A closed-form solution for elastic buckling of thin-walled unstiffened circular cylinders in pure flexure

2014 ◽  
Vol 80 ◽  
pp. 120-129 ◽  
Author(s):  
Mohamed Elchalakani
Keyword(s):  
Closed Form ◽  
Closed Form Solution ◽  
Form Solution ◽  
Circular Cylinders ◽  
Elastic Buckling ◽  
Thin Walled

Closed-form solution to thin-walled box girders considering effects of shear deformation and shear lag

2012 ◽  
Vol 19 (9) ◽  
pp. 2650-2655 ◽  
Author(s):  
Wang-bao Zhou ◽  
Li-zhong Jiang ◽  
Zhi-jie Liu ◽  
Xiao-jie Liu
Keyword(s):  
Closed Form ◽  
Shear Deformation ◽  
Closed Form Solution ◽  
Form Solution ◽  
Shear Lag ◽  
Box Girders ◽  
Thin Walled

A closed-form solution for composite tunnel linings in a homogeneous infinite isotropic elastic medium

2008 ◽  
Vol 45 (2) ◽  
pp. 266-287 ◽  
Author(s):  
Hany El Naggar ◽  
Sean D. Hinchberger ◽  
K. Y. Lo
Keyword(s):  
Closed Form ◽  
Elastic Medium ◽  
Closed Form Solution ◽  
Form Solution ◽  
Tunnel Lining ◽  
Linear Elastic ◽  
Isotropic Elastic Medium ◽  
Thin Walled ◽  
Walled Cylinder ◽  
Elastic Soil

This paper presents a closed-form solution for composite tunnel linings in a homogeneous infinite isotropic elastic medium. The tunnel lining is treated as an inner thin-walled shell and an outer thick-walled cylinder embedded in linear elastic soil or rock. Solutions for moment and thrust have been derived for cases involving slip and no slip at the lining–ground interface and lining–lining interface. A case involving a composite tunnel lining is studied to illustrate the usefulness of the solution.

On a Closed-Form Solution of Prandtl's System of Equations

2013 ◽  
Vol 40 (2) ◽  
pp. 106-114
Author(s):  
J. Venetis ◽  
Aimilios (Preferred name Emilios) Sideridis
Keyword(s):  
Closed Form ◽  
Closed Form Solution ◽  
Form Solution ◽  
System Of Equations
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