Journal of Engineering and Applied Sciences
Year:
2009
Volume:
4
Issue:
1
Page No.
77 - 82
Applying the WKB Method to the Bifurcation of an Everted Spherical Shell Made of Elastic Varga Material
Authors :
M. Sanjarani Pour
and
M. Vakilian
References
Bush, A.W., 1992. Perturbation Methods for Engineers and Scientist. CRC Press, Florida.
Chen, Y.C. and D.M. Haughton, 1997. On the existence of exact solutions for the eversion of elastic cylinders. J. Elasticity, 49: 79-88.
CrossRef | Fu, Y. and M.S. Pour, 2002. WKB method with repeated roots and its application to the buckling analysis of an everted cylindrical tube. SIAM J. Applied Mathe., 62: 1856-1876.
Direct Link | Haughton, D.M. and A. Orr, 1995. On the eversion of incompressible elastic cylinders. Int. J. Non-Linear Mech., 30: 81-95.
Direct Link | Haughton, D.M. and Y.C. Chen, 1999. On the eversion of incompressible elastic spherical shells. ZAMP, 50: 312-326.
CrossRef | Ogden, R.W., 1997. Non-Linear Elastic Deformations. Dover Publications, New York.
Sanjarani, P.M.S., 2001. Application of the WKB method to some of the buckling problems in finite elasticity. Ph.D. Thesis, Keele University, School of Earth Sciences and Geography.