Finite Element Methods 2nd Edition(English, Paperback, Deb Debasis)
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Computational geomechanics is an emerging field in the disciplines of Mining, Civil and Geo technical Engineering. Recent advancements in finite element methods (FEMs) have made it possible to solve a variety of complex problems related to geomechanics. This thoroughly revised second edition enhances the knowledge of the finite element methods in design and analysis of structures and excavations made in rock mass. A fine blend of finite element methodology and principles of rock mechanics, the text emphasizes the basics of stress–strain analysis, anisotropic material behaviour, isoparametric finite element method, rock mass yielding/failure behaviour and its formulation in FEM procedure, rock joint behaviour as equivalent material and discrete system. Analytical and numerical formulations of interaction between rock bolts and rock mass are introduced emphasizing parameters which affect bolt performance. Besides senior undergraduate and postgraduate students of Mining, Civil and Geotechnical Engineering, the book would also be useful to practising engineers and researchers who wish to acquaint themselves with the state-of-the-art techniques of finite element methods. New To This Edition Provides an in-depth analysis of strength and deform-ability of jointed rock mass. Discusses the application of airy stress function for solving problems in solid mechanics. Adds a new chapter on Analysis of Rock Bolts. Contains two new appendices—Gauss Quadrature Rule and Closed Form Integration in Natural Coordinates. Includes several new worked-out examples and exercises. Interaction between rock bolt and rock mass is analyzed Elaborates formulations. About The Author Debasis Deb, Ph.D. (University of Alabama), is Professor in the Department of Mining Engineering at the Indian Institute of Technology Kharagpur. Earlier, he worked as Research Associate in the University of Alabama and Korea Institute of Geoscience and Mineral Resources (KIGAM), South Korea, and as Visiting Assistant Professor in the Southern Illinois University Carbondale, USA. He has taken several research projects related to development and applications of FEM and XFEM procedures in geomechanics. Dr. Debasis has to his credit over ninety research papers and two patents—ROCKVISION and MAXPIT. Table of Contents Preface 1. Analysis of Stresses and Strains 2. Stress–Strain Relationship 3. Introduction of Finite Element Method in Elasticity: Isoparametric Triangular Elements 4. Quadrilateral Finite Elements 5. Axisymmetric and Three-dimensional Finite Element Method 6. Rock and Rock Mass Failure Criteria 7. Elastic–Plastic Finite Element Analysis 8. Strength and Deformability of Jointed Rock Mass 9. Finite Element Procedures for Analysis of Rock Joints 10. Analysis of Rock Bolts Appendices A: Galerkin Finite Element Method B: Skyline Storage of Stiffness Matrix C: Gauss Quadrature Rule D: Closed Form Integration in Natural Coordinates References Index