DOI QR코드

DOI QR Code

Mean moment effect on circular thin-walled tubes under cyclic bending

  • Chang, Kao-Hua (Department of Engineering Science, National Cheng Kung University) ;
  • Pan, Wen-Fung (Department of Engineering Science, National Cheng Kung University) ;
  • Lee, Kuo-Long (Department of Computer Application Engineering, Far East College)
  • 투고 : 2005.09.27
  • 심사 : 2007.11.22
  • 발행 : 2008.03.30

초록

In this paper, experimental and theoretical investigations of the effect of the mean moment on the response and collapse of circular thin-walled tubes subjected to cyclic bending are discussed. To highlight the influence of the mean moment effect, three different moment ratios r (minimum moment/ maximum moment) of -1, -0.5 and 0, respectively, were experimentally investigated. It has been found that the moment-curvature loop gradually shrinks with the number of cycles, and becomes stable after a few cycles for symmetric cyclic bending (r = -1). However, the moment-curvature loop exhibits ratcheting and increases with the number of cycles for unsymmetric cyclic bending (r = -0.5 or 0). In addition, although the three groups of tested specimens had three different moment ratios, when plotted in a log-log scale, three parallel straight lines describe the relationship between the controlled moment range and the number of cycles necessary to produce buckling. Finally, the endochronic theory combined with the principle of virtual work was used to simulate the relationship among the moment, curvature and ovalization of thin-walled tubes under cyclic bending. An empirical formulation was proposed for simulating the relationship between the moment range and the number of cycles necessary to produce buckling for thin-walled tubes subjected to cyclic bending with different moment ratios. The results of the experimental investigation and the simulation are in good agreement with each other.

키워드

참고문헌

  1. Corona, E. and Kyriakides, S. (1988), "On the collapse of inelastic tubes under combined bending and pressure", Int. J. Solids Struct., 24(5), 505-535 https://doi.org/10.1016/0020-7683(88)90005-4
  2. Corona, E. and Kyriakides, S. (1991), "An experimental investigation of the degradation and buckling of circular tubes under cyclic bending and external pressure", Thin Wall. Struct., 12, 229-263 https://doi.org/10.1016/0263-8231(91)90048-N
  3. Corona, E. and Vaze, S. (1996), "Buckling of elastic-plastic square tubes under bending", Int. J. Mech. Sci., 38(7), 753-775 https://doi.org/10.1016/0020-7403(95)00081-X
  4. Elchalakani, M., Zhao, X.L. and Grzebieta, R.H. (2002), "Plastic mechanism analysis of circular tubes under pure bending", Int. J. Mech. Sci., 44, 1117-1143 https://doi.org/10.1016/S0020-7403(02)00017-6
  5. Elchalakani, M., Zhao, X.L. and Grzebieta, R.H. (2004), "Concrete-filled circular tubes subjected to constant amplitude cyclic pure bending", Eng. Struct., 26, 2125-2135 https://doi.org/10.1016/j.engstruct.2004.07.012
  6. Fabian, O. (1977), "Collapse of cylindrical, elastic tubes under combined bending, pressure and axial loads", Int. J. Solids Struct., 13, 1257-1273 https://doi.org/10.1016/0020-7683(77)90099-3
  7. Fan, J. (1983), "A comprehensive numerical study and experimental verification of endochronic plasticity", Ph.D. Dissertation, Department of Aerospace Engineering and Applied Mechanics, University of Cincinnati
  8. Gellin, S. (1980), "The plastic buckling of long cylindrical shells under pure bending", Int. J. Solids Struct., 16, 397-407 https://doi.org/10.1016/0020-7683(80)90038-4
  9. Jiao, H. and Zhao, X.L. (2004), "Section slenderness limits of very high strength circular steel tubes in bending", Thin Wall. Struct., 42, 1257-1271 https://doi.org/10.1016/j.tws.2004.03.020
  10. Kyriakides, S. and Shaw, P.K. (1982), "Response and stability of elastoplastic circular pipes under combined bending and external pressure", Int. J. Solids Struct., 18(11), 957-973 https://doi.org/10.1016/0020-7683(82)90086-5
  11. Kyriakides, S. and Shaw, P.K. (1987), "Inelastic buckling of tubes under cyclic loads", J. Press. Vessel Technol., ASME, 109, 169-178 https://doi.org/10.1115/1.3264891
  12. Lee, K.L. and Pan, W.F. (2001), "Viscoplastic collapse of titanium alloy tubes under cyclic bending", Struct. Eng. Mech., 11(3), 315-324 https://doi.org/10.12989/sem.2001.11.3.315
  13. Lee, K.L., Pan, W.F. and Hsu, C.M. (2004), "Experimental and theoretical evaluations of the effect between diameter-to-thickness ratio and curvature-rate on the stability of circular tubes under cyclic bending", JSME Int. J., Series A, 47(2), 212-222 https://doi.org/10.1299/jsmea.47.212
  14. Lee, K.L., Pan, W.F. and Kuo, J.N. (2001), "The influence of the diameter-to-thickness ratio on the stability of circular tubes under cyclic bending", Int. J. Solids Struct., 38, 2401-2413 https://doi.org/10.1016/S0020-7683(00)00116-5
  15. Pan, W.F. and Chern, C.H. (1997), "Endochronic description for viscoplastic behavior of materials under multiaxial loading", Int. J. Solids Struct., 34(17), 2131-2159 https://doi.org/10.1016/S0020-7683(96)00118-7
  16. Pan, W.F. and Fan, C.H. (1998), "An experimental study on the effect of curvature-rate at preloading stage on subsequent creep or relaxation of thin-walled tubes under pure bending", JSME Int. J., Series A, 41(4), 525-531
  17. Pan, W.F. and Her, Y.S. (1998), "Viscoplastic collapse of thin-walled tubes under cyclic bending", J. Eng. Mater. Tech., ASME, 120, 287-290 https://doi.org/10.1115/1.2807015
  18. Pan, W.F. and Lee, K.L. (2002), "The effect of mean curvature on the response and collapse of thin-walled tubes under cyclic bending", JSME Int. J., Series A, 45(2), 309-318 https://doi.org/10.1299/jsmea.45.309
  19. Pan, W.F., Lee, T.H. and Yeh, W.C. (1996), "Endochronic analysis for finite elasto -plastic deformation and application to metal tube under torsion and metal rectangular block under biaxial compression", Int. J. Plast., 12(10), 1287-1316 https://doi.org/10.1016/S0749-6419(95)00054-2
  20. Pan, W.F., Wang, T.R. and Hsu, C.M. (1998), "A curvature-ovalization measurement apparatus for circular tubes under cyclic bending", Exp. Mech., 38(2), 99-102 https://doi.org/10.1007/BF02321651
  21. Reddy, B.D. (1979), "An experimental study of the plastic buckling of circular cylinders in pure bending", Int. J. Solids Struct., 15, 669-682 https://doi.org/10.1016/0020-7683(79)90066-0
  22. Shaw, P.K. and Kyriakides, S. (1985), "Inelastic analysis of thin-walled tubes under cyclic bending", Int. J. Solids Struct., 21(11), 1073-1110 https://doi.org/10.1016/0020-7683(85)90044-7
  23. Valanis, K.C. (1980), "Fundamental consequence of a new intrinsic time measure-plasticity as a limit of the endochronic theory", Arch. Mech., 32, 171-191
  24. Vaze, S. and Corona, E. (1998), "Degradation and collapse of square tubes under cyclic bending", Thin Wall. Struct., 31, 325-341 https://doi.org/10.1016/S0263-8231(98)00018-4

