By C. R. Scott
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Additional resources for An introduction to soil mechanics and foundations
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.
An introduction to soil mechanics and foundations by C. R. Scott