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Johnson K.L. Ч Contact mechanics
Johnson K.L. Ч Contact mechanics

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Ќазвание: Contact mechanics

јвтор: Johnson K.L.

јннотаци€:

This treatise is concerned with the stresses and deformation of solid bodies in contact with each other, along curved surfaces which touch initially at a point or along a line. Examples are a railway wheel and rail, or a pair of gear wheel teeth. Professor Johnson first reviews the development of the theory of contact stresses since the problem was originally addressed by H. Hertz in 1882. Next he discusses the influence of friction and the topographical roughness of surfaces, and this is incorporated into the theory of contact mechanics. An important feature is the treatment of bodies which deform plastically or viscoelastically. In addition to stationary contact, an appreciable section of the book is concerned with bodies which are in sliding or rolling contact, or which collide.


язык: en

–убрика: ‘изика/ лассическа€ физика/”пругие среды/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1985

 оличество страниц: 452

ƒобавлена в каталог: 18.06.2005

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
Adhesion between elastic bodies      125Ч129
Amonton's law of friction      204 212
Amonton's law of friction in rolling contact      244 265
Anisotropic materials      134Ч135
Axi-symmetrical elastic stresses      76Ч80
Ball and socket      117
Ball-bearings, Heathcote slip in      268Ч270
Ball-bearings, spin in      8Ч9
Bauchinger effect      184
Bearing area      407
Belt, creep of      245Ч247
Belt, model for tyre      283
Boundary element method      55
Brittle materials, ring cracks in      94 125 178
Calendering      312Ч328
Camber thrust      267 280
Cast iron in contact with steel      110
Cauchy principal value of integrals      27 30 424
Cavity model of indentation      173Ч176
Circular region of elastic half-space, axi-symmetrical tractions on      76Ч80
Circular region of elastic half-space, cyclic loading of      125
Circular region of elastic half-space, general pressure on      63
Circular region of elastic half-space, Hertz pressure on      60Ч63 93Ч94
Circular region of elastic half-space, Hertz traction on      74Ч75
Circular region of elastic half-space, sub-surface shear stress      62 99
Circular region of elastic half-space, torsional loading of      80Ч82
Circular region of elastic half-space, uniform normal displacement of      59Ч60
Circular region of elastic half-space, uniform pressure on      56Ч59
Circular region of elastic half-space, uniform tangential displacement of      71Ч74
Cold rolling      326Ч328
Complementary energy      151
Compliance      220 356
Compliance, effect of roughness on      422Ч423
Conductance      415
Cone, elastic contact of      114
Cone, impact by      353
Cone, plastic indentation by      168Ч169
Conforming contacts      1 114Ч118
Conforming contacts, ball and socket      117
Conforming contacts, numerical method      144Ч149
Conforming contacts, pin joint      116
Conforming contacts, rolling      268Ч270
Contact resonance      see resonance
Cornering force (tyre)      277Ч278 282
Corrugation      350
Creep (material)      186
Creep (material), linear      191
Creep (material), non-linear      196 200
Creep (rolling)      242
Creep (rolling), between strip and rollers      315
Creep (rolling), coefficient (creepage)      255 259 43
Creep (rolling), effect of roughness on      423
Creep (rolling), experiments      251 266
Creep (rolling), linear theory of      257Ч259
Creep (rolling), of elastic belt on pulley      245Ч246
Creep (rolling), of pneumatic tyres      279
Creep (rolling), of railway wheel      264Ч265 268
Creep (rolling), strip theory of      261Ч263
Creep compliance function      185
Curvature, equivalent radius of      85 97
Curvature, principal radius of      85Ч87
Curvature, radius of      85Ч87
Curvature, relative radius of      85Ч87 97
Cyclic loading      224Ч231
Cylinder, contact on flat ends of      111
Cylindrical bodies, compression of      130Ч131
Cylindrical bodies, contact of      99Ч104 129Ч134
Cylindrical bodies, end effects in      132
Cylindrical bodies, onset of yield in      155
Cylindrical bodies, profile for uniform loading of      134
Cylindrical bodies, sub-surface stresses in      134
Damping, vibration      230
Deborah number      304 306 310
Dimensional analysis of contact      89Ч90
Disc machine      8
Distortivity      380 385 387 390
Dundur's theorem      381
Duralumin, ball rolling on steel      251
Duralumin, in contact with steel      110
Edge of contact, stresses at      25Ч26 37 39 107Ч111 214 248
Elastic constants      110
Elastic constants, difference of in rolling contact      246Ч251 315Ч316
Elastic constants, difference of in static contact      110 119Ч125 207Ч209
Elastic constants, plane strain modulus      89 110
