Asymptotic analysis of the non-linear behavior of long anisotropic tubes

International Journal of Non-Linear Mechanics

Volumn 34, Issue 6, 1999, Pages 1003-1018

  Harursampath, Dineshkumar ^a   Hodges, Dewey H ^a  

^a Georgia Institute of Technology   (United States)

Author keywords

Beam; Composite; Local buckling; Non linear bending; Tube

Indexed keywords

EID: 0011252213     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0020-7462(98)00070-5     Document Type: Article

References (30)

1. L.G. Brazier, On the flexure of 'thin' cylindrical shells and other thin sections, Proc. Roy. Soc. London Ser. A 116 (1927) 104-114.
2. E. Reissner, On finite bending of pressurized tubes, J. Appl. Mech. 26 (1959) 386.
3. E. Reissner, On finite pure bending of cylindrical tubes, Ingenieur-Archiv 15 (1961) 165.
4. E. Reissner, H.J. Weinitschke, Finite pure bending of circular cylindrical tubes, Quart. Appl. Math. 20 (1963) 305.
5. G.A. Thurston, Critical bending moment of circular cylindrical tubes, J. Appl. Mech. 44 (1977) 173.
6. O. Fabian, Collapse of cylindrical, elastic tubes under combined bending, pressure and axial loads, Int. J. Solids Struct. 13 (1977) 1257.
7. L.Y. Li, Approximate estimates of dynamic instability of long circular cylindrical shells under pure bending, Int. J. Pressure Vessels Piping 67 (1996) 37.
8. D. Mazor, O. Rand, The influence of the in-plane warping on the behavior of thin-walled beams, Proc. 54th Annual Forum of the American Helicopter Society, Washington, DC, 1998, pp. 986-1000.
9. T. Hayashi, On the elastic instability of orthogonal anisotropic shells, especially the buckling loads due to compression, bending, and torsion, J. Soc. Naval Architects (Japan) 81 (1949) 84.
10. K.T. Kedward, Nonlinear collapse of thin-walled composite cylinders under flexural loading, Proc. 2nd Int. Conf. Composite Materials, Toronto, Canada, 1978, pp. 353-365.
11. J. Spence, S.L. Toh, Collapse of thin orthotropic elliptical cylindrical shells under combined bending and pressure loads, J. Appl. Mech. 46 (1979) 363.
12. A. Libai, C.W. Bert, A mixed variational principle and its application to the nonlinear bending problem of orthotropic tubes - ii. Application to nonlinear bending of circular cylindrical tubes, Int. J. Solids Struct. 31 (1994) 1019.
13. E. Corona, A. Rodrigues, Bending of long cross-ply composite circular cylinders, Composites Engng. 5 (1995) 163.
14. A Stockwell, P.A. Cooper, Collapse of composite tubes under end moments, Proc. 33rd Structures, Structural Dynamics and Materials Conf., Dallas, TX, AIAA Paper 92-2389, 1992, pp. 1841-1850.
15. L.Y. Li, Bending instability of composite tubes, J. Aerospace Engng. 9 (1996) 58.
16. B.F. Tatting, Z. Gürdal, V.V. Vasiliev, Nonlinear response of long orthotropic tubes under bending including the Brazier effect, AIAA J. 34 (1996) 1934.
17. B.F. Tatting, Z. Gürdal, V.V. Vasiliev, The Brazier effect for finite length composite cylinders under bending, Int. J. Solids Struct. 34 (1997) 1419.
18. C.E.S. Cesnik, D.H. Hodges, VABS: a new concept for composite rotor blade cross-sectional modeling, J. Amer. Helicopter Soc. 42 (1997) 27.
19. V.V. Volovoi, D.H. Hodges, V.L. Berdichevsky, V. Sutyrin, Asymptotic theory for static behavior of elastic anisotropic I - beams, Int. J. Solids Struct., to appear.
20. D.H. Hodges, D. Harursampath, V.V. Volovoi, C.E.S. Cesnik, Non-classical effects in nonlinear analysis of anisotropic strips, Int. J. Non-Linear Mech., to appear.
21. V.L. Berdichevsky, Variational-asymptotic method of shell theory construction, PMM 43 (1979) 664.
22. D.H. Hodges, A mixed variational formulation based on exact intrinsic equations for dynamics of moving beams, Int. J. Solids Struct. 26 (1990) 1253.
23. W.K. Lentz, Optimum coupling in thin-walled, closed composite beams, Ph.D. Thesis, Georgia Institute of Technology, 1997.
24. A.M. Badir, Theory of anisotropic thin-walled closed-section beams with hygrothermal effects, Proc. 33rd Structures, Structural Dynamics and Materials Conf., Dallas, TX, AIAA Paper No. AIAA-92-2543, 1992, pp. 1078-1092.
25. P. Seide, V. Weingarten, On the buckling of circular cylindrical shells under pure bending, J. Appl. Mech. 28 (1961) 112.
26. V.V. Vasiliev, Mechanics of Composite Structures, Taylor and Francis, Washington, DC, 1993.
27. R. Kitching, A.L. Tan, T.M.N. Abu-Mansour, The influence of through thickness properties on glass reinforced plastic laminated structures, Composite Struct. 2 (1984) 105.
28. S.W. Tsai, E.M. Wu, A general theory of strength for anisotropic materials, J. Composite Mater. 5 (1971) 58.
29. S.W. Tsai, H.T. Hahn, Introduction to Composite Materials, Technomic Publishing Company, Lancaster, PA, 1980.
30. C. S. Ades, Bending strength of tubing in the plastic range, J. Aeronaut. Sci. 24 (1957) 605.