Localization and propagation of curvature under pure bending in steel tubes with Lüders bands

International Journal of Solids and Structures

Volumn 45, Issue 10, 2008, Pages 3074-3087

  Kyriakides, Stelios ^a   Ok, Ali ^a   Corona, Edmundo ^b  

^a The University of Texas at Austin   (United States)

^b University of Notre Dame   (United States)

Author keywords

Bending of pipe; Localization; L ders bands

Indexed keywords

BENDING (DEFORMATION); PLASTIC DEFORMATION; ROTATION; STEEL STRUCTURES; STRAIN; THICKNESS MEASUREMENT;

BENDING OF PIPE; OVALIZATION; PLASTIC BENDING; STEEL TUBES;

TUBES (COMPONENTS);

EID: 40949152759     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2008.01.013     Document Type: Article

References (23)

1. Aguirre F., Kyriakides S., and Yun H.D. Bending of steel tubes with Lüders bands. Int. J. Plasticity 20 (2004) 1199-1225
2. Brazier L.G. On the flexure of thin cylindrical shells and other thin sections. Proc. Royal Soc. London A 116 (1927) 104-114
3. Butler J.F. Lüders front propagation in low carbon steels. J. Mech. Phy. Solids 10 (1962) 313-334
4. Corona E., Shaw J.A., and Iadicola M.A. Buckling of steel bars with Lüders bands. Int. J. Solids Struct. 39 (2002) 3313-3336
5. Corona E., and Kyriakides S. On the collapse of inelastic tubes under combined bending and pressure. Int. J. Solids Struct. 24 (1988) 505-535
6. Corona E., and Kyriakides S. An experimental investigation of the degradation and buckling of circular tubes under cyclic bending and external pressure. Thin-walled Struct. 12 (1991) 229-263
7. Cottrell A.H., and Bilby B.A. Dislocation theory of yielding and strain ageing of iron. Proc. Physical Soc. 62/I-A (1948) 49-62
8. Hall E.O. Yield Point Phenomena in Metals and Alloys (1970), Plenum Press, New York
9. Johnston W.G., and Gilman J.J. Dislocation velocities, dislocation densities, and plastic flow in lithium fluoride crystals. J. Appl. Phys. 30 (1959) 129-144
10. Ju G.T., and Kyriakides S. Bifurcation versus limit load instabilities of elastic-plastic tubes under bending and pressure. ASME J. Offshore Mech. Arctic Eng. 113 (1991) 43-52
11. Ju G.T., and Kyriakides S. Bifurcation and localization instabilities in cylindrical shells under bending: part II predictions. Int. J. Solids Struct. 29 (1992) 1143-1171
12. Kyriakides S. Propagating instabilities in structures. In: Hutchinson J.W., and Wu T.Y. (Eds). Advances in Applied Mechanics vol. 30 (1994), Academic Press, Boston, MA 67-189
13. Kyriakides, S. 2001. Propagating instabilities in materials. In: Materials Science for the 21st Century, Society of Materials Science, Japan, vol. 1, pp. 316-325, May 2001.
14. Kyriakides S., and Corona E. Mechanics of Offshore Pipelines: Volume 1 Buckling and Collapse (2007), Elsevier, Oxford, UK, Burlington, MA
15. Kyriakides S., and Ju G.T. Bifurcation and localization instabilities in cylindrical shells under bending: part I experiments. Int. J. Solids Struct. 29 (1992) 1117-1142
16. Kyriakides S., and Miller J.E. On the propagation of Lüders bands in steel strips. ASME J. Appl. Mech. 67 (2000) 645-654
17. Lomer W.M. The yield phenomenon in polycrystalline mild steel. J. Mech. Phys. Solids 1 (1952) 64-73
18. Nacar A., Needleman A., and Ortiz M. A finite element method for analyzing localization in rate dependent solids at finite strains. Comp. Meth. Appl. Mech. Eng. 73 (1989) 235-258
19. Ortiz M., Leroy Y., and Needleman A. A finite element method for localized failure analysis. Comp. Meth. Appl. Mech. Eng. 61 (1987) 189-214
20. Shaw J.A., and Kyriakides S. Thermomechanical aspects of NiTi. J. Mech. Phys. Solids 43 (1995) 1243-1281
21. Shaw J.A., and Kyriakides S. On the nucleation and propagation of phase transformation fronts in a NiTi alloy. Acta Materialia 45 (1997) 683-700
22. Simo J.C., and Armero F. Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes. Int. J. Numerical Meth. Eng. 33 (1992) 1413-1449
23. Wilson E.L., Taylor R.L., Doherty W.P., and Ghaboussi J. Incompatible displacement models. In: Fenves S.J., et al. (Ed). Numerical and Computer Models in Structural Mechanics (1973), Academic Press, New York