Browse > Article
http://dx.doi.org/10.12989/sem.2015.53.1.017

Brazier effect of single- and double-walled elastic tubes under pure bending  

Sato, Motohiro (Faculty of Engineering, Hokkaido University)
Ishiwata, Yuta (Graduate School of Engineering, Hokkaido University)
Publication Information
Structural Engineering and Mechanics / v.53, no.1, 2015 , pp. 17-26 More about this Journal
Abstract
The cross sections of hollow cylindrical tubes ovalise under a pure bending condition, and this reduces their flexural stiffness as their curvatures increase. It is important to accurately evaluate this phenomenon, known as the 'Brazier effect', to understand the bending behaviour of the systems considered. However, if the tubes are supported by an elastic medium or foundation, the ovalisation displacements of their cross sections may decrease. From this point of view, the purpose of this research is to analytically investigate the bending characteristics of single- and double-walled elastic tubes contacted by an elastic material by considering the Brazier effect. The Brazier moment, which is the maximum moment-carrying capacity of the ovalised cross section, can be calculated by introducing the strain energy per unit length of the tube in terms of the degree of ovalisation for the tube and the curvature. The total strain energy of the double-walled system is the sum of the strain energies of the outer and inner tubes and that of the compliant core. Results are comparatively presented to show the variation in the degree of ovalisation and the Brazier moment for single- and double-walled tubes.
Keywords
elastic tube; pure bending; Brazier effect;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Arjomandi, K. and Taheri, F. (2011), "A new look at the external pressure capacity of sandwich pipes", Marin. Struct., 24(1), 23-42.   DOI
2 Arjomandi, K. and Taheri, F. (2011), "The influence of intra-layer adhesion configuration on the pressure capacity and optimized configuration of sandwich pipes", Ocean Eng., 38(17-18), 1869-1882.   DOI
3 Arjomandi, K. and Taheri, F. (2011), "Stability and post-buckling response of sandwich pipes under hydrostatic external pressure", Int. J. Pressure Vessels Pip., 88(4), 138-148.   DOI
4 Arjomandi, K. and Taheri, F. (2012), "Bending capacity of sandwich pipes", Ocean Eng., 48, 17-31.   DOI
5 Brazier, L.G. (1927), "On the flexure of thin cylindrical shells and other thin sections", Proceedings of the Royal Society of London A116, 104-114.
6 Calladine, C.R. (1983), Theory of Shell Structures, Cambridge University Press, Cambridge.
7 Croll, J.G.A. (2001), "Buckling of cylindrical tunnel liners", J. Eng. Mech., ASCE, 127(4), 333-341.   DOI
8 Dawson, M.A. and Gibson, L.J. (2007), "Optimization of cylindrical shells with compliant cores", Int. J. Solids.Struct., 44(3-4), 1145-1160.   DOI
9 Karam, G.N. and Gibson, L.J. (1995), "Elastic buckling of cylindrical shells with elastic cores - I. analysis". Int. J. Solid. Struct., 32(8-9), 1259-1283.   DOI
10 Olso, E. and Kyriakides, S. (2003), "Internal ring buckle arrestors for pipe-in-pipe systems", Int. J. Nonlin. Mech., 38(2), 267-284.   DOI
11 Hutchinson, J.W. and He, M.Y. (2000), "Buckling of cylindrical sandwich shells with metal form cores", Int. J. Solid. Struct., 37(46-47), 6777-6794.   DOI
12 He, X.Q., Kitipornchai, S. and Liew, K.M. (2005), "Buckling analysis of multi-walled carbon nanotubes: a continuum model accounting for van der Waals interaction", J. Mech. Phys. Solids., 53, 303-326.   DOI
13 Kyriakides, S. and Netto, T.A. (2004), "On the dynamic propagation and arrest of buckles in pipe-in-pipe systems", Int. J. Solid. Struct., 41(20), 5463-5482.   DOI
14 Sato, M. and Patel, M.H. (2007), "Exact and simplified estimations for elastic buckling pressures of structural pipe-in-pipe cross-sections under external hydrostatic pressure", J. Mar. Sci. Technol., 12(4), 251-262.   DOI
15 Sato, M., Patel, M.H. and Trarieux, F. (2008), "Static displacement and elastic buckling characteristics of structural pipe-in-pipe cross-sections", Struct. Eng. Mech., 30(3), 263-278.   DOI   ScienceOn
16 Sato, M. and Shima, H. (2009), "Buckling characteristics of multiwalled carbon nanotubesunder external pressure", Interact. Multis. Mech., 2(2), 209-222.   DOI
17 Yao, J.C. (1962), "Buckling of axially compressed long cylindrical shells with elastic core", J. Appl. Mech., 29, 329-334.   DOI
18 Yabuta, T. (1980), "Effects of elastic supports on the buckling of circular cylindrical shells under bending", J. Appl. Mech., 47, 866-870.   DOI