In turbomachinery, depositing abradable coatings along the circonference of casings is recognized as a robust solution which combines the adjustment of operating clearances with the reduction of nonrepairable damages potentially affecting the rotating blades. Accordingly, the modeling of the removal process experienced by these materials is of growing industrial importance. Based on a numerical strategy detailed in a previous publication by the authors, the present study aims at describing the mechanical behavior of abradable coatings used within turbomachines in the context of translational high-speed interactions with a rigid tool. The developed plastic constitutive law macroscopically capturing the abradable material removal is first enriched to account for its strain rate dependence. Then, a sensitivity analysis with respect to a few parameters of interest is conducted and calibration of the numerical investigation with existing experimental data validates the proposed approach. Finally, the strain-rate dependence of the viscoplastic law implemented within a full numerical three-dimensional rotor/stator interaction is addressed. Results reveal that viscoplastic terms have minor effects in turbomachinery interactions.

References

References
1.
Schmiechen
,
P.
,
1997
, “
Travelling Wave Speed Coincidence
,” Ph.D. thesis,
College of Science, Technology and Medicine
,
London, UK
.
2.
Padova
,
C.
,
Barton
,
J.
,
Dunn
,
M.
,
Manwaring
,
S.
,
Young
,
G.
,
Adams
,
M.
, and
Adams
,
M.
,
2005
, “
Development of an Experimental Capability to Produce Controlled Blade Tip/Shroud Rubs at Engine Speed
,”
ASME J. Turbomach.
,
127
, pp.
726
735
.10.1115/1.1934429
3.
von Groll
,
G.
, and
Ewins
,
D. J.
,
2001
, “
The Harmonic Balance Method With Arc-Length Continuation in Rotor/Stator Contact Problems
,”
J. Sound Vib.
,
241
, pp.
223
233
.10.1006/jsvi.2000.329810.1006/jsvi.2000.3298
4.
Legrand
,
M.
,
Pierre
,
C.
,
Cartraud
,
P.
, and
Lombard
,
J.-P.
,
2009
, “
Two-Dimensional Modeling of an Aircraft Engine Structural Bladed Disk-Casing Modal Interaction
,”
J. Sound Vib.
,
319
(
1–2
), pp.
366
391
.10.1016/j.jsv.2008.06.019
5.
Batailly
,
A.
,
Legrand
,
M.
,
Cartraud
,
P.
, and
Pierre
,
C.
,
2010
, “
Assessment of Reduced Models for the Detection of Modal Interaction Through Rotor Stator Contacts
,”
J. Sound Vib.
,
329
, pp.
5546
5562
.10.1016/j.jsv.2010.07.018
6.
Yi
,
M.
,
He
,
J.
,
Huang
,
B.
, and
Zhou
,
H.
,
1999
, “
Friction and Wear Behaviour and Abradability of Abradable Seal Coating
,”
Wear
,
231
, pp.
47
53
.10.1016/S0043-1648(99)00093-9
7.
Ma
,
X.
, and
Matthews
,
A.
,
2009
, “
Evaluation of Abradable Seal Coating Mechanical Properties
,”
Wear
,
267
, pp.
1501
1510
.10.1016/j.wear.2009.03.04410.1016/j.wear.2009.03.044
8.
Peyraut
,
F.
,
Seichepine
,
J. L.
,
Coddet
,
C.
, and
Hertter
,
M.
,
2008
, “
Finite Element Modeling of Abradable Materials—Identification of Plastic Parameters and Issues on Minimum Hardness Against Coating's Thickness
,”
Int. J. Simul. Multidisciplinary Des. Optimiz.
,
2
, pp.
209
215
.10.1051/ijsmdo:2008028
9.
Bounazef
,
M.
,
Guessasma
,
S.
, and
B.
,
A. S.
,
2004
, “
The Wear, Deterioration and Transformation Phenomena of Abradable Coating BN-SiAl-Bounding Organic Element, Caused by the Friction Between the Blades and the Turbine Casing
,”
Mater. Lett.
,
58
, pp.
3375
3380
.10.1016/j.matlet.2004.02.04910.1016/j.matlet.2004.02.049
10.
Legrand
,
M.
,
Batailly
,
A.
, and
Pierre
,
C.
,
2011
, “
Numerical Investigation of Abradable Coating Removal in Aircraft Engines Through Plastic Constitutive Law
,”
ASME J. Comput. Nonlinear Dyn.
