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Effects of a Temperature Cycle on an Elastic-Plastic Shrink Fit with Solid Inclusion

Published online by Cambridge University Press:  05 May 2011

Werner Mack*
Affiliation:
Institut für Mechanik, Technische Universität Wien, Wiedner Hauptstraβe 8-10, A-1040 Wien, Austria
Manfred Plöchl*
Affiliation:
Institut für Mechanik, Technische Universität Wien, Wiedner Hauptstraβe 8-10, A-1040 Wien, Austria
Udo Gamer*
Affiliation:
Institut für Mechanik, Technische Universität Wien, Wiedner Hauptstraβe 8-10, A-1040 Wien, Austria
*
*Professor
**Doctor
*Professor
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Abstract

The stress distribution in a shrink fit with solid inclusion subject to homogeneous heating and subsequent cooling is investigated. It is presumed that both components are in a state of plane stress and exhibit the same elastic-plastic material behavior. Based on Tresca's yield condition and the associated flow rule, the modification of the stress distribution is studied analytically. In particular, the reduction of the interface pressure — and therefore of the transferable moment — caused by the occurrence of plastic deformation is discussed, and the criteria for the avoidance of yielding of the inclusion or full plasticization of the hub are given.

Type
Invited Paper
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2000

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References

REFERENCES

1Faupel, J. H. and Fisher, F. E., Engineering Design, 2nd Edition, Wiley, New York, U.S.A., pp. 2930 (1981).Google Scholar
2Kollmann, F. G., Welle-Nabe-Verbindungen, Springer, Berlin, Germany (1984).Google Scholar
3Lippmann, H., “The Effect of a Temperature Cycle on the Stress Distribution in a Shrink Fit,” Int. J. Plasticity, 8, pp. 567582 (1992).Google Scholar
4Kovács, Á., “Hardening Effects on the Stress Distribution in a Shrink Fit Under Cyclic Thermal Loading,” Periodica Polytechn. Ser. Mech. Eng., 35, pp. 4964 (1991).Google Scholar
5Kovács, Á., “Thermal Stresses in a Shrink Fit due to an Inhomogeneous Temperature Distribution,” Acta Mech., 105, pp. 173187 (1994).Google Scholar
6Kovács, Á., “Thermoelastic-Plastic Deformations of Shrink Fits,” Z. angew. Math. Mech., 74, pp. T310T312 (1994).Google Scholar
7Kovács, Á., “Residual Stresses in Thermally Loaded Shrink Fits,” Periodica Polytechn. Ser. Mech. Eng., 40, pp. 103112 (1996).Google Scholar
8Liu, J., Mannl, V. and Lippmann, H., “Modification of Residual Stresses in Shrink Fits due to Thermal Loading,” Proc. First Int. Symp. on Thermal Stresses and Related Topics, Thermal Stresses '95, Shizuoka University, Japan, pp. 595598 (1995).Google Scholar
9Mack, W. and Plöchl, M., “Transient Heating of a Rotating Elastic-Plastic Shrink Fit,” Int. J. Engng. Sci., in press.Google Scholar
10Mack, W. and Plöchl, M., “Instationäre Wärmebelastung eines rotierenden elastisch-plastischen Querpreβverbandes,” Z. angew. Math. Mech., 79, S2, pp. S465S466 (1999).Google Scholar
11Chen, W. F. and Han, D. J., Plasticity for Structural Engineers, Springer, New York, U.S.A. (1988).Google Scholar
12Noda, N., “Thermal Stresses in Materials with Temperature-Dependent Properties,” Thermal Stresses I (Hetnarski, R. B., ed.), North-Holland, Amsterdam, The Netherlands, pp. 391483 (1986).Google Scholar
13Gamer, U., “On the Quasi-Analytical Solutions of Elastic-Plastic Problems with Nonlinear Hardening,” Advances in Continuum Mechanics (Brüller, O., Mannl, V. and Najar, J., eds.), Springer, Berlin, Germany, pp. 168177 (1991).CrossRefGoogle Scholar
14Mack, W. and Bengeri, M., “Thermal Assembly of an Elastic-Plastic Shrink Fit with Solid Inclusion,” Int. J. Mech. Sci., 36, pp. 699705 (1994).Google Scholar
15Gamer, U., “Die Plastizierung des Innenteils eines elastisch-plastischen Querpreüverbands,” Konstruk-tion, 38, pp. 297300 (1986).Google Scholar