Table Of ContentTRIBOLOGY SERIES, 25 
THIN FILMS IN 
TRIBOLOGY 
edited by 
D. DOWSON, C. M.TAYLOR,T. H. C. CHILDS, M. GODETand G. DALMAZ 
Proceedings of the 19th Leeds-Lyon Symposium on Tribology 
held at the Institute of Tribology, University of Leeds, U.K. 
- 
8th  11th September 1992 
E LSEVlE  R 
Amsterdam -London -New York -Tokyo  1993 
For the Institute of Tribology, Leeds University 
and 
The lnstitut National des Sciences Appliquees de Lyon
ELSEVIER SCIENCE PUBLISHERS B.V. 
Sara Burgerhartstraat 25 
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Library of  Congress Cataloging-ln-Publlcatlon Data 
Leeas-Lyon Symposlum on Tribology (19th  1992  Unlverslty of Leeds) 
Thln films in trlbology  proceedings of the 19th Leeds-Lyon 
Symposium on Trlbology held at the Institute of Tribology. 
University of Leeds. U.K.  8th-11th September 1992 /  edited by D. 
... 
Dowsopn.   cn[.e t- -a l.(1T.r lbology series . 25) 
Includes bibliographical references. 
ISBN 0-444-89789-5 lalk. paper1 
1.  Trlbology--Congresses.  2. Thin fllms--Congresses.  I. Dowson. 
D.  11. University of Leeds.  Institute of Tribology.  111. Institut 
national des sciences appliquies de Lyon.  IV. Title.  V. Series. 
TJ1075.AZL43  1992 
621.8'9--dC20  93-5673 
CIP 
ISBN 0444 89789 5 (Vol 25) 
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V 
INTRODUCTION 
The nineteenth Leeds-Lyon Symposium on Tribology was held at Bodington Hall, University of Leeds, from 8th 
to 11th September 1992. The focus of the meeting and its title was 'Thin Films in Tribology'. Some one 
hundred and fifty delegates from twenty countries gathered to listen to and discuss seventy papers presented in 
nineteen sessions. This number of papers is an increase on numbers at previous meetings and indicates the 
continuing popularity of the Symposium. 
It was again pleasant to welcome Professor Maurice Godet and a group from our sister institution, INSA de 
Lyon. On this occasion we  also particularly welcomed Professor K L  Johnson from the University of 
Cambridge, both to mark our respect for his wide-ranging achievements in tribology and on his retirement, and 
as Guest of Honour and after dinner speaker at the Queens Hotel, Leeds: these Proceedings are dedicated to 
him. 
The nineteenth Symposium was special for another reason too, as the last occasion on which Professor Duncan 
Dowson, co-founder with Maurice Godet of the Symposia, could attend the Symposium at Leeds as a serving 
member of staff. In addition to the traditional Thursday afternoon tour which this year was to Chatsworth 
House and The Abbeydale Industrial Museum and culminated with dinner and a display of the silver at the 
Cutlers' Hall, Sheffield, the UK  champion Grimethorpe Colliery Brass Band was invited to play in the 
University's Parkinson Court on the Wednesday evening. One could well believe that the walls of Jericho once 
fell to trumpet blasts, although it must be reported that Leeds survived. 
Professor Dowson's impending retirement to some extent determined the theme of the meeting. From Victorian 
days when working lubricant films were calculated in tens of micrometres, to today when molecular dynamics 
simulations and even experiments are beginning to look at nanometre, single molecule thick, films, the study of 
surfaces which is the tribologists' challenge has moved to finer and finer scales. It was felt appropriate to invite 
reviews from across the tribological field with thin films as their theme. Thus, in addition to the Keynote 
Lecture, delivered by Professor Dowson on Thin Films in Tribology, most halfday working periods were 
started by an invited review session. The meeting finished with a panel discussion. We would like to thank the 
following for their reviews and panel contributions: K L Johnson, T Bell, C M Myllerup and B J Hamrock, H S 
Cheng, T H C Childs, H A Spikes, M 0 Robbins, R C Coy, M Godet and B Jacobson. 
The further working sessions of the Symposium were as lively as ever, concentrating on contact, friction and 
traction (session 3),  coatings and surface modification (Sessions 4 and 12), analysis and design of highly 
stressed components (Session 5), elastohydrodynamics (Sessions 7 and  ll), lubricated wear (Session 8), 
Hardness and metal cutting (Session 9), molecular scale thin films (Session 13), bio-tribology (Sessions 15 and 
18), compliant surfaces (Session 16) and coating wear (Session 17). We would like to thank the Chairmen of 
Sessions and the papers' authors, as recorded in these proceedings, for the success of the Symposium. 
