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Analytical Modelling of Elastic-Plastic Interference Fit Joints

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The interference fit is a widely process, used to produce a joint assembly of two parts achieved by friction. It is a popular type of joint in machine elements and it is found in many field applications related to the automotive, aerospace, oil and gas and shipbuilding industries. Consequently, a better understanding of its limit behavior together with an accurate evaluation of the residual stresses generated by this process are very important for the design of mechanical components requiring high optimized performance. This work focuses on the analytical development of the residual stresses when the two assembled parts are circular cylinders and deform elasto-plastically under plane strain condition. The constitutive law that governs their material strain hardening behavior is assumed to follow a general power law which also covers the particular cases of elastic perfectly plastic and bilinear hardening. To validate the developed analytical model (AM), the finite element method (FEM) was used and the results showed good agreement between the two approaches. The obtained results show that the stresses increase when the interference value increases causing maximum stress intensity at the inner surface of the two assembled parts to exceed their material yield stress. After hollow shaft plastic collapse, any increase in interference results in a small increase in residual contact pressure with a large increase of the equivalent stresses localized at the hollow shaft inner surface. The method could be used to determine the maximum value of the interference in order to prevent assembly failure.
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Shrink Fit; Residual Stresses; Interference; Plastic Deformation

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Shigley J.E. & Mischke C.R.. Standard handbook of machine design, 17.13-17.14, McGraw-Hill, New York, 1988.

S. Timoshenko and J. N. Goodier. Theory of Elasticity. 3rd Edn. McGraw-Hill, New York (1970).

U. Gamer and R. H. Lance. Residual stress in shrink fits. Int. I. Mech. Sci. Vol. 25, No. 7, pp. 465-470, 1983).

U. Giiven. The shrink fit with elastic-plastic hub exhibiting variable thickness. Aeta Meehanica 89, 65-72, 1991.

Zhang Y., McClain B. & Fang X.D. Design of interference fits via finite element method. International Journal of Mechanical Sciences, 42: 1835-1850, 2000.

Adnan Özel, Şemsettin Temiz, Murat Demir Aydin & Sadri Şen. Stress analysis of shrink-fitted joints for various fit forms via finite element method. Materials and Design, 26: 281-289, 2005.

Lewis R., Marshall M.B. & Dwyer-Joyce R.S. Measurement of interface pressure in interference fits. Journal of Mechanical Engineering Sciences, Part C, 219(2): 127-139, 2005.

U. GAMER and R. H. LANCE, Elastisch-plastische Spannungen im Schrupfsitz. Forsch. Ing. -Wes. 48, 192, 1982.

U. GAMER, Der elastisch-plastische QuerpreBverband bei verschiedenen FlieBgrenzen von Innen- und AuBenteil. Forsch. Ing. -Wes. $6, 166, 1990.

Sen S. & Aksakal B. Stress analysis of interference fitted shaft-hub system under transient heat transfer conditions. Materials and Design, 25: 407-417, 2004.

Yang G.M., Coquille J.C., Fontaine J.F. & Lambertin M. Influence of roughness on characteristics of tight interference fit of a shaft and a hub. International Journal of Solids and Structures, 38: 7691- 7701, 2001.

J.C. Pérez Cerdán et al.Analysis of contact stresses in interference fit joints with circumferential round notch on the hub. 13th World Congress in Mechanism and Machine Science, Guanajuato, México, 19-25 June, 2011.

Venkateswara Rao P., Ramamoorthy & B. Radhakkrishnan V. Role of interacting surfaces in the performance enhancement of interference fits. International Journal ofMachine Tools and Manufacture. 35(10): 1375-1384, 1995.

Parsons B. & Wilson E.A., A method for determining the surface contact stresses resulting from interference fits. ASME, Journal of Engineering for Industry, pages 208-218, February 1970.

Peterson E. & Wahl A.M.. Fatigue of shafts at fitted members with related photoelastic analysis. ASME, Journal of Applied Mechanics, 57, 1935.

Huang, X. P. 2005, “A General Autofrettage Model of A Thick-walled Cylinder Based on Tensile-compressive Stress-strain Curve of a material,” J. Stain. Anal., 40(6), pp. 599–607, 2005.

Merah, N., Al-Zayer, A., Shuaib, A., and Arif, A., 2003, “Finite Element Evaluation of Clearance Effect on Tube-to-Tubesheet Joint Strength,” Int. J. Pressure Vessels Piping, 80_12_, pp. 879–885.


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