Interaction of a cylindrical thin-walled pile with an inhomogeneous isotropic elastic medium

2018 ◽  
Vol 42 (15) ◽  
pp. 1840-1865 ◽  
Author(s):  
M. Shahmohamadi ◽  
A. Khojasteh ◽  
M. Rahimian ◽  
R. Y. S. Pak
Keyword(s):  
Elastic Medium ◽  
Isotropic Elastic Medium ◽  
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.

APPROXIMATE BOUNDARY FORMABILITY WITH VOLUME ACTUATION

1998 ◽  
Vol 08 (07) ◽  
pp. 1243-1250 ◽  
Author(s):  
DAVID L. RUSSELL
Keyword(s):  
Elastic Medium ◽  
Common Sense ◽  
Shape Control ◽  
Two Dimensional ◽  
Triangular Region ◽  
Isotropic Elastic Medium ◽  
Normal Boundary ◽  
Selection Of

We study the approximate formability of the boundary of a two-dimensional isotropic elastic medium with the use of uniform volume actuation in the interior of that medium. We show that care is required in the selection of formability criteria to ensure that formability corresponds with common sense notions of "shape control". Finally, we analyze what we define as approximate normal boundary formability in the case of a rectangular and a triangular region, showing that such formability does not obtain in the first instance but, with some smoothness assumptions, does obtain in the second.

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