Structural Engineering and Mechanics

  • 제47권6호
  • /
  • Pages.839-856
  • /
  • 2013
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Effects of thickness variations on the thermal elastoplastic behavior of annular discs

  • Wang, Yun-Che (Department of Civil Engineering, National Cheng Kung University) ;
  • Alexandrov, Sergei (A. Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences) ;
  • Jeng, Yeau-Ren (Department of Mechanical Engineering and Advanced Institute of Manufacturing with High-tech Innovations, National Chung Cheng University)
  • 투고 : 2013.06.29
  • 심사 : 2013.08.31
  • 발행 : 2013.09.25
⟨ 이전 논문 다음 논문 ⟩

초록

Metallic annular discs with their outer boundary fully constrained are studied with newly derived semi-analytical solutions for the effects of thickness variations under thermal loading and unloading. The plane stress and axisymmetric assumptions were adopted, and the thickness of the disk depends on the radius hyperbolically with an exponent n. Furthermore, it is assumed that the stress state is two dimensional and temperature is uniform in the domain. The solutions include the elastic, elastic-plastic and plastic-collapse behavior, depending on the values of temperature. The von Mises type yield criterion is adopted in this work. The material properties, Young's modulus, yield stress and thermal expansion coefficient, are assumed temperature dependent, while the Poisson's ratio is assumed to be temperature independent. It is found that for any n values, if the normalized hole radius a greater than 0.6, the normalized temperature difference between the elastically reversible temperature and plastic collapse temperature is a monotonically decreasing function of inner radius. For small holes, the n values have strong effects on the normalized temperature difference. Furthermore, it is shown that thickness variations may have stronger effects on the strain distributions when temperature-dependent material properties are considered.

