Finite Element Method: Concepts and Applications in Geomechanics

by Debasis Deb

For the last three decades, numerical methods have found a wide range of applications in geomechanics. Of all the numerical methods, the finite element method (FEM) has the maximum applications in geomechanics. This book offers an insight into applications of FEM in designing, analyzing and optimizing structures or excavations made in the rock mass. A fine blend of finite element methodology and principles of rock mechanics, the text emphasizes the basics of stress-strain analysis, isoparametric finite element method, rock mass yielding/failure behaviour and its formulation in FEM procedure, and joint behaviour (as equivalent material and discrete system). Table of Contents Preface. Analysis of Stresses and Strains. Stress-Strain Relationships. Finite Element Method in Elasticity: Isoparametric Triangular Elements. Quadrilateral Finite Elements. Axisymmetric and 3D Finite Element Method. Rock and Rock Mass Failure Criteria. Elastic-Plastic Finite Element Analysis. Strength and Deformability of Jointed Rock Mass. Finite Element Procedures of Rock Joints. APPENDIX A. Galerkin Finite Element Method. APPENDIX B. Skyline Storage of Stiffness Matrix. References. Answers to Exercises. Index

284 pages, Paperback

Published January 1, 2006