Abstract

Simple physical models for the stresses in dovetail attachments are developed. These models address: to slip or not to slip, nominal stresses during loading up, peak contact and shear stresses during loading up, hoop stresses during loading up, peak contact and shear stresses during unloading, and hoop stresses during unloading. Comparisons are made with a previous paper on companion finite element modeling. Generally there is good agreement between the simple physical models and the finite element analysis. Together the two identify a pinching mechanism as leading to large fluctuations in hoop stresses at the edges of contact. These fluctuating hoop stresses can be expected to be a major contributor to the fatigue of dovetail attachments.

1.
Sinclair
,
G. B.
,
Cormier
,
N. G.
,
Griffin
,
J. H.
, and
Meda
,
G.
,
2002
, “
Contact Stresses in Dovetail Attachments: Finite Element Modeling
,”
J. Eng. Gas Turbines Power
,
124
,
182
191
.
2.
Cormier
,
N. G.
,
Smallwood
,
B. S.
,
Sinclair
,
G. B.
, and
Meda
,
G.
,
1999
, “
Aggressive Submodeling of Stress Concentrations
,”
Int. J. Numer. Methods Eng.
,
46
, pp.
889
909
.
1.
Hertz
,
H.
,
1882
, “
On the Contact of Elastic Solids
,”
J. Reine Agnew. Mat.
,
92
, pp.
156
171
(in German: for an account in English, see Johnson, 1985, Ch. 4.2).
2.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge, U.K.
1.
Sadowsky
,
M. A.
,
1928
, “
Two-Dimensional Theory of Elasticity Theory
,”
Z. Angew. Mat. Mech.
,
8
, pp.
107
121
(in German: for an account in English, see Johnson, 1985, Ch. 2.8).
2.
Steuermann
,
E.
,
1939
, “
To Hertz’s Theory of Local Deformations in Compressed Elastic Bodies
,”
C. R. (Dokl.) Acad. Sci. URSS
,
25
, pp.
359
361
.
3.
Poritsky
,
H.
,
1950
, “
Stresses and Deflections of Cylindrical Bodies in Contact With Applications to Contact of Gears and of Locomotive Wheels
,”
ASME J. Appl. Mech.
,
17
, pp.
191
201
.
4.
Michell
,
J. H.
,
1902
, “
The Inversion of Plane Stress
,”
Proc. London Math. Soc.
,
34
, pp.
134
142
.
5.
Levy
,
M.
,
1898
, “
On the Elastic Equilibrium of a Masonary Dam of Triangular Cross Section
,”
C. R. de l’Acade´mie des Sciences
,
127
, pp.
10
15
.
You do not currently have access to this content.