To mount such a Symposium in an effective style needs the help of many and we would like to record sincere 
appreciation of the great contribution of ours colleagues - Mrs Cath Goulbourn, Mr Ron Harding, Mr Brian 
Jobbins, Mr David Jones, Mrs Sheila Moore, our technicians and research fellow/research students.  It is once 
again a pleasure to record our thanks to Elsevier Science Publishers B.V., Amsterdam for their impressive 
production of the volume of proceedings. We were fortunate, as in the past, to attract the financial support of a 
numkr of concerns, support which helps to encourage younger researchers to attend the meeting and reduce 
the registration fee. We gratefully acknowledge the following organisations in this regard.
vi 
BP International Ltd 
Castrol Ltd 
Mitchell Bearings 
Shell Thornton Research Centre 
SKF Engineering and Research Centre 
US Army Research, Development and Standardisation Group (UK) 
The wide range of topics covered by the Leeds-Lyon series of tribology symposia is evidenced by the following 
sequential list:- 
1974  Cavitation and Related Phenomena in Lubrication 
1975  Super Laminar Flow in Bearings 
1976  The Wear of Non-Metallic Materials 
1977  Surface Roughness Effects in Lubrication 
1978  Elastohydrodynamics and Related Topics 
1979  Thermal Effects in Tribology 
1980  Friction and Traction 
1981  The Running-In Process in Tribology 
1982  Tribology of Reciprocating Engines 
1983  Numerical and Experimental Methods in Tribology 
1984  Mixed Lubrication and Lubricated Wear 
1985  Mechanisms and Surface Distress 
- 
1986  Fluid Film Lubrication  Osborne Reynolds Centenary 
1987  Interface Dynamics 
1988  The Tribological Design of Machine Elements 
1989  Mechanics of Coatings 
1990  Vehicle Tribology 
1991  Wear Particles: From the Cradle to the Grave 
1992  Thin Films in Tribology 
We look forward with anticipation to the twentieth meeting in Lyon from 7th to 10th September 1993.  The 
Symposium will focus on energy dissipation processes and the origins of friction in tribology at all scales, from 
all points of view and the title will be "Disspative Processes in Tribology". 
Chris Taylor 
Duncan Dowson 
Tom Childs
Thin Films in Tribology / D. Dowson et al. (Editors) 
1993 Elsevier Science Publishers B.V.  3 
Thin Films in Tribology 
D Dowson 
Institute of Tribology, Department of Mechanical Engineering, The University of Leeds, Leeds LS2 9JT, United 
Kingdom 
In this Keynote Address the author reviews briefly the full spectrum of thin film tribology, ranging from surface 
modification and coatings to the behaviour of thin, protective lubricating films.  Attention is drawn to the 
remarkable way  in which the effective minimum film thickness in highly loaded, reliable and efficient 
lubricated machine elements has fallen from tens of microns to tens of nano-metres throughout the 20th 
century, The near coincidence of studies of 'solidified' lubricants and 'boundary' lubricants in tribology is noted. 
1. INTRODUCTION  lubricated  machme  components.  Some 
illustrations of thin film dominance in tribology 
The short definition of Tribology, introduced more  include; 
.... 
than a quarter of a century ago, is that it is  "The 
science and technology of interacting surfaces in  chemical reactions with the lubricant or the 
relative  motion  and  the  practices  related  environment which might create surface films 
thereto....".  Since the subject was defined there  on the solids with properties which dominate 
has been much research  and not a little success in  the tribological properties of the conjunctions. 
understanding the response of the bulk materials, 
both solids and fluids, which form the tribological  lubricants might solidify and cease to respond 
conjunctions, to  the  severe loading,  kinematic,  as Newtonian fluids. 
thermal and environmental conditions which they 
experience  in  performing  their  tribological  the effective thickness of the lubricating film 
functions.  Much  of  this progress  has  been  might fall to the level of the roughness scale of 
developed from  firm  foundations  in  continuum  the solid surfaces, and might even approach 
mechanics and concepts of fracture mechanics and  molecular proportions. 
fatigue in the case of solid mechanics.  Analysis 
has nevertheless generally rested upon idealisations  the  surfaces of  the  solids might  have been 
of the materials considered and in many ways it is  modified,  either  deliberately  or  by  pre- 
remarkable that  the  predictions of  performance  treatment, or as a result of exposure to the 
have been so consistent with practical experience.  operating  environment  of  the  tribological 
conjunction. 
