Analytic Methods in Geomechanics

Kam-tim Chau

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December 6, 2012 by CRC Press
Textbook - 457 Pages - 177 B/W Illustrations
ISBN 9781466555853 - CAT# K15396

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Features

  • Provides an indispensible guide to the fundamentals of geomechanics
  • Requires only minimal training in engineering mathematics, strength of materials, and engineering mechanics
  • Describes the use of complex variable technique for solving 2-D elasticity problems
  • Details solutions for 3-D elasticity, including Boussinesq, Kelvin, and Midlin
  • Introduces the use of Helmholtz free energy in macroscopic deformation
  • Includes discussions of continuum damage mechanics and microcrack models in fracture mechanics

Summary

A multidisciplinary field, encompassing both geophysics and civil engineering, geomechanics deals with the deformation and failure process in geomaterials such as soil and rock. Although powerful numerical tools have been developed, analytical solutions still play an important role in solving practical problems in this area. Analytic Methods in Geomechanics provides a much-needed text on mathematical theory in geomechanics, beneficial for readers of varied backgrounds entering this field.

Written for scientists and engineers who have had some exposure to engineering mathematics and strength of materials, the text covers major topics in tensor analysis, 2-D elasticity, and 3-D elasticity, plasticity, fracture mechanics, and viscoelasticity. It also discusses the use of displacement functions in poroelasticity, the basics of wave propagations, and dynamics that are relevant to the modeling of geomaterials. The book presents both the fundamentals and more advanced content for understanding the latest research results and applying them to practical problems in geomechanics.

The author gives concise explanations of each subject area, using a step-by-step process with many worked examples. He strikes a balance between breadth of material and depth of details, and includes recommended reading in each chapter for readers who would like additional technical information. This text is suitable for students at both undergraduate and graduate levels, as well as for professionals and researchers.

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