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.

An analytical solution for jointed tunnel linings in elastic soil or rock

2008 ◽  
Vol 45 (11) ◽  
pp. 1572-1593 ◽  
Author(s):  
Hany El Naggar ◽  
Sean D. Hinchberger
Keyword(s):  
Finite Element ◽  
Analytical Solution ◽  
Closed Form ◽  
Closed Form Solution ◽  
Form Solution ◽  
Segmental Lining ◽  
Sophisticated Method ◽  
Walled Cylinder ◽  
Elastic Soil

This paper presents a closed-form solution for tunnel linings that can be idealized as an inner jointed segmental lining and an outer thick-walled cylinder embedded in a homogeneous infinite elastic soil or rock. Solutions for moment and thrust have been derived for cases involving slip and no slip at the lining–ground and lining–lining interfaces. In addition, the closed-form solution is verified by comparing it with finite element results where it is shown to agree well with this more sophisticated method of analysis.

Quasi-Static Stresses Due to Moving Temperature Discontinuity on a Plane Boundary

1966 ◽  
Vol 33 (4) ◽  
pp. 814-816 ◽  
Author(s):  
A. Jahanshahi
Keyword(s):  
Closed Form ◽  
Elastic Medium ◽  
Closed Form Solution ◽  
Form Solution ◽  
Plane Boundary ◽  
Heated Region ◽  
Plane State ◽  
Uniform Velocity ◽  
Temperature Discontinuity ◽  
Thermoelastic Theory

Closed-form solution is constructed to plane state of strain generated in a semi-infinite elastic medium when a portion of its boundary is heated. The heated region is assumed to be moving with uniform velocity. It is shown that stresses are bounded everywhere and are identically zero when the velocity of the moving temperature discontinuity vanishes. The study is based on uncoupled quasi-static thermoelastic theory.

Transient Response of an Infinite Elastic Medium Containing a Spherical Cavity Subjected to Torsion

1999 ◽  
Vol 67 (2) ◽  
pp. 282-287 ◽  
Author(s):  
U. Zakout ◽  
Z. Akkas ◽  
G. E. Tupholme
Keyword(s):  
Elastic Medium ◽  
Transient Response ◽  
Spherical Cavity ◽  
Laplace Transformation ◽  
Closed Form Solution ◽  
Form Solution ◽  
Shear Stresses ◽  
Surface Loading ◽  
Transformation Techniques ◽  
Isotropic Elastic Medium

An exact closed-form solution is obtained for the transient response of an infinite isotropic elastic medium containing a spherical cavity subjected to torsional surface loading using the residual variable method. The main advantage of the present approach is that it eliminates the computational problems arising in the existing methods which are primarily based on Fourier or Laplace transformation techniques. Extensive numerical results for the circumferential displacements and shear stresses at various locations are presented graphically for Heaviside loadings. [S0021-8936(00)01102-8]

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
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