The paper presents an analytical solution of a shrink-fit problem between an eccentric and a centric circular annulus in the elastic domain. It is assumed that the material constants for both elements are the same and that a plane stress or plane strain state occurs in both annuli. The problem is solved using complex variable functions, where conformal mapping of the centric circular annulus to the eccentric one can be used. Elements of the stress tensor and displacement vector in both annuli are written in closed and finite form.
StagniL.Elastic field perturbation by misfitting ring inclusionMechanics Res. Commun., 2003, 30, 39–44.
2.
StagniL.Elastic analysis of a multilayered cylindrical fiber with eigenstrainsInt. J. Engng Sci., 2001, 39, 641–653.
3.
Urriolagoitia SosaG.HillsD. A.SackfieldA.A shrink-fit peg subject to bending and shearing forcesJ. Strain Analysis, 1999, 34 (1), 23–29.
4.
MugaduA.HillsD. A.A shrink-fitted peg subjected to a tensile loadInt. J. Mech. Sci., 2001, 43, 1629–1641.
5.
SackfieldA.BarberJ. R.HillsD. A.TrumanC. E.A shrink-fit shaft subject to torsionEur. J. Mechanics A/Solids, 2002, 21, 73–84.
6.
KolosovG. V.On an application of complex function theory to a plane problem of the mathematical theory of elasticity (in Russian). PhD thesis, Dorpat University, Estonia, 1909.
7.
MuskhelishviliN. I.Some Basic Problems of the Mathematical Theory of Elasticity, 1953 (Noordhoof, Groningen, The Netherlands).
8.
UgodchikovA. G.DlugachM. I.StepanovA. E.Computational Methods in Boundary Value Problems of the Plane Theory of Elasticity (in Russian), 1970 (Vishcha Shkola, Moscow, USSR).
9.
BatistaM.UsenikJ.Stresses in a circular ring under two forces acting along a diameterJ. Strain Analysis, 1996, 31 (1), 75–78.
10.
BatistaM.Stresses in a confocal elliptic ring subject to uniform pressureJ. Strain Analysis, 1999, 34 (3), 217–221.
11.
BatistaM.KoselF.Elastic state in eccentric ring under uniform normal loadZ. Angew. Math. Mech., 1995, 75 (SII), 453–454.
12.
ShermanD. I.The static plane problem of the theory of elasticity for isotropic non-homogeneous media (in Russian)Trudy Seismologichesk. Inst. Akad. Nauk SSSR, 1938, 86, 1–50.
13.
ShermanD. I.1940. On a problem of the theory of elasticity (in Russian)Dokl. Akad. Nauk SSSR, 1940, 27 (9), 907–910.
