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Johnson K.L. — Contact mechanics
Johnson K.L. — Contact mechanics



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Íàçâàíèå: Contact mechanics

Àâòîð: Johnson K.L.

Àííîòàöèÿ:

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.


ßçûê: en

Ðóáðèêà: Ôèçèêà/Êëàññè÷åñêàÿ ôèçèêà/Óïðóãèå ñðåäû/

Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö

ed2k: ed2k stats

Ãîä èçäàíèÿ: 1985

Êîëè÷åñòâî ñòðàíèö: 452

Äîáàâëåíà â êàòàëîã: 18.06.2005

Îïåðàöèè: Ïîëîæèòü íà ïîëêó | Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
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Ïðåäìåòíûé óêàçàòåëü
Adhesion between elastic bodies      125—129
Amonton's law of friction      204 212
Amonton's law of friction in rolling contact      244 265
Anisotropic materials      134—135
Axi-symmetrical elastic stresses      76—80
Ball and socket      117
Ball-bearings, Heathcote slip in      268—270
Ball-bearings, spin in      8—9
Bauchinger effect      184
Bearing area      407
Belt, creep of      245—247
Belt, model for tyre      283
Boundary element method      55
Brittle materials, ring cracks in      94 125 178
Calendering      312—328
Camber thrust      267 280
Cast iron in contact with steel      110
Cauchy principal value of integrals      27 30 424
Cavity model of indentation      173—176
Circular region of elastic half-space, axi-symmetrical tractions on      76—80
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      60—63 93—94
Circular region of elastic half-space, Hertz traction on      74—75
Circular region of elastic half-space, sub-surface shear stress      62 99
Circular region of elastic half-space, torsional loading of      80—82
Circular region of elastic half-space, uniform normal displacement of      59—60
Circular region of elastic half-space, uniform pressure on      56—59
Circular region of elastic half-space, uniform tangential displacement of      71—74
Cold rolling      326—328
Complementary energy      151
Compliance      220 356
Compliance, effect of roughness on      422—423
Conductance      415
Cone, elastic contact of      114
Cone, impact by      353
Cone, plastic indentation by      168—169
Conforming contacts      1 114—118
Conforming contacts, ball and socket      117
Conforming contacts, numerical method      144—149
Conforming contacts, pin joint      116
Conforming contacts, rolling      268—270
Contact resonance      see resonance
Cornering force (tyre)      277—278 282
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      257—259
Creep (rolling), of elastic belt on pulley      245—246
Creep (rolling), of pneumatic tyres      279
Creep (rolling), of railway wheel      264—265 268
Creep (rolling), strip theory of      261—263
Creep compliance function      185
Curvature, equivalent radius of      85 97
Curvature, principal radius of      85—87
Curvature, radius of      85—87
Curvature, relative radius of      85—87 97
Cyclic loading      224—231
Cylinder, contact on flat ends of      111
Cylindrical bodies, compression of      130—131
Cylindrical bodies, contact of      99—104 129—134
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      89—90
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      25—26 37 39 107—111 214 248
Elastic constants      110
Elastic constants, difference of in rolling contact      246—251 315—316
Elastic constants, difference of in static contact      110 119—125 207—209
Elastic constants, plane strain modulus      89 110
Elastic foundation model in elastic rolling      274—277
Elastic foundation model in normal contact      104—106
Elastic foundation model in viscoelastic rolling      303—306
Elastic-plastic indentation      171—184
Elastic-plastic indentation, penetration in      179—180
Elastic-plastic indentation, pile-up at edge of      178
Elastic-plastic indentation, unloading of      179—184
Elastic-plastic rolling contact      286—298
Elastohydrodynamic lubrication      331—339
Elliptical region of elastic half-space, general pressure on      63 67—68
Elliptical region of elastic half-space, general traction on      76
Elliptical region of elastic half-space, Hertz pressure on      65—67 95—99
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      82—83
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      132—134
Equivalent radius of curvature      85 97
Exponential roughness      413—415
Finite-element method      55 172
Force at surface of half-space, dynamic (“step”)      344—345
Force at surface of half-space, harmonic      345—346
Force at surface of half-space, high speed travelling      370—372
Force at surface of half-space, non-linear material      196—198
Force at surface of half-space, normal line      14—17
Force at surface of half-space, normal point      50—53
Force at surface of half-space, tangential line      17—18
Forces at point of contact      4—5
Frame of reference      1—3
Fretting (fatigue)      26 230
Functional filtering      410 421
Gaussian roughness      407—408 410 413
Gears, involute      6 129
Gelatine sphere, adhesion of      128
Glass, in contact with steel      110
Glass, stress waves in      358—359
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      375—376
Heat source, moving      377—380 382—383
Hertz theory      90—104
Hertz theory, basic assumptions of      91—92
Hertz theory, cylindrical bodies (2-D) for      99—104
Hertz theory, effect of roughness on      419—420
Hertz theory, general profiles for      95—99
Hertz theory, limitations of      99
Hertz theory, solids of revolution for      92—95
Hertz theory, summary of formulae      427—428
Hot rolling      322—326
Hydrodynamic lubrication      328—331
