By Hai-Sui Yu
Cavity enlargement concept is an easy thought that has discovered many purposes in geotechnical engineering. specifically, it's been used commonly to examine difficulties when it comes to deep foundations, in-situ trying out, underground excavation and tunnelling, and wellbore instability. even though a lot learn has been conducted during this box, the entire significant findings are suggested within the kind of stories and articles released in technical journals and convention lawsuits. To facilitate purposes and additional improvement of hollow space growth conception, there's a desire for the geotechnical neighborhood to have a unmarried quantity presentation of hollow space growth concept and its purposes in sturdy and rock mechanics. This ebook is the 1st try and summarize and current, in a single quantity, the foremost advancements completed up to now within the box of hollow space growth idea and its purposes in geomechanics.
Audience: even though it is meant basically as a reference booklet for civil, mining, and petroleum engineers who're attracted to hollow space growth tools, the ideas 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
R. (1996). Surface settlements due to deformation of a tunnel in an elastic half plane. Geoteehnique, 46(4),753-756. S. A. (1991). Stress-induced ultrasonic wave velocity anisotropy in a sandstone. International Journal for Roek Meehanies and Mining Seienees, 28(1), 101-107. 1 INTRODUCTION This chapter describes some basic cavity expansion solutions in elastic-perfectly plastic soils. Both cylindrical and spherical cavities in either a finite or an infinite soil mass are considered. Note that a tension positive notation is used in this chaptet: When mode lIed by perfect plasticity, the soil behaviour is generally assumed to be under either drained or undrained conditions.
A) ....... 3) where E is Young's modulus and v is Poisson's ratio. 4) where Y = 2s u and Su is undrained shear strength. 4) is first satisfied at the internal boundary. 7) If the internal pressure is further increased, a plastic region will spread into the sphere; the radius of the plastic region at any instant is denoted by c. 9) where A is a constant that can be determined by the condition that the material just on the elastic side of the plastic boundary must be on the point of yielding.
58). , 1991). For this reason, analytieal solutions are presented here for the expansion of cavities in a cross-anisotropie elastic material. Application of these solutions to the study of wellbore stability will be discussed in detail in Chapter 1l. 1 Expansion of a hollow sphere The solution for the expansion of a hollow sphere in a cross-anisotropie elastic material has been presented by Lekhnitskii (1963). 1. The only difference is that now we are considering the case of a material possessing transverse isotropy in the direction of the radius.
Cavity Expansion Methods in Geomechanics by Hai-Sui Yu