47969_toc
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ontents 1 1.1 1.2 1.3 1.4 1 5 2 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 Preface Motion and forces at a point of contact Frame of reference Relative motion of the surfaces sliding, rolling and spin Forces tr ansmitted at a point o f contact Surface tractions Examples 1) involute spur gears 2) angular contact ball beaIings Line lording of an elastic hdf-space The elastic half-space Concentrated normal force Concentrated tangential force Distributed normal and tangential tractions Uniform distributions of traction Triangular distributions of traction Displacements specified in t he loaded reglon Indentation by a rigid flat punch Traction parallel to the y axis Point lording of an elmtic half-space Potential functions of Boussinesq and Cerruti Concentrated normal force Pressure applied t o a polygona l reg ion Pres sure applied t o a circular region Pressure applied t o an elliptical region Concentrated tangential force Uniairect ional tangential tractions on elliptical and circular regions M-symmetrical tr ctions Torsional loading w 1 1 3 4 5 6 8 11 11 14 17 18 21 26 28 35 42 45 45 50 53 56 63 68 70 76 80
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Transcript of 47969_toc
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ontents
1
1.1
1.21.31.41 5
22.12.22.32.42.52.62.72.82.9
33.1
3.23.33.43.53.63.7
3.83.9
Preface
Motion and forces at a point of contactFrame of reference
Relative motion of the surfaces sliding, rolling and spinForces transmitted at a point of contactSurface tractionsExamples 1) involute spur gears2) angular contact ball beaIings
Line l o r d i n g of an elastic hdf-spaceThe elastic half-spaceConcentrated normal forceConcentrated tangential forceDistributed normal and tangential tractionsUniform distributions of tractionTriangular distributions of tractionDisplacements specified in the loaded reglonIndentation by a rigid flat punchTraction parallel to the y axis
Point lording of an elmtic half-spacePotential functions of Boussinesq and Cerruti
Concentrated normal forcePressure applied to a polygonal regionPressure applied to a circular regionPressure applied t o an elliptical regionConcentrated tangential forceUniairectional tangential tractions on elliptical andcircular regions
M-symmetrical tr ctionsTorsional loading
w
11
34568
11 11 14 17 18 21 26 28 35 42
45 45
50 53 56 63 68
70
76 80
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on en ts v
4.1
4.2 4 .3
5.15. 2 5.35.4 5.5 5.65.75.85.9
6.16. 2 6.3 6 .4
6.56.6
7.17 .27.3 7.47 .57.6
8.1 8.28.3 8 .48.5 8.6
8 .7 8.8
No n na l con tact of e lasti c sol ids He rt z th e ory G eo m etr y of smo o th n on c onf o rm ing surfa ces in co n tac t
H ertz theo ry o f el astic c ont a ctE las ti c fo und a tio n mo d el
N on -He rtzia n no n nal con tact o ela stic bod iesS tre ss co n dit io ns a t th e ed ge o f co n tact B lu nt w ed ges a nd c o nes Co nfor m ing sur face s In flu e nce of i n terf acia l fric tion A dhes ion b etw een e last ic bo d ies Co n tac t of cylin d ric a l bo d ies A niso trop ic a nd in h om oge n eou s ma teria lsL ayere d so lids plat e s an d sh ellsNu m eri cal m eth o ds
N o rm al co ntac t of i nel astic soli d sOn set o f pla stic y ield C o nta c t o f rig id -pe rfec tly-p lasti c sol idsEl astic -pla st ic i n den tatio n U nlo adin g of a pl astic ind entat ion cyc li c lo adin g an d
res idua l str esse sL ine ar v is coe lasti c ma teria lsN o nlin ear e last icity and cree p
Ta ngen tial lo ad in g a n d s lidin g co n tac tSli d ing of n o nco nfo rmin g el a stic bod iesIncip ient s lid in g o f ela stic b odi esSim ulta neo u s va riati on of no rmal and tang enti a l fo rces O sc il lati n g fo rces T orsi on o f ela stic sphe res in co n tac tSl idin g of rigid- perfe ctly- plast ictic b odi es
ol ling co n tac t o e las ti c bo dies M icro -slip and cree p Fre e ly ro llin g bo dies hav ing d issim ilar elas tic p rope rties Tra c tive roll ing o f el a stic cyli nder s
ol lin g w ith t racti o n a nd s p in o f th re e-d ime n sion al b o die s A b all rolli ng in a co nfo rm in g gr oove T ran sien t be h avi our i n rol ling
El astic fou n dat io n m od el of r olli ng c o nta c tPne uma tic t y res
84 8 4
9 0 1 0 4
107 1 0 711 1
1 1 4 1 19 12 512 9 1 34 136 14 4
15 3 153 1 5 7 17 1
17 9 1 8 419 6
2 0 220 2 2 1 022 0 2 24 2 3 1 23 3
24 224 2246 2 5 225 6 2 68 27 1
2 75277
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on ents vii
9.1
9.29.39.49.51
10.110.210.310.4
11
11.111.211.311.411.511.6
12
12.112.212.312.412.5
313.113.2
13.313.413.5
o W i contact of inelastic bodiesElastic hysteresis
Elastic-plastic mgterials: shakedownRolling of a rigid cylinder on a perfectly plastic half-spaceRolling contact of viscoelastic bodiesRolling friction
Calendering and ubrication
An elastic strip between rollersOnset of plastic flow in a thin stripPlastic rolling of stripLubrication of rollers
Dynamic effects and impactStress waves in solidsDynamic loading of an elastic half-spaceContact resonanceElastic impactInelastic impactTravelling loads high speed sliding and rolling
Thennoelastic contact
IntroductionTemperature distributions in a conducting half-spaceSteady thermoelastic distortion of a half-spaceContact between bodies at different temperaturesFrictional heating and fhermoelastic instability
Rough ourfacaReal and apparent contactContact of regular wavy surfaces
Characteristics of random rough surfacesContact of nominally flat rough surfacesElastic contact of rough curved surfaces
AppendicesCauchy Principal Values of some useful integralsGeometry of smooth nonconfonning surfaces in contactSummary of Hertz elastic contact stress formulaeSubsurface stresses in line contactLinear creep coefficients
References and author index
Subject index
2 842842862953023 06
3 12
3 23 183 203 28
3403403433493513613 69
3 74
3 743753 803 84391
39739739840641416
4 2442542742943 1
43 2
448
