TECHNICAL PAPERS: Gas Turbines: Structures and Dynamics

Contact Stresses in Dovetail Attachments: Finite Element Modeling

[+] Author and Article Information
G. B. Sinclair

Department of Mechanical Engineering, Louisiana State University, Baton Rouge, LA 70803-6413

N. G. Cormier

General Electric Aircraft Engines, Cinncinati, OH 45215

J. H. Griffin

Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213-3890

G. Meda

Science and Technology Division, Corning, Inc., Corning, NY 14831

J. Eng. Gas Turbines Power 124(1), 182-189 (Mar 01, 1999) (8 pages) doi:10.1115/1.1391429 History: Received October 01, 1998; Revised March 01, 1999
Copyright © 2002 by ASME
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Hertz,  H., 1882, “On the Contact of Elastic Solids,” J. Reine Agnew. Math., 92, pp. 156–171 (in German: for an account in English, see Johnson, 5, Chapter 4).
Steuermann,  E., 1939, “To Hertz’s Theory of Local Deformations in Compressed Elastic Bodies,” C. R. (Dokl.) Acad. Sci. URSS, 25, pp. 359–361.
Sadowsky,  M. A., 1928, “Two-Dimensional Problems of Elasticity Theory,” Z. Angew. Math. Mech., 8, pp. 107–121 (in German).
Gladwell, G. M. L., 1980, Contact Problems in the Classical Theory of Elasticity, Sijthoff and Noordhoff International Publishers, Alphen aan den Rijn, The Netherlands.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge, UK.
Kalker,  J. J., 1977, “A Survey of the Mechanics of Contact Between Solid Bodies,” Z. Angew. Math. Mech., 57, pp. T3–T17.
Meda, G., and Sinclair, G. B., 1996, “A Survey of Some Recent Papers in Contact Mechanics,” Report SM 96-7, Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA.
Boddington,  P. H. B., Chen,  K., and Ruiz,  C., 1985, “The Numerical Analysis of Dovetail Joints,” Comput. Struct., 20, pp. 731–735.
ANSYS personnel, 1995, ANSYS User’s Manual, Revision 5.2, Vol. I, ANSYS Inc., Canonsburg, PA.
Kenny,  B., Patterson,  E. A., Said,  M., and Aradhya,  K. S. S., 1991, “Contact Stress Distributions in a Turbine Disk Dovetail Type Joint—A Comparison of Photoelastic and Finite Element Results,” Strain,27, pp. 21–24.
Papanikos,  P., and Meguid,  S. A., 1994, “Theoretical and Experimental Studies of Fretting-Initiated Fatigue Failure of Aeroengine Compressor Discs,” Fatigue Fract. Eng. Mater. Struct., 17, pp. 539–550.
Meguid,  S. A., Refaat,  M. H., and Papanikos,  P., 1996, “Theoretical and Experimental Studies of Structural Integrity of Dovetail Joints in Aeroengine Discs,” J. Mater. Process. Technol., 56, pp. 668–677.
Papanikos,  P., Meguid,  S. A., and Stjepanovic,  Z., 1998, “Three-Dimensional Nonlinear Finite Element Analysis of Dovetail Joints in Aeroengine Discs,” Finite Elem. Anal. Design, 29, pp. 173–186.
Williams,  M. L., 1952, “Stress Singularities Resulting from Various Boundary Conditions in Angular Corners of Plates in Extension,” ASME J. Appl. Mech., 19, pp. 526–528.
Gregory,  R. D., 1979, “Green’s Functions, Bi-Linear Forms, and Completeness of the Eigenfunctions for the Elastostatic Strip and Wedge,” J. Elast., 9, pp. 283–309.
Persson, A., 1964, “On the Stress Distribution of Cylindrical Elastic Bodies in Contact,” Doctoral dissertation, Chalmers University of Technology, Göteborg, Sweden.
Mossakovskii,  V. I., 1954, “The Fundamental Mixed Problem of the Theory of Elasticity for a Half-Space With a Circular Line Separating the Boundary Conditions,” Prikl. Mat. Mekh., 18, pp. 187–196 (in Russian).
Spence,  D. A., 1975, “The Hertz Contact Problem with Finite Friction,” J. Elast., 5, pp. 297–319.
Dundurs,  J., and Comninou,  M., 1979, “Some Consequences of the Inequality Conditions in Contact and Crack Problems,” J. Elast., 9, pp. 71–82.
Gere, J. M., and Timoshenko, S. P., 1991, Mechanics of Materials, 3rd SI ed., Chapman & Hall, London.
Hamdy,  M. M., and Waterhouse,  R. B., 1981, “The Fretting Wear of Ti-6A1-4V and Aged Inconel 718 at Elevated Temperatures,” Wear, 71, pp. 237–248.
Sinclair, G. B., 1998, “Finite Element Analysis of Singular Elasticity Problems,” Proceedings of the Eighth International ANSYS Conference, Vol. 1, ANSYS Inc., Canonsburg, PA, pp. 225–236.
Cormier,  N. G., Smallwood,  B. S., Sinclair,  G. B., and Meda,  G., 1999, “Aggressive Submodelling of Stress Concentrations,” Int. J. Numer. Methods Eng., 46, pp. 889–909.
Strang, G., and Fix, G. J., 1973, An Analysis of the Finite Element Method, Prentice-Hall, Englewood Cliffs, NJ.
Sinclair, G. B., 1998, “On the Logarithmic Stress Singularities Induced by the Use of Displacement Interpolants as Boundary Conditions in Submodelling,” Report SM 98-5, Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA.
Poritsky,  H., 1950, “Stresses and Deflections of Cylindrical Bodies in Contact,” ASME J. Appl. Mech., 17, pp. 191–196.


Grahic Jump Location
Dovetail attachment configuration: (a) overall attachment, (b) close-up of contact region with local coordinates, (c) close-up of disk near lower contact point with stresses acting
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Examples of contact problems: (a) indentor profiles, (b) contact stresses
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Finite element grids: (a) coarse global grid, (b) close-up of coarse global grid with submodel region shown shaded, (c) coarse submodel grid
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Converge of contact stress (μ=0): (a) global distributions (from global grids), (b) local distributions (including submodel results)
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Convergence of other stress components (μ=0.4); (a) local shear stresses, (b) local hoop stresses
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Comparison of shear stress with limiting value (τc cf. μσc, μ=0.4): (a) global comparison (from fine global grid), (b) local comparison (from fine submodel grid)




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