Behaviour of axially crushed corrugated tubes

International Journal of Mechanical Sciences

Volumn 39, Issue 3, 1997, Pages 249-261

  Singace, A A ^a   El Sobky, H ^b  

^a UNIVERSITY OF BAHRAIN   (Bahrain)

^b UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

Collapse mode; Corrugated tubes; Crashworthiness of tubes; Deceleration pulse; Elastic stiffness; Energy absorption; Lead uniformity; Overshoot

Indexed keywords

CORRUGATED METAL; ENERGY ABSORPTION; FOAMS; FRACTURE MECHANICS; HEAT TREATMENT; LOADS (FORCES); OPTIMIZATION; STIFFNESS;

CORRUGATED TUBES;

COLLAPSIBLE TUBES;

EID: 0031103748     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0020-7403(96)00022-7     Document Type: Article

References (40)

1. W. Johnson and S. R. Reid, Metallic energy dissipating systems. Appl. Mech. Rev. 3, 277 (1978).
2. N. Jones and T. Wierzbicki (eds), Structural Crashworthiness. Butterworths, London (1983).
3. N. Jones and T. Wierzbicki (eds), Structural Crashworthiness and Failure. Elsevier Applied Science, London (1993).
4. T. Wierzbicki and N. Jones (eds), Structural Failure. Wiley and Sons, New York (1989).
5. A. P. Coppa, On the mechanism of buckling of circular cylindrical shells under longitudinal impact. TIS Report R60SD494. General Electric Co., PA, U.S.A. (1966).
6. M. Essliner and B. Geier. Buckling and postbuckling behaviour of conical shells subjected to axisymmetric loading and of cylinders subject to bending, in Theory of Shells (edited by W. T. Koiter and G. K. Mikhailov). North-Holland, (1980).
7. E. J. Brabin, Energy-absorbing devices used in crash testing. Bull. Motor Ind. Res. Ass. 2, 11-18 (1968).
8. B. Budiansky, Dynamic buckling of elastic structures: criteria and estimates, in Dynamic Stability of Structures, Proc. Int. Conf, North-western University, Evanston Illinois, USA. Pergamon Press, Oxford (1966).
9. J. F. Wilson, Mechanics of bellows: a critical survey. Int. J. Mech. Sci. 26 (11/12), 593-605 (1984).
10. R. A. Clark, On the theory of thin-elastic toroidal shells. J. Math. Phys. 29, 146-178 (1950).
11. R. A. Clark, Asymptotic solutions of toroidal shell problems. Quart. Appl. Math. 16(1), 47-60 (1958).
12. R. A. Clark and E. Reissner, Bending of curved tubes, in Advances in Applied Mechanics (edited by R. von Mises and T. von Karman). Academic Press, New York (1951).
13. R. A. Clark and E. Reissner, A problem of finite bending of toroidal shells. Quart. Appl. Math. 10(4), 321-334 (1953).
14. P. F. Jordan, Stresses and deformations of the thin-walled pressurised torus. J. Aero. Sci. 29, 213-225 (1962).
15. D. J. Payne, Numerical analysis of the axisymmetric bending of a toroidal shell. J. Mech. Engng Sci. 4(4), 356-364 (1962).
16. E. Y. Tsui and J. M. Massard, Bending behaviour of toroidal shells, J. Engng Mech. Div. Proc of ASCE EM2, 439-463 (1968).
17. L. N. Tao, On the toroidal shells. J. Math. Phys. 38, 130-134 (1960).
18. A. M. Wahl and G. Lobo, Stress and deflections in flat circular plates with central holes. Trans. ASME, J. Appl. Mech. APM-52-3, 29 (1930).
19. O. Jenssen, Asymptotic integration of the differential equations for a special case of symmetrically loaded toroidal shells. J. Math. Phys. 39, 1-17 (1969).
20. C. Turner, Study of the symmetrical elastic loading of some shells of revolutions with special reference to toroidal elements. J. Mech. Sci. 1(2), 113-129 (1959).
21. C. Turner, Stress and deflection studies of flat-plate and toroidal expansion bellows, subjected to axial, eccentric or internal pressure loading. J. Mech. Sci. 1(2), 130-143 (1959).
22. C. Turner and H. Ford, Stress and deflexion studies of pipeline expansion bellows. Proc. Instn Mech. Engrs 171, 526-552 (1957).
23. L. H. Sobel and W. Flugge, Stability of toroidal shells under uniform external pressure. AIAA Jl 5(3), 425-431 (1967).
24. N. W. Snedden, The strength and stability of corrugated bellows expansion joints. Ph.D. Thesis, Cambridge (1981).
25. J. A. Haringx, Instability of bellows subjected to internal pressure. Phillips Res. Rep. 7, 189-196 (1952).
26. M. Stein and J. McElman, Buckling of segments of toroidal shells. AIAA Jl 1704-1709, September (1965).
27. B. Almroth, L. H. Sobel and A. R. Hunter, An experimental investigation of the buckling of toroidal shells. AIAA (Tech. Notes) 7(11), 2185 (1969).
28. P. Seide, The effect of pressure on the bending characteristics of actuator stem. Trans. ASME, J. Appl. Mech. 27(3), 429-437 (1960).
29. D. E. Newland, Buckling of double bellows expansion joints under internal pressure. J. Mech. Engng Sci. 6(3) 270-277 (1964).
30. D. E. Newland, Buckling and rupture of double bellows expansion joint assembly at Flixborough. Proc. R. Soc. Lond. Ser A 351, 525-549 (1976).
31. B. Skocezen and J. Skrzypek, Application of the equivalent column concept to the stability of axially compressed bellows. Int. J. Mech. Sci. 34(11) 901-906 (1992).
32. J. H. Hutchinson, Initial post-buckling behaviour of toroidal shell segments. Int. J. Solids Struct. 3, 97-115 (1967).
33. P. V. Marcal and C. E. Turner, Limited life of shells of revolution subjected to severe local bending. J. Mech. Engng Sci. 7(4) 408-423 (1965).
34. M. Hamada and M, Tanaka, A numerical method for solving elastic-plastic problems of rotationally symmetric shells. Bull. JSME 14(74): 724-736 (1971).
35. A. G. Senior, Struct. Engng 42, 345-346 (1964).
36. M. C. White, D. Ivey and T. Hirsch, In-service experience on installations of Texas modular crash cushions. Research Report, 146-2. Texan Transportation Institute College Station, Texas, USA (1969).
37. M. C. White, G. Hayes and T. Hirsch, A feasibility study of using corrugated steel pipes in modular crash cushions. Technical Memorandum, 505-18. Texan Transportation Institute College Station, Texas, USA (1971).
38. J. F. Carney and R. J. Sazinski, Portable energy absorbing system for highway service vehicles. Trans. Engng J. TE4, 407-421 (1978).
39. K. R. F. Andrews, G. L. England and E. Ghani, Classification of the axial collapse of cylindrical tubes under quasi-static loading. Int. J. Mech. Sci. 25, 687-696 (1983).
40. T. Y. Reddy and E. Zhang, Effect of strain-hardening on the behaviour of axially crushed cylindrical tubes, in Advances in Engineering Plasticity and its Applications (edited by W. B. Lee), pp. 755-762. Elsevier, Amsterdam (1993).