Elastic foundation model in elastic rolling      274Ч277
Elastic foundation model in normal contact      104Ч106
Elastic foundation model in viscoelastic rolling      303Ч306
Elastic-plastic indentation      171Ч184
Elastic-plastic indentation, penetration in      179Ч180
Elastic-plastic indentation, pile-up at edge of      178
Elastic-plastic indentation, unloading of      179Ч184
Elastic-plastic rolling contact      286Ч298
Elastohydrodynamic lubrication      331Ч339
Elliptical region of elastic half-space, general pressure on      63 67Ч68
Elliptical region of elastic half-space, general traction on      76
Elliptical region of elastic half-space, Hertz pressure on      65Ч67 95Ч99
Elliptical region of elastic half-space, Hertz traction on      75
Elliptical region of elastic half-space, sub-surface shear stress      67 99
Elliptical region of elastic half-space, torsional loading of      82Ч83
Elliptical region of elastic half-space, uniform normal displacement of      64
Elliptical region of elastic half-space, uniform tangential displacement of      71
End effects in rollers      132Ч134
Equivalent radius of curvature      85 97
Exponential roughness      413Ч415
Finite-element method      55 172
Force at surface of half-space, dynamic (УstepФ)      344Ч345
Force at surface of half-space, harmonic      345Ч346
Force at surface of half-space, high speed travelling      370Ч372
Force at surface of half-space, non-linear material      196Ч198
Force at surface of half-space, normal line      14Ч17
Force at surface of half-space, normal point      50Ч53
Force at surface of half-space, tangential line      17Ч18
Forces at point of contact      4Ч5
Frame of reference      1Ч3
Fretting (fatigue)      26 230
Functional filtering      410 421
Gaussian roughness      407Ч408 410 413
Gears, involute      6 129
Gelatine sphere, adhesion of      128
Glass, in contact with steel      110
Glass, stress waves in      358Ч359
Granular material      231
Grinding, surfaces produced by      397
Hardness      90 157
Hardness, Vickers'      177
Heat source, continuous point      376 381
Heat source, instantaneous line      376
Heat source, instantaneous point      375Ч376
Heat source, moving      377Ч380 382Ч383
Hertz theory      90Ч104
Hertz theory, basic assumptions of      91Ч92
Hertz theory, cylindrical bodies (2-D) for      99Ч104
Hertz theory, effect of roughness on      419Ч420
Hertz theory, general profiles for      95Ч99
Hertz theory, limitations of      99
Hertz theory, solids of revolution for      92Ч95
Hertz theory, summary of formulae      427Ч428
Hot rolling      322Ч326
Hydrodynamic lubrication      328Ч331
Hysteresis, elastic, in contact resonance      350
Hysteresis, elastic, in normal contact      181
Hysteresis, elastic, in rolling contact      284Ч285
Hysteresis, elastic, in tangential contact      227 229
Impact, collinear elastic      351Ч355
Impact, high speed      366
Impact, hypervelocity      367
Impact, longitudinal      341Ч342 359Ч360
Impact, oblique elastic      355Ч358
Impact, plastic      361Ч366
Impact, time of      353 365
Impact, viscoelastic      196 368Ч369
Impedance      346
Imperfect contact      389Ч390
Inhomogeneous materials      134Ч136
Interference fringes (optical)      86 90
Junction growth      235
Kelvin solid      193
Layer, elastic      136Ч142
Line force on half-space, high-speed travelling      370Ч372
Line force on half-space, non-linear elastic      196Ч198
Line force on half-space, normal, elastic      14Ч17
Line force on half-space, tangential, elastic      17Ч18
Lubrication, of elastic cylinders (elastohydrodynamic)      331Ч333
Lubrication, of rigid cylinders      329Ч331
Lubrication, variable viscosity      333Ч339
Maxwell material      186Ч187 191 194Ч196 369
Microslip, between rollers and strip      314
Microslip, cyclic loading, in      224Ч231
Microslip, due to dissimilar materials      121
Microslip, elastic wedge      110
Microslip, flat punch (2-D)      40
Microslip, flat punch, circular planform      80
Microslip, oblique impact, in      356
Microslip, rolling contact, in      242 245 248Ч250 253Ч256 260Ч264
Microslip, tangential loading, in      211 217Ч224
Microslip, torsional loading, in      232Ч233
Microslip, УHeathcote slipФ      269
Microslip, УReynolds' slipФ      247 250
Non-conforming contacts      1
Non-conforming contacts, anisotropic materials with      135
Non-conforming contacts, geometry of      84Ч87 425Ч426
Non-linear creep (material)      196 200
Non-linear elasticity      196
Non-linear elasticity, line contact with      198
Non-linear elasticity, point contact with      199
Numerical methods      144Ч152
Oblique loading      221Ч224
Oscillating forces      224Ч231 345Ч349
Peclet number      378Ч379
Perspex, in contact with steel      110
Perspex, radial cracks in      178
Photoelasticity      22 99 103 112
Photoelasticity, in rolling contact      265
Pin joint      117Ч118 141
Plane strain modulus      89 110
