Summary
Based on Tresca's yield condition and its associated flow rule, a semianalytical method is presented for the calculation of thermal stresses due to steady-state thermal loading in an assembled shrink fit. The calculation is evaluated assuming plane stress conditions, linear elastic-perfectly plastic materials, and linearly temperature dependent yield stresses. Depending on the temperature gradient, different combinations of pure elastic and plastic zones arise in the shaft and in the hub.
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References
Kollmann, F. G.: Die Auslegung elastisch-plastisch beanspruchter Querpreßverbände. Forsch. Ing.-Wes.44, 1–11 (1978).
Kollmann, F. G., Önöz, E.: Ein verbessertes Auslegungsverfahren für elastisch-plastisch beanspruchte Preßverbände. Konstruktion35, 439–444 (1983).
Gamer, U., Lance, R. H.: Elastisch-plastische Spannungen im Schrumpfsitz. Forsch. Ing.-Wes.48, 192–198 (1982).
Orçan, Y., Gamer, U.: The shrink fit consisting of elastic hollow shaft and nonlinearly hardening elastic-plastic hub. Acta Mech.81, 97–108 (1990).
Mack, W.: Instationäre Fügespannungen in einem elastisch-plastischen Querpreßverband zweier Kreisringe. ZAMM65, T151-T152 (1983).
Mack, W.: Spannungen im thermisch gefügten elastisch-plastischen Querpreßverband mit elastischer Entlastung. Ing.-Arch.56, 301–313 (1986).
Faupel, J. H., Fischer, F. E.: Engineering design, p. 29. New York, Chichester, Brisbane, Toronto: J. Wiley 1981.
Lippmann, H.: The effect of a temperature cycle on the stress distribution in a shrink fit. Int. J. Plasticity8, 567–582 (1982).
Cordts, D.: Numerische Simulation des Fügens von Querpreßverbindungen. Konstruktion42, 278–284 (1990).
Radeloff-Bach, M.: Untersuchung des instationären Temperaturfeldes beim Fügen von Querpreßverbänden mittels finiter Elemente. Fortschr.-Ber VDI-Z. Reihe 1, Nr. 133, pp. 110–111 (1985).
Chakrabarty, J.: Theory of plasticity, p. 336. New York: McGraw-Hill. 1987.
Gamer, U.: The elastic-plastic shrink fit with supercritical interference. Acta Mech.61, 1–14 (1986).
Bland, D. R.: Elasto-plastic thick-walled tubes of work-hardening material subject to internal and external pressures and to temperature gradients. J. Mech. Phys. Solids4, 209–229 (1956).
Lippmann, H., Mahrenholtz, O.: Plastomechanik der Umformung metallischer Werkstoffe, Bd. 1, pp. 14–15, 313. Berlin Heidelberg New York: Springer 1967.
Bayazitoĝlu, Y., Özişik, M. N.: Elements of heat transfer, p. 149. New York: McGraw-Hill 1988.
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Kovács, Á. Thermal stresses in a shrink fit due to an inhomogeneous temperature distribution. Acta Mechanica 105, 173–187 (1994). https://doi.org/10.1007/BF01183950
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DOI: https://doi.org/10.1007/BF01183950