키워드

참고문헌

  1. Alujevic, A., Les, P. and Zupec, J. (1993), "Thermal yield of a rotating hyperbolic disk," Zeitschrift fur Angewandte Mathematik und Mechanik (ZAMM), 73, T283-T287.
  2. Alexandrov, S., Jeng, Y.R. and Lyamina, E. (2012), "Influence of pressure-dependency of the yield criterion and temperature on residual stresses and strains in a thin disk", Struct. Eng. Mech., 44, 289-303. https://doi.org/10.12989/sem.2012.44.3.289
  3. Alexandrova, N. and Alexandrov, S. (2004), "Elastic-plastic stress distribution in a plastically anisotropic rotating disk", Trans. ASME J. Appl. Mech., 71, 427-429. https://doi.org/10.1115/1.1751183
  4. Argeso, H. and Eraslan, A.N. (2008), "On the use of temperature-dependent physical properties in thermomechanical calculations for solid and hollow cylinders", Int. J. Therm. Sci., 47, 136-146. https://doi.org/10.1016/j.ijthermalsci.2007.01.029
  5. Bengeri, M. and Mack, W. (1994), "The influence of the temperature dependence of the yield stress on the stress distribution in a thermally assembled elastic-plastic shrink fit", Acta Mech., 103, 243-257. https://doi.org/10.1007/BF01180229
  6. COMSOL website (2013), http://www.comsol.com
  7. Eraslan, A.N. (2002), "Von Mises yield criterion and nonlinearly hardening variable thickness rotating annular disks with rigid inclusion", Mech. Res. Commun., 29, 339-350. https://doi.org/10.1016/S0093-6413(02)00282-3
  8. Eraslan, A.N. (2003), "Elastic-plastic deformations of rotating variable thickness annular disks with free, pressurized and radially constrained boundary conditions", Int. J. Mech. Sci., 45(4), 643-667. https://doi.org/10.1016/S0020-7403(03)00112-7
  9. Eraslan, A.N., Orcan, Y. and Guven, U. (2005), "Elastoplastic analysis of nonlinearly hardening variable thickness annular disks under external pressure", Mech. Res. Commun., 32(3), 306-315. https://doi.org/10.1016/j.mechrescom.2004.06.002
  10. Eraslan, A.N. and Orcan, Y. (2002), "On the rotating elastic-plastic solid disks of variable thickness having concave profiles", Int. J. Mech. Sci., 44(7), 1445-1466. https://doi.org/10.1016/S0020-7403(02)00038-3
  11. Gamer, U. (1984), "Elastic-plastic deformation of the rotating solid disk", Archive Appl. Mech. (Ingenieur Archiv), 54(5), 345-354.
  12. Guven, U. (1998), "Elastic-plastic stress distribution in a rotating hyperbolic disk with rigid inclusion", Int. J. Mech. Sci., 40(1), 97-109. https://doi.org/10.1016/S0020-7403(97)00036-2
  13. Guven, U. and Altay, O. (1998), "Linear hardening solid disk with rigid casing subjected to a uniform heat source", Mech. Res. Comm., 25(6), 679-684. https://doi.org/10.1016/S0093-6413(98)00087-1
  14. Horstemeyer, M.F. and Bammann, D.J. (2010), "Historical review of internal state variable theory for inelasticity", International Journal of Plasticity, 26, 1310-1334. https://doi.org/10.1016/j.ijplas.2010.06.005
  15. Kovacs, A. (1994), "Thermal stresses in a shrink fit due to an inhomegeneous temperature distribution", Acta Mech., 105, 173-187. https://doi.org/10.1007/BF01183950
  16. Lenard, J. and Haddow, J.B. (1972), "Plastic collapse speeds for rotating cylinders", Int J Mech Sci., 14(5), 285-292. https://doi.org/10.1016/0020-7403(72)90084-7
  17. Lippmann, H. (1992), "The effect of temperature cycle on the stress distribution in a shrink fit", Int. J. Plasticity, 8, 567-582. https://doi.org/10.1016/0749-6419(92)90031-7
  18. Noda., N. (1991), "Thermal stresses in materials with temperature-dependent properties", Appl. Mech. Rev., 44, 383-397. https://doi.org/10.1115/1.3119511
  19. Orcan, Y. and Gamer ,U. (1994), "On the expansion of plastic regions in the annular parts of a shrink fit during assemblage", Z. Angew. Math. Mech., 74, 25-35. https://doi.org/10.1002/zamm.19940740107
  20. Rees, D.W.A. (1999), "Elastic-plastic stresses in rotating disks by von Mises and Tresca", Zeitschrift fur Angewandte Mathematik und Mechanik (ZAMM), 79(4), 281-288. https://doi.org/10.1002/(SICI)1521-4001(199904)79:4<281::AID-ZAMM281>3.0.CO;2-V
  21. Thompson, A.S. and Lester, P.A. (1946), "Stresses in rotating disks at high temperatures", J. Appl. Mech., 13, A45-A52.
  22. Vivio, F. and Vullo, L. (2010), "Elastic-plastic analysis of rotating disks having non-linearly variable thickness: residual stresses by overspeeding and service stress state reduction", Ann. Solid Struct. Mech., 1, 87-102. https://doi.org/10.1007/s12356-010-0007-z
  23. Withers., P.J. (2007), "Residual stress and its role in failure", Rep. Prog. Phys., 70, 2211-2264. https://doi.org/10.1088/0034-4885/70/12/R04
  24. You, L.H. and Zhang, J.J. (1999), "Elastic-plastic stresses in a rotating solid disk", Int. J. Mech. Sci., 41(3), 269-282. https://doi.org/10.1016/S0020-7403(98)00049-6
  25. Zimmerman, R.W. and Lutz, M.P. (1999), "Thermal stresses and thermal expansion in a uniformly heated functionally graded cylinder", J. Therm. Stresses, 22, 177-188. https://doi.org/10.1080/014957399280959

피인용 문헌

  1. Plastic behavior of circular discs with temperature-dependent properties containing an elastic inclusion vol.58, pp.4, 2016, https://doi.org/10.12989/sem.2016.58.4.731
  2. Elasto-plastic thermal stress analysis of functionally graded hyperbolic discs vol.62, pp.5, 2013, https://doi.org/10.12989/sem.2017.62.5.587
  3. Influence of the Bauschinger Effect on the Distribution of Residual Stresses in a Thin Hollow Hyperbolic Disc under External Pressure vol.972, pp.None, 2019, https://doi.org/10.4028/www.scientific.net/msf.972.105
  4. Residual Stress Analysis of an Orthotropic Composite Cylinder under Thermal Loading and Unloading vol.11, pp.3, 2013, https://doi.org/10.3390/sym11030320
  5. Residual stress in an elastoplastic annular disc interacting with an elastic inclusion vol.8, pp.3, 2013, https://doi.org/10.12989/csm.2019.8.3.273