Notwithstanding  the  impressive  progress 
recorded in the understanding of the tribological  wear debris (third bodies) might accumulate 
performance  of  bulk  materials,  the  most  within  the  conjunction  in  thin  layers  and 
spectacular developments  in  recent  times  have  dominate the tribological performance of the 
resulted from the  recognition of  the  distinctive  system. 
roles  of  thin  films,  both  solid  and  fluid,  in 
tribology.  The operating surfaces of solids might  Molecular rather  than continuum mechanics 
exhibit  physical properties  quite  different from  might be necessary to account for the detailed 
those of the underlying bulk materials, while the  solid-to-solid and solid-to-fluid interactions in 
fluid  nature  of  the  lubricant  itself  becomes  thin film tribology. 
questionable in the exceptionally thin films which 
appear to determine success or failure in many  Many of these topics form the subject of review 
and research papers in the 19th Leeds-Lyon
4 
Symposium on Tribology, while the recognition of  Case hardening,  or carburising, based upon the 
their  importance  accounts for  the  title  of  the  diffusion of  carbon  into  the  surface  when  the 
Symposium itself.  In  the  present  paper  brief  metals are heated in the presence of a carbonaceous 
mention will be made of some of the major fields of  material.  Other  thermal  processes  for  the 
progress  reported  fully  elsewhere  in  the  enhancement of  hardness based  upon  induction 
Symposium, but particular attention will be given  flames,  lasers  and  electron  beams are  widely 
to studies of thin fluid film lubrication.  employed, depending upon the materials and sizes 
of the specimens. 
2.  THE  SPECTRUM  of  THIN  FILM 
TRIBOLOGY  Diffusion.  Thermo-chemical action can be 
used to prepare harder surfaces in relatively thin 
Initially  the  selection  of  sliding  pairs  of  layers through the use of elements such as carbon, 
materials  for  machinery  was  gwded  by  sulphur and nitrogen. 
consideration  of  the  properties  of  the  bulk 
materials.  However,  in  due  course  it  was  An  alternative  to  the  modification  of  the 
recognised that in many components, like plain  surface layers of the bulk material is to apply a 
bearings, it was adequate to provide a low shear  coating of either a very hard material or a solid 
strength, low melting point bearing material on the  lubricant. 
bearing surface to support the relatively hard and 
expensive journal or shaft.  As the unit loads on  Electroplating  is  a  well  known  and 
machinery increased, the relatively thick layers of  established procedure for coating materials such as 
soft material, like white metal, gave way to the thin  iron, chromium and nickel. 
multiple layers of materials capable of  resisting 
fatigue and operating  in the  ever  more  hostile  Welding is used to provide protective alloy 
environments that are familiar today in many plain  coatings based upon materials such as cobalt, iron, 
bearings.  General reviews of these developments  nickel and tungsten carbide. 
were published in [1,2,3],w hile valuable guidance 
to wear resistance now appears in handbooks [4,5].  Flame-spraying is widely used where metals, 
alloys or ceramics are to be applied to enhance the 
It  can  be  argued  that  the  spectacular  resistance to wear.  The coatings are relatively 
developments  in  plain  bearing  technology  did  thick  and  difficulties can  be  encountered with 
much to promote interest in many aspects of thin  awkwardly shaped components. 
film tribology.  It is, however, the emphasis on 
wear  reduction,  particularly  in  unlubricated  Ion Plating and Plasma  deposition  are the 
conjunctions,  in  recent  years  that  has  been  coating  processes  that  have  attracted  the  most 
responsible for much of the progress evident today.  attention  in tribological circles in  recent years. 