피인용 문헌

  1. Bending ratcheting tests of Z2CND18.12 stainless steel vol.35, pp.1, 2012, https://doi.org/10.1016/j.ijfatigue.2011.04.008
  2. The Influence of Diameter-to-Thickness Ratios on the Response and Collapse of Sharp-Notched Circular Tubes under Cyclic Bending vol.28, pp.03, 2012, https://doi.org/10.1017/jmech.2012.55
  3. Buckling failure of 310 stainless steel tubes with different diameter-to-thickness ratios under cyclic bending vol.10, pp.3, 2010, https://doi.org/10.12989/scs.2010.10.3.245
  4. Endochronic Simulation on the Effect of Curvature Rate at the Preloading Stage on the Subsequent Creep or Relaxation of Thin-Walled Tubes Under Pure Bending vol.27, pp.04, 2011, https://doi.org/10.1017/jmech.2011.54
  5. Experimental study of SS304L cylindrical shell with/without cutout under cyclic axial loading vol.58, pp.1, 2012, https://doi.org/10.1016/j.tafmec.2012.02.005
  6. Experimental study of SS316L cantilevered cylindrical shells under cyclic bending load vol.82, 2014, https://doi.org/10.1016/j.tws.2014.03.010
  7. Experimental study of SS304L cylindrical shell with/without cutout under cyclic combined and uniaxial loading vol.17, pp.2, 2017, https://doi.org/10.1007/s13296-017-6015-7
  8. Buckling life estimation of circular tubes under cyclic bending vol.46, pp.2, 2009, https://doi.org/10.1016/j.ijsolstr.2008.08.024
  9. Cyclic behavior of SS316L cylindrical shells under pure torsional load: An experimental investigation vol.109, 2016, https://doi.org/10.1016/j.tws.2016.10.003
  10. On the ratcheting response of circular steel pipes subject to cyclic inelastic bending: A closed-form analytical solution vol.117, 2016, https://doi.org/10.1016/j.ijmecsci.2016.09.004
  11. Failure life estimation of sharp-notched circular tubes with different notch depths under cyclic bending vol.60, pp.3, 2016, https://doi.org/10.12989/sem.2016.60.3.387
  12. Mechanical behavior and buckling failure of sharp-notched circular tubes under cyclic bending vol.34, pp.3, 2010, https://doi.org/10.12989/sem.2010.34.3.367
  13. Numerical and Experimental Investigation of SS304L Cylindrical Shell with Cutout Under Uniaxial Cyclic Loading 2019, https://doi.org/10.1007/s40997-017-0120-2
  14. Collapse of Sharp-Notched 6061-T6 Aluminum Alloy Tubes Under Cyclic Bending vol.16, pp.07, 2016, https://doi.org/10.1142/S0219455415500352
  15. Mean moment effect on sharp-notched circular tubes under cyclic bending vol.27, pp.9, 2013, https://doi.org/10.1007/s12206-013-0712-8
  16. Response of sharp-notched circular tubes under bending creep and relaxation vol.1, pp.2, 2014, https://doi.org/10.1299/mej.2014smm0005
  17. Experimental and numerical investigations on the ratcheting characteristics of cylindrical shell under cyclic axial loading vol.44, pp.6, 2008, https://doi.org/10.12989/sem.2012.44.6.753
  18. Response of round-hole tubes submitted to pure bending creep and pure bending relaxation vol.13, pp.9, 2008, https://doi.org/10.1177/16878140211049124
  19. Mean curvature effect on the response and failure of round-hole tubes submitted to cyclic bending vol.13, pp.11, 2021, https://doi.org/10.1177/16878140211062273