An elastic-plastic hardening-softening cantilever beam subjected to a force pulse at its tip: A model for pipe whip

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 454, Issue 1972, 1998, Pages 997-1029

  Reid, S R ^a   Yu, T X ^b   Yang, J L ^c  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

^b HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

^c BEIHANG UNIVERSITY   (China)

Author keywords

Dynamic structural plasticity; Elastic plastic beams; Hardening softening beams; Impulsive loading; Pipe ovalization; Pipe whip

Indexed keywords

EID: 0000538516     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1998.0194     Document Type: Article

References (32)

1. Ades, C. S. 1957 Bending strength of tubing in the plastic range. J. Aero. Sci. 24, 605-608.
2. Bazant, Z. P., Belytschko, T. B. & Chang, T. P. 1984 Continuum theory for strain-softening. ASCE J, Engng Mech. 110, 16G6-1692.
3. Brazier, L. G. 1926 On the flexure of thin cylindrical shells and other sections. Proc. R. Soc. Land. A116, 104-114.
4. Comi, C. & Corigliano, A. 1996 On uniqueness in the dynamic finite-step problem in gradientdependent softening plasticity. Int. J. Solids Struct. 33, 3881-3902.
5. Comi, C., Corigliano, A. & Maier, G. 1992 Dynamic analysis of elastoplastic softening discretized structures. ASCE J. Engng Mech. 118, 2352-2375.
6. Fofrestal, M. J. &: Sagartz, M. J. 1978 Elastic-plastic response of 304 stainless steel beams to impulsive loads. ASME J. Appl. Mech. 45, 6857687.
7. Gellin, S. 1979 The plastic buckling of long cylindrical shells under pure bending. Int. J. Solids Struct. 16, 397-406.
8. Johnson, W. 1972 Impact strength of materials. Edward Arnold.
9. Jones, N. 1989 Structural impact.'Cambridge University Press.
10. Ju, G. T. & Kyriakides, S. 1992 Bifurcation and localization instabilities in cylindrical shells under bending. II. Prediction. Int. J. Solids Struct. 29, 1143-1171.
11. Kyriakides, S. & Ju, G. T. 1992 Bifurcation and localization instabilities in cylindrical shells under bending. I. Experiments. Int. J. Solids Struct. 29, 1117-1142.
12. Maier, G. 1986 On softening flexural behaviour in elastic-plastic beams. Studi Ricerche 8, 85-117.
13. Maier, G. & Perego, U. 1992 Effects of softening in elastic-plastic structural dynamics. Int. J. Num. Meth. Engng 34, 319-347.
14. Murray, N. W. & Bilston, P. 1992 Local buckling in thin-walled pipes being bent in the plastic range. Thin-Walled Struct. 14,411-434.
15. Reddy, B. D. 1979 An experimental study of the plastic buckling of circular cylinders in pure bending. Int. J. Solids Struct. 15, 669-676.
16. Reid, S. R. & Gui, X. G. 1987 On the elastic-plastic deformation of cantilever beams subjected to tip impact. Int. J. Impact Engng G, 109-127.
17. Reid, S. R. fe Wang, B. 1995a Large deflection analysis of whipping pipes. I. Rigid, perfectly plastic model. J. Engng Mechs. Div. ASCE 121, 881-887.
18. Reid, S. R. & Wang, B. 1995& Large deflection analysis of whipping pipes. II. Rigid, perfectly plastic model with elastic deformation at the root. J. Engng Mechs. Div. ASCE 121, 888-895.
19. Reid, S. R., Yu, T. X. & Yang, J. L. 1994 Hardening-softening behaviour of circular pipes under bending and tension. Int. J. Mech. Sci. 36, 1073-1085.
20. Reid, S. R., Yu, T. X. & Yang, J. L. 1995 Response of an elastic-plastic tubular cantilever beam subjected to a force pulse at its tip. Int. J. Solids Struct. 32, 3407-3421.
21. Reid, S. R., Yu, T. X., Yang, J. L. & Corbett, G. G. 1996 Dynamic elastic-plastic behaviour of whipping pipes: experiments and theoretical model. Int. J. Impact Engng 18, 703-733.
22. Salmon, M. A. & Verma, V. K. 1976 Rigid plastic beam model for pipe whip analysis. J. Engng. Mech. Div. ASCE 102, 415-430.
23. Stronge, W. J. & Yu, T. X. 1993 Dynamic models for structural plasticity. Springer.
24. Symonds, P. S. 1967 Survey of methods of analysis for plastic deformation of structures under dynamic loading. Brown University Report, BU/NSRDC/1-67.
25. Symonds, P. S. 1981 Elastic-plastic deflections due to pulse loading. In Dynamic response of structures (ed. G. Hart), pp. 887-901. New York: ASCE.
26. Symonds, P. S. & Fleming, W. T. 1984 Parkes revisited: on rigid plastic and elastic-plastic dynamicstructural analysis. Int. J. Impact Engng 2, 1-36.
27. Symonds, P. S. & Frye, C. W. G. 1988 On the relation between rigid-plastic and elastic-plastic predictions of response to pulse loading. Int. J. Impact Engng 7, 139-149.
28. Symonds, P. S., Kolsky, H. & Mosquera, J. M. 1984 Simple elastic-plastic method for pulse loading-comparisons with experiments and finite element solutions. In Mechanical properties at high rates of strain (ed. J. Harding), pp. 479-486. Institute of Physics, Conference Series no. 70.
29. Wang, B. 1991 Response of two-dimensional piping systems during pipe whip. Ph.D thesis, University of Manchester (UMIST).
30. Wood, R. H. 1968 Some controversial and curious developments in the plastic theory of struc-tures. In Engineering plasticity (cd. J. Heyman & F. A. Leckie). Cambridge University Press.
31. Yu, T. X. 1993 Elastic effects in the dynamic plastic response of structures. In Structural crash-worthiness and failure (ed. N. Jones & T. Wierzbicki), pp. 341-384. Elsevier.
32. Yu, T. X., Yang, J. L. & Reid, S. R. 1997 Interaction between reflected elastic flexural waves and a plastic 'hinge' in the dynamic response of pulse loaded beams. Int. J. Impact Engng 19, 457-475.