They are used for hard and soft coatings alike and 
Perhaps  the  greatest  advance  followed  the  generally  yield  dense  structures  with  good 
recognition  that  the  bulk  materials  could  be  tribological properties.  The two major categories 
selected  for  their  structural  integrity,  general  of  coating  systems  under  these  headings  are 
mechanical properties and relatively low cost while  Chemical  Vapour  Deposition  (0an)d   
the surfaces of rubbing solids could be modified by  Physical  Vapour  Deposition  (PVD).  In  the 
a variety of techniques to enhance their resistance  former, gaseous reagents provide the source of the 
to corrosion or wear. In general wear resistance is  coating materials, while in the latter the coating 
enhanced by increasing the hardness of the surface,  material is generally evaporated from solid placed 
through such processes as;  within the vacuum chamber.  The CVD process 
generally involves high temperatures, which may 
Heat Treatment.  Perhaps the best known  be disadvantageous, whereas PVD minimises this 
method  of  preparing  relatively  thick  layers  of  problem.  The coatings are very thin, such that the 
harder material in low and medium carbon steels is  original surface topography is not impaired and
5 
adequate bond  strength  is  often claimed.  The  Plasma  sprayed  alumina  ceramic  coatings 
assurance of adequate bonding is nevertheless a  having thicknesses in the range 200-300 pm were 
matter  of  the  utmost  importance  in  many  applied to the surfaces at velocities up to 500 m/s 
tribological situations, such as in medical implants,  using argon with a small amount of hydrogen as 
and much effort is currently being applied to the  the camer and plasma  gas.  The bond strength 
evaluation and improvement of coatings produced  specimens were prepared on the circular ends of 
by ion plating techniques.  cylindrical metallic specimens of diameter 25 mm. 
The ends of the metal cylinders were cleaned by 
2.2 The Integrity of Coatings  pressure grit  blasting  and the  ceramic  coatings 
were applied either directly or by interposing a Ni, 
If it is true that protective coatings, both hard  Cr, A ! bond coat some 75-100 pm thick. 
and soft, have been responsible for much of the 
progress  in  wear  protection  under  rubbing  Normal loads were applied to the coating in a 
conditions [6],i t is equally true that much of the  tensile testing machine by sticking the flat face of a 
concern about their  use has been  related to the  carefully prepared  stainless steel cylinder to the 
issue of their integrity on the substrates.  alumina with Araldite.  A constant strain rate of 
0.5 mdmin was  adopted  and  some  specimens 
In some cases it is not a disaster if the coating  were  tested in  air  and others  afler  soaking for 
eventually wears away, since many substrates are  various periods in deionised water. 
themselves  reasonably  good  wear  resisting 
materials.  However, in other cases it might be 
disastrous if the coating detaches itself from the 
L 
substrate, since the debris might be hard, abrasive 
and destructive to the tribological system. It is the  E 
responsibility of the tribologist to ensure that the 
protective coatings which he or she recommends 
have adequate bond strength at the interface with 
the underlying material throughout the lifetime of 
operation of the sliding pairs of materials. 
The point was brought to my  attention most  r0n  -  
vividly  almost  ten  years  ago,  when  we  were  .a-l  
d 
concerned  with  the  development  of  improved  Icn  - 
al 
counterfaces for the ultra-high  molecular weight  I-  I  I  I  I 
polyethylene  acetabular  cups  used  in  total  1  10  100  1000  10000 
replacement hip joints [7].  The wear studies had  Soak  Period  (  hours 1 
already  indicated  that  high  density  alumina 
ceramic provided an excellent counterface to the  Fig. 1.  Variation  of  Tensile  Bond  Strength  of 
polyethylene, with wear of the latter taking place at  Coatings of Alumina on Metals. 
a lower rate than when well prepared metals were  (  control;  +  withbondcoat; 
used [8,9].  The mechanical strength of metallic  o  without bond coat) 
femoral stems and heads  nevertheless presented 
desirable features for the severe loads and bending  The findings are shown in Figure  1.  The 
moments encountered by implants.  Interest thus  initial bond strengths are recorded in the ordinate 
developed  in  the  possibility  of  retaining  the  and it is evident that little deterioration took place 
mechanical strength of metallic stems and heads,  during the first 1,000 hours or so.  However, the 
and  the  tribological  advantages  of  ceramic  bond strength of the specimens soaked in water 
counterfaces by applying alumina coatings to the  decreased  rapidly  thereafter,  in  some  cases by 
metallic heads.  almost 90% after 10,000 hours (say 14 months). 
There were no significant differences between the
6 
results for the two different metallic substrates and  lubricated by either Newtonian or Non-Newtonian 
the bond  coat had  little influence on  the  bond  fluids.  The  analyses  became  increasingly 
strength.  sophisticated and in recent times a number of the 
initial  restrictions  on  the  analysis  have  been 
While survival times of about 1,000 hours may  relaxed to permit solutions to be obtained which 
be satisfactory in many engineering situations, they  take account of the surface roughness of the solids; 
are clearly inadequate for implant applications.  It  point (elliptical) and line contacts; isothermal and 
is only now, with the considerable improvements in  thermal  conditions and  the  realistic  rheological 
coating  technology  and  the  development  of  characteristics of the lubricants.  As the available 
alternative  surface  treatments,  that  surface  solutions  multiplied,  and  the  learned  society 
modifications  are  once  again  attracting  the  literature on tribology still devotes a good deal of 
attention  of  bioengineers  engaged  in  the  space  to  the  subject,  empirical  film  thickness 
advancement of total replacement joints.  equations were developed, verified by experiment 
and incorporated into design procedures. 
