Автор |
Gao, Xin-Lin |
Автор |
Atluri, Satya, N. |
Дата выпуска |
1997 |
dc.description |
An analytical solution is obtained in this article for the axisymmetric shrink fit problem with a thin strain hardening hub and an elastic solid shaft. The solution is based on the deformation theory of Hencky, the yield criterion of von Mises, and the assumption of infinitesimal deformations. An elastic power law plastic material model is employed to represent the stressstrain relation of the hub material, with the compressibility of material being included. The solution is derived by using a stress formulation and with the help of a modified Nadai's auxiliary variable method and the extended Michell theorem. All expressions for the stress, strain, and displacement components are derived in explicit forms in terms of an auxiliary variable and four constant parameters that are determined from given boundary conditions by an iterative process. Three specific solutions are presented as limiting cases of the solution. Numerical results are also provided to show quantitatively applications of the solution. This solution, together with the related specific solutions and numerical results, furnishes a new theoretical basis for the mechanical design of shrink-fit sets. |
Издатель |
Sage Publications |
Название |
An Elasto-Plastic Analytical Solution for the Shrink-Fit Problem with a Thin Strain-Hardening Hub and an Elastic Solid Shaft |
Тип |
Journal Article |
DOI |
10.1177/108128659700200307 |
Print ISSN |
1081-2865 |
Журнал |
Mathematics and Mechanics of Solids |
Том |
2 |
Первая страница |
335 |
Последняя страница |
349 |
Аффилиация |
Gao, Xin-Lin, Department of Mechanical Engineering, University of Wisconsin Madison, Madison, WI 53706-1572 |
Аффилиация |
Atluri, Satya, N., Computational Modeling Center; Georgia Institute of Technology, Atlanta, GA 30332-0356 |
Выпуск |
3 |
Библиографическая ссылка |
[1] Horger, O. J. and Nelson, C. W.: Design of pressand shrink-fitted assemblies, Part I. J Appl. Mech., 4, A183-A187 (1937). |
Библиографическая ссылка |
[2] Horger, O. J. and Nelson, C. W.: Design of press and shrink-fitted assemblies, Part II. J. Appl. Mech., 5, A32-A36 (1938). |
Библиографическая ссылка |
[3] Antman, S. S. and Shvartsman, M. M.: The shrink-fit problem for aeolotropic nonlinearly elastic bodies. J. Elasticity, 37, 157-166 (1995). |
Библиографическая ссылка |
[4] Lundberg, G.: Die Festigkeit von Pressitzen. Das Kugellager, 19, 1-11 (1944). |
Библиографическая ссылка |
[5] Kollmann, F. G.: Rotating elasto-plastic interference fits. ASME J. Mech. Design, 103, 61-66 (1981). |
Библиографическая ссылка |
[6] Kollmann, F. G.: Die Auslegung elastisch-plastisch beanspruchter QuuerpreBverbande. Forsch. Ing.-Wes., 44, 1-11 (1978). |
Библиографическая ссылка |
[7] GUven, U.: The shrink fit with elastic-plastic hub exhibiting variable thickness. Acta Mech., 89, 65-72 (1991). |
Библиографическая ссылка |
[8] Guven, U.: Stress distribution in shrink fit with elastic-plastic hub exhibiting variable thickness. Int. J. Mech. Sci., 35, 39-46 (1993). |
Библиографическая ссылка |
[9] Guven, U.: On the applicability of Tresca's yield condition to the linear hardening rotating solid disk of variable thickness. ZAMM, 75, 397-398 (1995). |
Библиографическая ссылка |
[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. |
Библиографическая ссылка |
[11] Johnson, W. and Mellor, P. B.: Engineering Plasticity, Ellis Horwood, Chichester, UK, 1983. |
Библиографическая ссылка |
[12] Nadai, A.: Theory of Flow and Fracture of Solids, Vol. 1, McGraw-Hill, New York, 1950. |
Библиографическая ссылка |
[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). |
Библиографическая ссылка |
[14] Rankin, A. W.: Shrink-fit stresses and deformations. J. Appl. Mech., 11, A77-A85 (1944). |
Библиографическая ссылка |
[15] Okubo, H.: The stress distribution in a shaft press-fitted with a collar. ZAMM, 32, 178-186 (1952). |
Библиографическая ссылка |
[16] Timoshenko, S. P. and Goodier, J. N.: Theory of Elasticity, 3rd ed., pp. 68-71, McGraw-Hill, New York, 1970. |
Библиографическая ссылка |
[17] Budiansky, B.: Extension of Michell's theorem to problems of plasticity and creep. Quart. Appl. Math., 16, 307-309 (1958). |
Библиографическая ссылка |
[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). |
Библиографическая ссылка |
[19] Mendelson, A.: Plasticity: Theory and Application, Macmillan, New York, 1968. |