Soft elastohydrodynamic lubrication (soft-EHL) is an important mechanism in biotribological systems. The soft-EHL has some distinct differences from the traditional hard-EHL, and a systematic analysis factoring in key features of the “softness” appears to be lacking. In this paper, a complete soft-EHL line-contact model is developed. In the model, the half-space approximation is replaced by the finite thickness analysis; the geometrical and material nonlinearity due to finite deformation is factored in; the surface velocities altered by the curvature effect are considered, and the load balance equation is formulated based on the deformed configuration. Solutions are obtained using a finite element method (FEM). The film thickness, pressure distributions, and material deformation are analyzed and discussed under various entraining velocities, elastic modulus, and material thickness of the soft layer. Comparisons are made between soft-EHL and hard-EHL modeling assumptions. The analyses show that the classical EHL modeling is not suitable for soft materials with high loads. The results show that the finite deformation (Green strain) should be considered in soft-EHL analysis. In the contact region, the hard EHL solver overestimates the pressure distribution and underestimates the film thickness and deformation.

References

1.
Jin
,
Z. M.
, and
Dowson
,
D.
,
2005
, “
Elastohydrodynamic Lubrication in Biological Systems
,”
Proc. Inst. Mech. Eng., Part J
,
219
(
5
), pp.
367
380
.
2.
McKee
,
C. T.
,
Last
,
J. A.
,
Russell
,
P.
, and
Murphy
,
C. J.
,
2011
, “
Indentation Versus Tensile Measurements of Young's Modulus for Soft Biological Tissues
,”
Tissue Eng., Part B
,
17
(
3
), pp.
155
164
.
3.
Natali
,
A. N.
,
Pavan
,
P. G.
, and
Scarpa
,
C.
,
2004
, “
Numerical Analysis of Tooth Mobility: Formulation of a Non-Linear Constitutive Law for the Periodontal Ligament
,”
Dent. Mater.
,
20
(
7
), pp.
623
629
.
4.
Adams
,
M. J.
,
Briscoe
,
B. J.
, and
Johnson
,
S. A.
,
2007
, “
Friction and Lubrication of Human Skin
,”
Tribol. Lett.
,
26
(
3
), pp.
239
253
.
5.
Jones
,
M. B.
,
Fulford
,
G. R.
,
Please
,
C. P.
,
McElwain
,
D. L. S.
, and
Collins
,
M. J.
,
2008
, “
Elastohydrodynamics of the Eyelid Wiper
,”
Bull. Math. Biol.
,
70
(
2
), pp.
323
343
.
6.
Hamrock
,
B. J.
, and
Dowson
,
D.
,
1978
, “
Elastohydrodynamic Lubrication of Elliptical Contacts for Materials of Low Elastic Modulus 1—Fully Flooded Conjunction
,”
ASME J. Lubr. Technol.
,
100
(
2
), pp.
236
245
.
7.
Dowson
,
D.
, and
Jin
,
Z. M.
,
1986
, “
Micro-Elastohydrodynamic Lubrication of Synovial Joints
,”
Eng. Med.
,
15
(
2
), pp.
63
65
.
8.
Yao
,
J. Q.
, and
Dowson
,
D.
,
1994
, “
Elastohydrodynamic Lubrication of Soft-Layered Solids at Elliptical Contacts—Part 1: Elasticity Analysis
,”
Proc. Inst. Mech. Eng., Part J
,
208
(
1
), pp.
31
41
.
9.
Chen
,
C. Y.
,
Tseng
,
Y. F.
,
Chu
,
L. M.
, and
Li
,
W. L.
,
2013
, “
Soft EHL for Transversely Isotropic Materials
,”
Tribol. Int.
,
67
, pp.
240
253
.
10.
Moghani
,
T.
,
Butler
,
J. P.
, and
Loring
,
S. H.
,
2009
, “
Determinants of Friction in Soft Elastohydrodynamic Lubrication
,”
J. Biomech.
,
42
(
8
), pp.
1069
1074
.
11.
Kudish
,
I. I.
,
2016
, “
Revision of a Fundamental Assumption in the Elastohydrodynamic Lubrication Theory and Friction in Heavily Loaded Line Contacts With Notable Sliding
,”
ASME J. Tribol.
,
138
(
1
), p.
011501
.
12.
Stupkiewicz
,
S.
,
Lengiewicz
,
J.
,
Sadowski
,
P.
, and
Kucharski
,
S.
,
2016
, “
Finite Deformation Effects in Soft Elastohydrodynamic Lubrication Problems
,”
Tribol. Int.
,
93
(Pt. B), pp.
511
522
.
13.
Hamrock
,
B. J.
,
Schmid
,
S. R.
, and
Jacobsen
,
B. O.
,
2004
,
Fundamentals of Fluid Film Lubrication
, 2nd ed.,
Marcel Dekker
,
New York
.
14.
Cameron
,
A.
, and
Robertson
,
W. G.
,
1962
, “
On the Derivation of Reynolds Equation
,”
Ind. Lubr. Tribol.
,
14
(
6
), pp.
14
42
.
15.
Wriggers
,
P.
,
2016
, “
Discretization Methods for Solids Undergoing Finite Deformations
,”
Advanced Finite Element Technologies
,
Springer, Cham, Switzerland
, pp.
17
51
.
16.
Bhushan
,
B.
,
2000
,
Modern Tribology Handbook, Two Volume Set
,
CRC Press
, Boca Raton, FL.
17.
COMSOL Multiphysics
,
1998
, “
Introduction to COMSOL Multiphysics®
,” COMSOL Multiphysics, Burlington, MA, accessed Feb. 9, 2018, http://cdn.comsol.com/documentation/5.2.0.166/IntroductionToCOMSOLMultiphysics.pdf
18.
Habchi
,
W.
,
Eyheramendy
,
D.
,
Vergne
,
P.
, and
Morales-Espejel
,
G.
,
2008
, “
A Full-System Approach of the Elastohydrodynamic Line/Point Contact Problem
,”
ASME J. Tribol.
,
130
(
2
), p.
021501
.
19.
Wu
,
S. R.
,
1986
, “
A Penalty Formulation and Numerical Approximation of the Reynolds–Hertz Problem of Elastohydrodynamic Lubrication
,”
Int. J. Eng. Sci.
,
24
(
6
), pp.
1001
1013
.
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