Analytical modelling of dynamic plastic buckling of an axially loaded strain-rate sensitive bar

International Journal of Solids and Structures

Volumn 37, Issue 10, 1999, Pages 1471-1481

  Jie, M ^a   Yu, T X ^b  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

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

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039763622     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(98)00330-8     Document Type: Article

References (28)

1. Abrahamson G.R., Goodier J.N. Dynamic flexural buckling of rods within an axial plastic compressive wave. J. Appl. Mech. 33:1996;241-247.
2. Ari-Gur J., Weller T., Singer J. Experimental and theoretical studies of columns under axial impact. Int. J. Solids Struct. 18:1982;619-641.
3. Gary G. Dynamic buckling of an elastoplastic column. Int. J. Impact Engng. 1:1983;357-375.
4. Havashi, Sano O. Dynamic buckling of bars: in the case of elastic-plastic bars. Bull. JSME. 15:1972;1333-1338.
5. Jie M. Finite element calculation of elastoplastic dynamic buckling of an initially imperfect bar under axial impact (in Chinese). Explosion and Shock Waves. 11:1991;153-160.
6. Jie M. A simplified over-stress analytical model of the dynamic buckling of a perfectly plastic column under axial impact. Appl. Math. and Mech. 16:1995;607-610.
7. Jie M. On the Liapunov's stability of a clamped orthotropic round plate under radial axisymmetrical impact load. Appl. Math. and Mech. 17:1996;149-153.
8. Jie M. Plastic dynamic stability of a column under nonconservative forces. Appl. Math. and Mech. 18:1997;399-405.
9. Jie, M., Han, M.B., Wang, R., 1992. Effect of flexural waves on the dynamic buckling of a long column under axial impact. Proceedings of second International Symposium on Intense Dynamic Loading and Its Effects. Sichuan University Press, Chendu, pp. 511-515.
10. Jones N. Recent studies on the dynamic plastic behavior of structures. Appl. Mech. Rev. 42:1989;95-115.
11. Jones N., des Reis H.L.M. On the dynamic of a simple elastic-plastic model. Int. J. Solids Struct. 16:1980;969-989.
12. Karagiozova D., Jones N. Dynamic buckling of a simple elastic-plastic model under pulse loading. Int. J. Non-linear Mech. 27:1992;981-1005.
13. Karagiozova D., Jones N. Dynamic pulse buckling of a simple elastic-plastic model including axial inertia. Int. J. Solids Struct. 29:1992;1255-1272.
14. Karagiozova D., Jones N. Some observations on the dynamic elastic-plastic buckling of a structural model. Int. J. Impact Engng. 16:1995;621-635.
15. Karagiozova D., Jones N. A note on the inertia and strain-rate effects in the Tam and Calladine model. Int. J. Impact Engng. 16:1995;637-649.
16. Karagiozova D., Jones N. Dynamic elastic-plastic buckling phenomena in a rod due to axial impact. Int. J. Impact Engng. 18:1996;919-947.
17. Knops R.J., Wilkes E.W. On Movchan's theorems for stability of continuous system. Int. J. Engng. Sci. 4:1966;303-329.
18. Lee L.H.N. Quasi-bifurcation in dynamics of elastic-plastic continua. J. Appl. Mech. 44:1977;413-418.
19. Lee L.H.N. Quasi-bifurcation of rods within an axial plastic compressive wave. J. Appl. Mech. 45:1978;100-104.
20. Leipholz H. Stability of Elastic Systems. 1980;Leyden-Noordhoff, Amsterdam.
21. Lindberg H.E., Florence A.L. Dynamic Pulse Buckling. 1987;Martinus Nijhoff, The Netherlands.
22. Malvern L.E. Plastic wave propagation in a bar as material exhibiting a strain-rate effect. Q. Appl. Math. 8:1950;405-405.
23. Malvern, L.E., 1951.The propagation of longitufinal waves of plastic deformation in a bar of material exhibiting a strain-rate effect. J. Appl. Mech. June 203-208.
24. Shanley F.R. Inelastic column theory. J. Aero. Sci. 14:1947;261-268.
25. Stronge W.J., Yu T.X. Dynamic Models for Structural Plasticity. 1993;Springer-Verlag, London.
26. Su X.Y., Yu T.X., Reid S.R. Inertia-sensitive impact energy-absorbing structures - part 2: effect of strain rate. Int. J. Impact Engng. 16:1995;673-689.
27. Tam L.L., Calladine C.R. Inertia and strain-rate effects in a simple plate-structure under impact loading. Int. J. Impact Engng. 11:1991;349-377.
28. Wang R., Ru C.Q. An energy criterion for the dynamic plastic buckling of circular cylinders under impulsive loading. Reid S.R. Metal Forming and Impact Mechanics. 1985;213-223 Pergamon Press.