An elasto-plastic analytical solution for the shrink-fit problem with a thin strain-hardening hub and an elastic solid shaft

Mathematics and Mechanics of Solids

Volumn 2, Issue 3, 1997, Pages 335-349

  Gao, Xin Lin ^a   Atluri, Satya N ^b  

^a Wisconsin Electric Machines and Power Electronics Consortium   (United States)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPRESSIBILITY OF SOLIDS; ELASTOPLASTICITY; ITERATIVE METHODS; NUMERICAL METHODS; PLASTIC DEFORMATION; PROBLEM SOLVING; SHAFTS (MACHINE COMPONENTS); STRAIN HARDENING; STRESS ANALYSIS;

MITCHELL THEOREM; NADAI'S AUXILIARY VARIABLE METHOD; SHRINK FIT SETS;

SHRINKFITTING;

EID: 0031235238     PISSN: 10812865     EISSN: None     Source Type: Journal    
DOI: 10.1177/108128659700200307     Document Type: Article

References (19)

1. Horger, O. J. and Nelson, C. W.: Design of press- and shrink-fitted assemblies, Part I. J. Appl. Mech., 4, A183-A187 (1937).
2. Horger, O. J. and Nelson, C. W.: Design of press- and shrink-fitted assemblies, Part II. J. Appl. Mech., 5, A32-A36 (1938).
3. Antman, S. S. and Shvartsman, M. M.: The shrink-fit problem for aeolotropic nonlinearly elastic bodies. J. Elasticity, 37, 157-166 (1995).
4. Lundberg, G.: Die Festigkeit von Pressitzen. Das Kugellager, 19, 1-11 (1944).
5. Kollmann, F. G.: Rotating elasto-plastic interference fits. ASME J. Mech. Design, 103, 61-66 (1981).
6. Kollmann, F. G.: Die Auslegung elastisch-plastisch beanspruchter QuuerpreBverbände. Forsch. Ing.-Wes., 44, 1-11 (1978).
7. Güven, U.: The shrink fit with elastic-plastic hub exhibiting variable thickness. Acta Mech., 89, 65-72 (1991).
8. Güven, U.: Stress distribution in shrink fit with elastic-plastic hub exhibiting variable thickness. Int. J. Mech. Sci., 35, 39-46 (1993).
9. Güven, U.: On the applicability of Tresca's yield condition to the linear hardening rotating solid disk of variable thickness. ZAMM, 75, 397-398 (1995).
10. Davidson, T. E., Barton, C. S., Reiner, A. N., and Kendall, D. P.: Overstrain of high-strength open-end cylinders of intermediate diameter ratio, in Proceedings of the 1st Int. Congress on Experimental Mechanics, pp. 335-352, Pergamon, New York, 1963.
11. Johnson, W. and Mellor, P. B.: Engineering Plasticity, Ellis Horwood, Chichester, UK, 1983.
12. Nadai, A.: Theory of Flow and Fracture of Solids, Vol. 1, McGraw-Hill, New York, 1950.
13. Gao, X. -L.: An exact elasto-plastic solution for an open-ended thick-walled cylinder of a strain-hardening material. Int. J. Pres. Ves. Piping, 52, 129-144 (1992).
14. Rankin, A. W.: Shrink-fit stresses and deformations. J. Appl. Mech., 11, A77-A85 (1944).
15. Okubo, H.: The stress distribution in a shaft press-fitted with a collar. ZAMM, 32, 178-186 (1952).
16. Timoshenko, S. P. and Goodier, J. N.: Theory of Elasticity, 3rd ed., pp. 68-71, McGraw-Hill, New York, 1970.
17. Budiansky, B.: Extension of Michell's theorem to problems of plasticity and creep. Quart. Appl. Math., 16, 307-309 (1958).
18. Gao, X. -L.: A general solution of an infinite elastic plate with an elliptic hole under biaxial loading. Int. J. Pres. Ves. Piping, 67, 95-104 (1996).
19. Mendelson, A.: Plasticity: Theory and Application, Macmillan, New York, 1968.