Hysteresis, elastic, in contact resonance      350
Hysteresis, elastic, in normal contact      181
Hysteresis, elastic, in rolling contact      284—285
Hysteresis, elastic, in tangential contact      227 229
Impact, collinear elastic      351—355
Impact, high speed      366
Impact, hypervelocity      367
Impact, longitudinal      341—342 359—360
Impact, oblique elastic      355—358
Impact, plastic      361—366
Impact, time of      353 365
Impact, viscoelastic      196 368—369
Impedance      346
Imperfect contact      389—390
Inhomogeneous materials      134—136
Interference fringes (optical)      86 90
Junction growth      235
Kelvin solid      193
Layer, elastic      136—142
Line force on half-space, high-speed travelling      370—372
Line force on half-space, non-linear elastic      196—198
Line force on half-space, normal, elastic      14—17
Line force on half-space, tangential, elastic      17—18
Lubrication, of elastic cylinders (elastohydrodynamic)      331—333
Lubrication, of rigid cylinders      329—331
Lubrication, variable viscosity      333—339
Maxwell material      186—187 191 194—196 369
Microslip, between rollers and strip      314
Microslip, cyclic loading, in      224—231
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      242 245 248—250 253—256 260—264
Microslip, tangential loading, in      211 217—224
Microslip, torsional loading, in      232—233
Microslip, “Heathcote slip”      269
Microslip, “Reynolds' slip”      247 250
Non-conforming contacts      1
Non-conforming contacts, anisotropic materials with      135
Non-conforming contacts, geometry of      84—87 425—426
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      144—152
Oblique loading      221—224
Oscillating forces      224—231 345—349
Peclet number      378—379
Perspex, in contact with steel      110
Perspex, radial cracks in      178
Photoelasticity      22 99 103 112
Photoelasticity, in rolling contact      265
Pin joint      117—118 141
Plane strain modulus      89 110
Plastic yield, onset of      153—157
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      286—287
Plastic yield, onset of, in sliding contact      206—207
Plastic yield, onset of, in solids of revolution      154
Plastic yield, onset of, in strip between rollers      318—320
Plastic yield, onset of, in wedge and cone      155—156
Plasticity index      416
Plates, contact with      143
Ploughing      237—241
Pneumatic tyres      see tyres
Point force on elastic half-space, dynamic (“step”)      344—345
Point force on elastic half-space, harmonic      345—346
Point force on elastic half-space, normal      50—53
Point force on elastic half-space, tangential      68—70
Polygonal region of elastic half-space, non-uniform pressure on      55—56
Polygonal region of elastic half-space, uniform pressure on      53—55
Polynomial profile (2-D)      30—32
Potential functions of Boussinesq and Cerruti      45—50
Potential functions of Boussinesq and Cerruti, for normal point force      50
Potential functions of Boussinesq and Cerruti, for pressure on elliptical area      63—65 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)      35—42
Punch, flat, circular planform      59—60 71—74 80—82
Punch, flat, elliptical planform      64 74 82—83
Punch, non-linear materials, indentation by      198—199
Punch, plastic indentation by      168—169
Punch, stresses at the edge of      108
Punch, thermoelastic contact by      390
Railway wheel/rail      264—265
Random rough surfaces, characteristics of      406
Random rough surfaces, contact of      411—423
Random rough surfaces, exponential height distribution of      413—415
Random rough surfaces, Gaussian height distribution of      407—408 410 413
Real area of contact      397 400—406 414—415
Receding contact      141—142
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      54—55
Relaxation function      185 303—304
Residual stresses in normal contact      183—184
Residual stresses in rolling contact      295
Resonance, contact      349—351 357
Restitution, coefficient of      362—365 369
Revolution, solids of      87 92—95
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      132—134
Rollers (rolls), elastic contact of      129—134
Rollers (rolls), elastic strip between (calendering)      312—318
Rollers (rolls), lubrication of      328—339
Rollers (rolls), plastic strip between (rolling)      320—328
Rolling creep      see creep
Rolling friction (resistance)      306—311
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      299—301 309
Rolling friction (resistance) with viscoelastic materials      304—305 310
Rolling moment      5 250 269 285 305
Rolling, ball in conforming groove      268—270
Rolling, cumulative plastic flow in      292—295
Rolling, definition of      3
Rolling, elastic foundation model of      274—277
Rolling, free      5 242 246
Rolling, of metal strip      320—328
Rolling, supersonic (superseismic)      372—373
Rolling, tractive      242 252—268
Rolling, transient      270—274
Rolling, viscoelastic bodies of      302—306
Rolling, with spin      242 256—268
Roughness parameter      419
Rubber in contact with steel      110
Rubber in contact with steel, in rolling contact      286
Sampling interval      408—411 421
Self-aligning torque (tyre)      278 282
Self-similarity      119 121 161
Separation, adhesive force as a function of      125
Separation, rough surfaces of      412—413
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      150—151
Sliding contact      202—210
Sliding, cylinder      204—209
Sliding, definition of      3
Sliding, sphere      209—210
Sliding, supersonic (superseismic)      372—373
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