Plastic yield, onset of      153Ч157
Plastic yield, onset of, in cylinders in contact      154
Plastic yield, onset of, in general profiles      155
Plastic yield, onset of, in impact      361
Plastic yield, onset of, in rolling contact      286Ч287
Plastic yield, onset of, in sliding contact      206Ч207
Plastic yield, onset of, in solids of revolution      154
Plastic yield, onset of, in strip between rollers      318Ч320
Plastic yield, onset of, in wedge and cone      155Ч156
Plasticity index      416
Plates, contact with      143
Ploughing      237Ч241
Pneumatic tyres      see tyres
Point force on elastic half-space, dynamic (УstepФ)      344Ч345
Point force on elastic half-space, harmonic      345Ч346
Point force on elastic half-space, normal      50Ч53
Point force on elastic half-space, tangential      68Ч70
Polygonal region of elastic half-space, non-uniform pressure on      55Ч56
Polygonal region of elastic half-space, uniform pressure on      53Ч55
Polynomial profile (2-D)      30Ч32
Potential functions of Boussinesq and Cerruti      45Ч50
Potential functions of Boussinesq and Cerruti, for normal point force      50
Potential functions of Boussinesq and Cerruti, for pressure on elliptical area      63Ч65 98
Potential functions of Boussinesq and Cerruti, for tangential point force      68
Principal value (Cauchy) of integrals      27 30 424
Profilometer      406
Punch, flat (2-D)      35Ч42
Punch, flat, circular planform      59Ч60 71Ч74 80Ч82
Punch, flat, elliptical planform      64 74 82Ч83
Punch, non-linear materials, indentation by      198Ч199
Punch, plastic indentation by      168Ч169
Punch, stresses at the edge of      108
Punch, thermoelastic contact by      390
Railway wheel/rail      264Ч265
Random rough surfaces, characteristics of      406
Random rough surfaces, contact of      411Ч423
Random rough surfaces, exponential height distribution of      413Ч415
Random rough surfaces, Gaussian height distribution of      407Ч408 410 413
Real area of contact      397 400Ч406 414Ч415
Receding contact      141Ч142
Receptance      346
Receptance, functions      347
Rectangular elastic block, in contact with cylinder      131
Rectangular elastic block, in contact with plane      111
Rectangular region, pressure applied to      54Ч55
Relaxation function      185 303Ч304
Residual stresses in normal contact      183Ч184
Residual stresses in rolling contact      295
Resonance, contact      349Ч351 357
Restitution, coefficient of      362Ч365 369
Revolution, solids of      87 92Ч95
Reynolds' equation      329
Reynolds' slip      250
Rigid-perfectly-plastic material      see slip-line fields
Ring cracks in brittle solids      94 125 178
Roller bearings      129
Roller bearings, end effects in      132Ч134
Rollers (rolls), elastic contact of      129Ч134
Rollers (rolls), elastic strip between (calendering)      312Ч318
Rollers (rolls), lubrication of      328Ч339
Rollers (rolls), plastic strip between (rolling)      320Ч328
Rolling creep      see creep
Rolling friction (resistance)      306Ч311
Rolling friction (resistance) due to elastic hysteresis      285 309
Rolling friction (resistance) due to Heathcote slip      269 307
Rolling friction (resistance) due to Reynolds' slip      250 307
Rolling friction (resistance) due to surface roughness      311
Rolling friction (resistance) due to traction and spin      308
Rolling friction (resistance) with elastic-plastic materials      294 309
Rolling friction (resistance) with rigid-plastic materials      299Ч301 309
Rolling friction (resistance) with viscoelastic materials      304Ч305 310
Rolling moment      5 250 269 285 305
Rolling, ball in conforming groove      268Ч270
Rolling, cumulative plastic flow in      292Ч295
Rolling, definition of      3
Rolling, elastic foundation model of      274Ч277
Rolling, free      5 242 246
Rolling, of metal strip      320Ч328
Rolling, supersonic (superseismic)      372Ч373
Rolling, tractive      242 252Ч268
Rolling, transient      270Ч274
Rolling, viscoelastic bodies of      302Ч306
Rolling, with spin      242 256Ч268
Roughness parameter      419
Rubber in contact with steel      110
Rubber in contact with steel, in rolling contact      286
Sampling interval      408Ч411 421
Self-aligning torque (tyre)      278 282
Self-similarity      119 121 161
Separation, adhesive force as a function of      125
Separation, rough surfaces of      412Ч413
Shakedown      286 288
Shakedown, limit in line contact      289
Shakedown, limit in point contact      291
Shakedown, with kinematic hardening      292
Shells, contact with      144
Shot-peening      183 398
Sideslip (tyres)      281
Singular integral equations      29
Singular pressure element      150Ч151
Sliding contact      202Ч210
Sliding, cylinder      204Ч209
Sliding, definition of      3
Sliding, sphere      209Ч210
Sliding, supersonic (superseismic)      372Ч373
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