3.  FLUID FILM LUBRICATION 
Experimental techniques based primarily upon 
In the previous section surface modification of  interferometry and capacitance systems not  only 
the solids, often in thick films of micron on sub-  verified the theoretical predictions but also revealed 
micron proportions, was discussed in relation to  the effectiveness of very thin elasto-hydrodynamic 
developments in thin film tribology. We now move  films.  Roberts and Taylor [ll] had revealed water 
from  the  solids  to  the  fluids  in  tribological  films having thicknesses of about  between 
conjunctions to find evidence of equally spectacular  rubber and glass as early as 1971, while Spikes 
advances in thin film tribology.  [12] more recently developed an ultra  thin film 
interferometry  system  capable  of  measuring 
3.1 The Thinning Film  effective elastohydrodynamic films between glass 
I have outlined elsewhere [lo] the manner in  and  metals of  similar film  thicknesses.  Flying 
which  advances  in  analysis,  design  and  heads  float  above  computer  discs  with  great 
mandame have  enabled  fluid-film  lubricated  effectiveness and remarkable reliability on films of 
systems to operate with films of ever decreasing  air generated by hydrodynamic actions which have 
thickness throughout  the  20th  century.  At  the  thicknesses in the range  to 
beginning of the century minimum film thicknesses 
in reliable fluid film bearings were probably of  We now recognise that the thin, tenacious and 
order  m and maybe even as high as lo4 m.  very effective films of fluid developed beneath the 
Development of  the internal combustion engine  rugosities on surfaces as they pass through elasto- 
provided the spur for improvements of big end and  hydrodynamic conjunctions can maintain fluid film 
main crankshaft bearings wluch regularly operate  lubrication between  many  real  (rough)  surfaces 
today with  minimum  film  thicknesses of order  which might otherwise be expected to touch each 
10-6 m.  other.  This appears to explain why many elasto- 
hydrodynamic  conjunctions  are  effective  even 
In the  second half  of the  20th  century the  though the predicted film thicknesses, based upon 
remarkable  tenacity  of  fluid-films  in  highly  smooth surface analysis, are but modest compared 
stressed, lubricated machine elements was revealed  to the composite surface roughness of the solids. 
through the development of understanding of the  This  is  known  as  micro-elasto-hydrodynamic 
phenomenon now known as elasto-hydrodynamic  action or simply asperity lubrication and it appears 
lubrication.  The initial measure of such films was  to be particularly effective in low elastic modulus 
the micron, but as experience grew we began to  conjunctions such as elastomeric bearings,  seals 
talk confidently of minimum film thicknesses of  and synovial joints.  Much remains to be done on 
sub-micron proportions; say  m.  Analytical  the  analysis  and  experimental  study  of  micro- 
procedures for smooth solids were developed for  elasto-hydrodynamic lubrication, but it is already 
the  prediction  of  such  films  in  conjunctions  clear  that  such  studies  are  enhancing  our
7 
understanding  of  the  lubrication  of  highly  the roughness profiles upon pressure distribution, 
deformed rough surfaces and  also exposing the  film thickness and stresses within the solids. 
inadequacy of the simple (A) ratio concept as a 
guide to the performance and long term survival of  The  important  outcome  of  micro-elasto- 
certain  elastohydrodynamic conjunctions.  The  hydrodynamic action is that the surface rugosities 
essentials of micro-elasto-hydrodynamic actions are  are  partially  flattened  by  the  enhanced  local 
reviewed in the next section.  pressures which they generate. This may allow the 
surfaces to be  separated by  an effective film of 
3.2 Micro-Elasto-Hydrodynamics  lubricant when they would otherwise be expected to 
The well known features of  smooth surface  make contact, thus extending the regime of fluid 
elasto-hydrodynamtcally  lubricated  conjunctions  film lubrication to very thin film situations. 
are shown in Figure 2.  In this illustration the 
moving plane surface represents a rigid solid while 
a cylinder of appropriate radius and elasticity is 
shown as the deformable solid. 
