISTICS 43 WEIBULL STATISTICS 431 STRENGTH AND FAILURE PROBABILITY 432 THE WEIBULL PARAMETERS 44 THE STRENGTH OF BRITTLE SOLIDS 441 WEIBULL PROBABILITY FUNCTION 442 DETERMINING THE WEIBULL PARAMETERS 443 EFFECT OF BIAXIAL STRESSES 444 DETERMINING THE PROBABILITY OF DELAYED FAILURE CHAPTER 5 ELASTIC INDENTATION STRESS FIELDS 51 INTRODUCTION 52 HERTZ CONTACT PRESSURE DISTRIBUTION 53 ANALYSIS OF INDENTATION STRESS FIELDS 531 LINE CONTACT 532 POINT CONTACT 533 ANALYSIS OF STRESS AND DEFORMATION 54 INDENTATION STRESS FIELDS 541 UNIFORM PRESSURE 542 SPHERICAL INDENTER 543 CYLINDRICAL ROLLER (2-D) CONTACT 544 CYLINDRICAL ( FLAT PUNCH) INDENTER 545 RIGID CONE CHAPTER 6 ELASTIC CONTACT 61 HERTZ CONTACT EQUATIONS 62 CONTACT BETWEEN ELASTIC SOLIDS 621 SPHERICAL INDENTER 622 FLAT PUNCH INDENTER 623 CONICAL INDENTER 63 IMPACT 64 FRICTION CHAPTER 7 HERTZIAN FRACTURE 71 INTRODUCTION 72 HERTZIAN CONTACT EQUATIONS 73 AUERBACH’S LAW 74 AUERBACH’S LAW AND THE GRIFFITH ENERGY BALANCE CRITERION 75 FLAW STATISTICAL EXPLANATION OF AUERBACH’S LAW 76 ENERGY BALANCE EXPLANATION OF AUERBACH’S LAW 77 THE PROBABILITY OF HERTZIAN FRACTURE 771 WEIBULL STATISTICS 772 APPLICATION TO INDENTATION STRESS FIELD 78 FRACTURE SURFACE ENERGY AND THE AUERBACH CONSTANT 781 MINIMUM CRITICAL LOAD 782 MEDIAN FRACTURE LOAD 79 CONE CRACKS 791 CRACK PATH 792 CRACK SIZE CHAPTER 8 ELASTIC-PLASTIC INDENTATION STRESS FIELDS 81 INTRODUCTION 82 POINTED INDENTERS 821 INDENTATION STRESS FIELD 822 INDENTATION FRACTURE 823 FRACTURE TOUGHNESS 824 BERKOVICH INDENTER 83 SPHERICAL INDENTER CHAPTER 9 HARDNESS 91 INTRODUCTION 92 INDENTATION HARDNESS MEASUREMENTS 921 BRINELL HARDNESS NUMBER 922 MEYER HARDNESS 923 VICKERS DIAMOND HARDNESS 924 KNOOP HARDNESS 925 OTHER HARDNESS TEST METHODS 93 MEANING OF HARDNESS 931 COMPRESSIVE MODES OF FAILURE 932 THE CONSTRAINT FACTOR 933 INDENTATION RESPONSE OF MATERIALS 934 HARDNESS THEORIES CHAPTER 10 ELASTIC AND ELASTIC-PLASTIC CONTACT 101 INTRODUCTION 102 GEOMETRICAL SIMILARITY 103 INDENTER TYPES 1031 SPHERICAL, CONICAL, AND PYRAMIDAL INDENTERS 1032 SHARP AND BLUNT INDENTERS 104 ELASTIC-PLASTIC CONTACT 1041 ELASTIC RECOVERY 1042 COMPLIANCE 1043 THE ELASTIC-PLASTIC CONTACT SURFACE 105 INTERNAL FRICTION AND PLASTICITY CHAPTER 11 DEPTH-SENSING INDENTATION TESTING 111 INTRODUCTION 112 INDENTER 113 LOAD-DISPLACEMENT CURVE 114 UNLOADING CURVE ANALYSIS 115 EXPERIMENTAL AND ANALYTICAL PROCEDURES 1151 ANALYSIS OF THE UNLOADING CURVE 1152 CORRECTIONS TO THE EXPERIMENTAL DATA 116 APPLICATION TO THIN-FILM TESTING CHAPTER 12 INDENTATION TEST METHODS 121 INTRODUCTION 122 BONDED-INTERFACE TECHNIQUE 123 INDENTATION STRESS-STRAIN RESPONSE 1231 THEORETICAL 124 COMPLIANCE CURVES 126 HARDNESS TESTING 1261 VICKERS HARDNESS 1262 BERKOVICH INDENTER 127 DEPTH-SENSING (NANO) INDENTATION 1271 NANOINDENTATION INSTRUMENTS 1272 NANOINDENTATION TEST TECHNIQUES 1273 NANOINDENTATION DATA ANALYSIS 1274 NANOINDENTATION TEST STANDARDS 1232 EXPERIMENTAL METHOD 125 INERT STRENGTH