By Kam-tim Chau
A multidisciplinary box, encompassing either geophysics and civil engineering, geomechanics bargains with the deformation and failure procedure in geomaterials comparable to soil and rock. even supposing strong numerical instruments were constructed, analytical recommendations nonetheless play a tremendous position in fixing sensible difficulties during this quarter. Analytic equipment in Geomechanics presents a much-needed textual content on mathematical thought in geomechanics, precious for readers of assorted backgrounds getting into this box. Written for scientists and engineers who've had a few publicity to engineering arithmetic and energy of. Read more...
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Extra resources for Analytic Methods in Geomechanics
We first consider the homogeneous solution. 130) R V II f ¦[ A r n n 2 B nr n C n r n D n r 2 n]( E n cos nI F n sin nI ) n 2 where R is an arbitrary constant to normalize r. 130) was actually added by Timoshenko and Goodier (1982). 129). A comprehensive table for stress and 40 Analytic Methods in Geomechanics displacement components due to each term of this homogeneous solution was compiled by Karasudhi (1991). For some given conservative body force potential V, the particular solutions were also tabulated (Karasudhi, 1991).
124) with appropriate boundary conditions. 124) would be the homogenous solution for the biharmonic equation plus the particular solution, which depends on the form of the body force potential V. We first consider the homogeneous solution. 130) R V II f ¦[ A r n n 2 B nr n C n r n D n r 2 n]( E n cos nI F n sin nI ) n 2 where R is an arbitrary constant to normalize r. 130) was actually added by Timoshenko and Goodier (1982). 129). A comprehensive table for stress and 40 Analytic Methods in Geomechanics displacement components due to each term of this homogeneous solution was compiled by Karasudhi (1991).
88) by specializing the appropriate tensor equation. 47). 50) using Cartesian coordinates. 72). 102) wr r r wI wz Note that these are the three-dimensional equilibrium equations in cylindrical coordinates in terms of displacements. 1 INTRODUCTION Elasticity is perhaps the most successful theory ever developed to model the mechanical response of solids. Many important fields in solid mechanics, such as fracture mechanics and the theory of dislocation, are developed from the firm basis of the mathematical theory of elasticity.
Analytic Methods in Geomechanics by Kam-tim Chau