This paper explores the vibration damping properties of thermal barrier coatings (TBCs) containing thin plastically deformable metallic layers embedded in an elastic ceramic matrix. We develop an elastic–plastic dynamical model to study how work hardening, yield strain, and elastic modulus of the metal affect the macroscopic damping behavior of the coating. Finite element (FE) simulations validate the model and are used to estimate the damping capacity under axial and flexural vibration conditions. The model also provides an explanation for the widely observed nonlinear variation of the loss factor with strain in plasma-spayed TBCs. Furthermore, it facilitates the identification of multilayer configurations that maximize energy dissipation.
Issue Section:
Research Papers
References
1.
Miller
, R. A.
, 1997
, “Thermal Barrier Coatings for Aircraft Engines: History and Directions
,” J. Therm. Spray Technol.
, 6
(1
), p. 3542
.10.1007/BF026463102.
Evans
, A. G.
, Clarke
, D. R.
, and Levi
, C. G.
, 2008
, “The Influence of Oxides on the Performance of Advanced Gas Turbines
,” J. Eur. Ceram. Soc.
, 28
(7
), pp. 1405
–1419
.10.1016/j.jeurceramsoc.2007.12.0233.
Clarke
, D. R.
, Oechsner
, M.
, and Padture
, N. P.
, 2012
, “Thermal-Barrier Coatings for More Efficient Gas–Turbine Engines
,” MRS Bull.
, 37
(10
), pp. 891
–898
.10.1557/mrs.2012.2324.
Griffin
, J. H.
, 1990
, “A Review of Friction Damping of Turbine Blade Vibration
,” Int. J. Turbo Jet Engines
, 7
(3–4
), pp. 297
–308
.10.1515/TJJ.1990.7.3-4.2975.
Limarga
, A.
, Duong
, T.
, Gregori
, G.
, and Clarke
, D.
, 2007
, “High-Temperature Vibration Damping of Thermal Barrier Coating Materials
,” Surf. Coat. Technol.
, 202
(4
), pp. 693
–697
.10.1016/j.surfcoat.2007.07.0216.
Gregori
, G.
, Lì
, L.
, Nychka
, J.
, and Clarke
, D.
, 2007
, “Vibration Damping of Superalloys and Thermal Barrier Coatings at High-Temperatures
,” Mater. Sci. Eng., A
, 466
(1
), pp. 256
–264
.10.1016/j.msea.2007.02.0477.
Patsias
, S.
, Saxton
, C.
, and Shipton
, M.
, 2004
, “Hard Damping Coatings: An Experimental Procedure for Extraction of Damping Characteristics and Modulus of Elasticity
,” Mater. Sci. Eng., A
, 370
(1
), pp. 412
–416
.10.1016/j.msea.2003.07.0208.
Patsias
, S.
, Tassini
, N.
, and Lambrinou
, K.
, 2006
, “Ceramic Coatings: Effect of Deposition Method on Damping and Modulus of Elasticity for Yttria-Stabilized Zirconia
,” Mater. Sci. Eng., A
, 442
(1
), pp. 504
–508
.10.1016/j.msea.2006.04.1299.
Abu Al-Rub
, R. K.
, and Palazotto
, A. N.
, 2010
, “Micromechanical Theoretical and Computational Modeling of Energy Dissipation Due to Nonlinear Vibration of Hard Ceramic Coatings With Microstructural Recursive Faults
,” Int. J. Solids Struct.
, 47
(16
), pp. 2131
–2142
.10.1016/j.ijsolstr.2010.04.01610.
Casadei
, F.
, Bertoldi
, K.
, and Clarke
, D.
, 2013
, “Finite Element Study of Multi-Modal Vibration Damping for Thermal Barrier Coating Applications
,” Comput. Mater. Sci.
, 79
, pp. 908
–917
.10.1016/j.commatsci.2013.07.02711.
Yu
, Z.
, Zhao
, H.
, and Wadley
, H. N.
, 2011
, “The Vapor Deposition and Oxidation of Platinum- and Yttria-Stabilized Zirconia Multilayers
,” J. Am. Ceram. Soc.
, 94
(8
), pp. 2671
–2679
.10.1111/j.1551-2916.2011.04427.x12.
Begley
, M. R.
, and Wadley
, H. N.
, 2011
, “Delamination of Ceramic Coatings With Embedded Metal Layers
,” J. Am. Ceram. Soc.
, 94
(s1
), pp. s96
–s103
.10.1111/j.1551-2916.2011.04436.x13.
Begley
, M. R.
, and Wadley
, H. N.
, 2012
, “Delamination Resistance of Thermal Barrier Coatings Containing Embedded Ductile Layers
,” Acta Mater.
, 60
(6
), pp. 2497
–2508
.10.1016/j.actamat.2011.12.03914.
den Hartog
, J. P.
, 1956
, Mechanical Vibrations
, Dover Publications
, New York.15.
Hudson
, D. E.
, 1965
, “Equivalent Viscous Friction for Hysteretic Systems With Earthquake-Like Excitations
,” 3rd World Conference on Earthquake Engineering
, Auckland/Wellington, New Zealand, January 22–February 1, Vol. 2
, pp. 185
–201
.16.
Timoshenko
, S.
, 1951
, Theory of Elasticity
, McGraw-Hill
, New York
, Vol. 5
, p. 500
.17.
Merker
, J.
, Lupton
, D.
, Topfer
, M.
, and Knake
, H.
, 2001
, “High Temperature Mechanical Properties of the Platinum Group Metals
,” Platinum Met. Rev.
, 45
(2
), pp. 74
–82
.10.1595/147106706x15419818.
Fischer
, B.
, 2001
, “New Platinum Materials for High Temperature Applications
,” Adv. Eng. Mater.
, 3
(10
), pp. 811
–820
.10.1002/1527-2648(200110)3:10<811::AID-ADEM811>3.0.CO;2-#19.
Torvik
, P. J.
, 2009
, “A Slip Damping Model for Plasma Sprayed Ceramics
,” ASME J. Appl. Mech.
, 76
(6
), p. 061018
.10.1115/1.313218220.
Reed
, S. A.
, Palazotto
, A. N.
, and Baker
, W. P.
, 2008
, “An Experimental Technique for the Evaluation of Strain Dependent Material Properties of Hard Coatings
,” Shock Vib.
, 15
(6
), pp. 697
–712
.10.1155/2008/85368921.
Dahl
, P. R.
, 1976
, “Solid Friction Damping of Mechanical Vibrations
,” AIAA J.
, 14
(12
), pp. 1675
–1682
.10.2514/3.61511Copyright © 2014 by ASME
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