-15  -10  - 5  0  5  10  15 
(a)  Pressure 
- u+- 
-15  -10  -5  0  5  10  15 
(b)  Film  Thickness 
Fig. 2.  Elasto-Hydrodynamic Conjunction 
I  I 
If  transverse  roughnesses  modelled  by  a 
sinusoidal profile are considered on the deformable 
surface,  the  usual  smooth  surfaced  elasto- 
hydrodynamic conjunction pressure curve will be 
perturbed  by  the  local  asperity  hydrodynamic 
action associated with the peaks and troughs as  I 
1 
shown in Figure [3].  Several numerical solutions  2 
to  the  micro-elastohydrodynamic  lubrication 
problem have  now  been  reported  [13,14],  with  (0  Deformed  Roughness 
attention being focused upon the influence of the 
amplitude, wave length and orientation or lay of  Fig.  3.  Features  of  Micro-Elastohydrodynamic 
(Asperity) Lubrication.
8 
3.3.  The Lambda (A) Ratio.  4. THE STRIBECK CURVE 
It has been useful in the past to ascertain the 
likely effectiveness of  fluid  film  lubrication  by  The transitions from 'fluid film' to 'boundary' 
calculating  the  ratio  of  the  calculated  lubrication via  an intermediate  zone  known  as 
elastohydrodynamic film thickness (h) for smooth  'mixed'  lubrication  are  often  represented  by  a 
surfaces to the composite surface roughness [(a1)2  Stribeck [15] curve.  The first President of the 
+ (02)~]" of the solids. Experience has shown that  American Society of Mechanical Engineers, Robert 
if the  resulting lambda  (A)  ratio  exceeds about  H Thurston [16] reported in 1885 that the friction 
three, the conjunction enjoys effective fluid film  in a journal bearing passed through a minimum as 
action as indicated by Figure 4.  While a value of  the load increased; a transition now associated with 
unity will inevitably lead to substantial surface-to-  a  change from  fluid-film  to  mixed  lubrication. 
surface contacts, wear and a reduced fatigue life,  Gumbel [17] urufied the observations of Thurston 
there is increasing evidence that conjunctions with  and Stribeck when he represented journal bearing 
intermediate  lambda  values  can  survive  much  friction in a given bearing as a function of a single 
better  than  expected  due  to  micro-elasto-  dimensionless  group  (qdp),  where  (q)  is  the 
hydrodynamic effects.  lubricant viscosity, (a)t he angular velocity of the 
shaft and @) the projected load per unit area. 
This  raises  doubts about  the  real  value  of  the 
lambda ratio.  It is clearly a usefid initial guide, to  The  general  form  of  the  Stribeck curve  is 
conjunction survival, but if circumstances permit  shown in Figure 5. It was one of the earliest forms 
micro-elastohydrodynamic action, a more detailed  of lubrication regime charts, distinguishing as it 
investigation of the actual minimum film thickness  did  between  fluid-film;  mixed  and  boundary 
should be undertaken.  A modified lambda ratio in  lubrication. The minimum coeficient of friction is 
which the composite roughness term is adjusted to  of  order  while  the level  representative of 
reflect  the  remarkable  elastic  smoothing  action  boundary  lubrication  in  engineering  systems  is 
which sometimes takes place might still be useful,  about  10-I.  The  mixed  lubrication  curve 
but  as the  resulting  minimum film  thicknesses  connecting these extremes is steep, thus offering 
become  smaller  and  smaller  and  approach  attractive possibilities for a significant reduction in 
molecular proportions, account must also be taken  the coefficient of friction by  the promotion of a 
of the absolute separation of the solids.  little hydrodynamic action, or a severe penalty on 
fluid-film  bearing  performance  when  asperity 
interaction occurs. 
The  possibility  of  extending  fluid-film 
lubrication into regimes that would appear to be 
mixed  or  boundary  lubricated,  through  micro- 
elastohydrodynamic action has already been noted 
in the previous section.  These suggestions are by 
no means recent, since Michell [ 181 reviewed some 
of the issues in his excellent book pu5lished in 
1950.  He recalled that Professor Heidebroek [19] 
had discussed a paper by Tenot, published in 1937, 
and declared that the rising friction in the mixed 
lubrication regimes was not necessarily due to dry, 
or solid, friction. He pointed out that if regard was 
paid  to  the  rugosities  on  the  bearing  surfaces, 
convergent films could be envisaged between them 
which would contribute to the local load canying 
1  2  ( A )   3 
capacity and greatly to an increase in the friction. 
Fig. 4. Influence of Lambda Ratio (A) Upon Life.