,
7
, p.
011010
.10.1115/1.4004951
11.
Batailly
,
A.
,
Legrand
,
M.
,
Millecamps
,
A.
, and
Garcin
,
F.
,
2012
, “
Numerical-Experimental Comparison in the Simulation of Rotor/Stator Interaction Through Blade-Tip/Abradable Coating Contact
,”
ASME J. Eng. Gas Turbines Power
,
134
, p.
082504
.10.1115/1.4006446
12.
Cuny
,
M.
,
2012
, “
Contribution à la Caractérisation Locale des Couples de Matériaux mis en jeu lors du Contact Rotor/Stator dans une Turbomachine
,” Ph.D. thesis,
Université de Lorraine
,
Nancy, France
.
13.
Ma
,
X.
, and
Matthews
,
A.
,
2007
, “
Investigation of Abradable Seal Coating Performance Using Scratch Testing
,”
Surf. Coat. Technol.
,
202
, pp.
1214
1220
.10.1016/j.surfcoat.2007.07.07610.1016/j.surfcoat.2007.07.076
14.
Sutter
,
G.
,
Philippon
,
S.
, and
Garcin
,
F.
,
2006
, “
Dynamic Analysis of the Interaction Between an Abradable Material and a Titanium Alloy
,”
Wear
,
261
, pp.
686
692
.10.1016/j.wear.2006.01.03010.1016/j.wear.2006.01.030
15.
Craig
,
R.
, and
Bampton
,
C.
,
1968
, “
Coupling of Substructures for Dynamics Analyses
,”
AIAA J.
,
6
(
7
), pp.
1313
1319
.10.2514/3.4741
16.
Batailly
,
A.
,
2008
, “
Simulation de l'interaction Rotor/Stator pour des Turbomachines Aéronautiques en Configuration Non-Accidentelle
,” thèse de doctorat,
École Centrale de Nantes
,
Nantes, France
, http://tel.archives-ouvertes.fr/tel-00364945/en/
17.
Zubov
,
V. I.
,
Stepanov
,
G. V.
, and
Shirokov
,
A. V.
,
2003
, “
Effect of the Strain Rate on the Yield Strength of Steels of Different Strength
,”
Strength Mater.
,
35
, pp.
514
520
.10.1023/B:STOM.0000004540.92311.73
18.
Simo
,
J. C.
, and
Hughes
,
T. J. R.
,
1998
,
Computational Inelasticity
, Springer-Verlag, New York.
19.
Legrand
,
M.
, and
Pierre
,
C.
,
2009
, “
Numerical Investigation of Abradable Coating Wear Through Plastic Constitutive Law: Application to Aircraft Engines
,” ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference (IDETC/CIE2009), San Diego, CA, August 30–September 2,
ASME
Paper No. DETC2009-87669.10.1115/DETC2009-87669
20.
Rosen
,
R. S.
,
Paddon
,
S. P.
, and
Kassner
,
M. E.
,
1999
, “
The Variation of the Yield Stress of Ti Alloys With Strain Rate at High Temperatures
,”
J. Mater. Eng. Perf.
,
8
, pp.
361
367
.10.1361/105994999770346927
21.
Williams
,
R. J.
,
2011
, “
Simulation of Blade Casing Interaction Phenomena in Gas Turbines Resulting From Heavy Tip Rubs Using an Implicit Time Marching Method
,” ASME 2011 Turbo Expo: Turbine Technical Conference and Exposition (GT2011), Vancouver, Canada, June 6–10,
ASME
Paper No. GT2011-45495.10.1115/GT2011-45495
22.
Millecamps
,
A.
,
Brunel
,
J. F.
,
Dufrénoy
,
P.
,
Garcin
,
F.
, and
Nucci
,
M.
,
2009
, “
Influence of Thermal Effects During Blade-Casing Contact Experiments
,” ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference (IDETC/CIE2009), San Diego, CA, August 30–September 2,
ASME
Paper No. DETC2009-86842.10.1115/DETC2009-86842
23.
Batailly
,
A.
,
Legrand
,
M.
, and
Pierre
,
C.
,
2008
, “
Influence of Abradable Coating Wear Mechanical Properties on Rotor Stator Interaction
,” ASME 2011 Turbo Expo: Turbine Technical Conference and Exposition (GT2011), Vancouver, Canada, June 6–10,
ASME
Paper No. GT2011-45189.10.1115/GT2011-45189
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