By Hai-Sui Yu
Cavity enlargement conception is a straightforward thought that has stumbled on many purposes in geotechnical engineering. particularly, it's been used commonly to examine difficulties in relation to deep foundations, in-situ checking out, underground excavation and tunnelling, and wellbore instability. even though a lot study has been conducted during this box, the entire significant findings are mentioned within the type of reviews and articles released in technical journals and convention court cases. To facilitate functions and extra improvement of hollow space growth concept, there's a want for the geotechnical neighborhood to have a unmarried quantity presentation of hollow space enlargement thought and its purposes in reliable and rock mechanics. This ebook is the 1st try and summarize and current, in a single quantity, the most important advancements completed up to now within the box of hollow space growth concept and its purposes in geomechanics.
Audience: even though it is meant basically as a reference e-book for civil, mining, and petroleum engineers who're drawn to hollow space growth equipment, the strategies provided within the e-book may also be of curiosity to scholars and researchers within the fields of utilized mechanics and mechanical engineering.
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Additional resources for Cavity Expansion Methods in Geomechanics
36) are divided into two parts. 39) By putting the above stress function into the following goveming equation for plane problems: (~ + 1l.. 39) leads to the correct stress function: ep = (Ar 2 + Br4 + C 12 + D) cos 2e r where A, B, C and D are integration constants. 44) 2 r4 r2 6C + 12Br2 + -)cos2e 4 ar a 1 aep T re = --(--) = (24 ar r ae r 6C 2D . 3 shows the case in which, in addition to the horizontal pressure P hO' there is a second stress Pvo acting in the vertical direction at infinity. This case is of particular interest for tunnel problems.
19) (b) Displacement analysis When ca1culating the displacement of any individual particle it is convenient to take the movement of the plastic boundary as the sc ale of 'time' or progress of the expansion, since the parameter c appears in the formulae for the stresses. We consider the velocity V of a particle, meaning that the particle is displaced by an amount Vde when the plastic boundary moves outwards a further distance de. 20) where rand e are taken as two independent variables. 22) To evaluate the increments of stress and strain we must follow a given element.
101) Vß;; Using the boundary conditions: orlr=a = P orlr=b = Po the integration constants A and B can be derived. 104) For an isotropie material n = 1, the above solutions reduce to the previous cylinder expansion solutions for isotropie materials. 4 ELASTIC SOLUTIONS IN A SEMI-INFINITE HALF-SPACE Although this book is predominantly concemed with cavities in an infinite medium, elastic solutions also exist for the expansion or contraction of cavities in a semi-infinite half-space. The problem of a cavity in a half-space is particularly relevant to the predietion of ground settlements caused by underground tunnelling.