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Boundary Element Method in Geomechanics

Numerical techniques for solving many problems in continuum mechanics have experienced a tremendous growth in the last twenty years due to the development of large high speed computers. In particular, geomechanical stress analysis can now be modelled within a more realistic context. In spite of the...

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Bibliographic Details
Main Author: Venturini, W.S.
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1983, 1983
Edition:1st ed. 1983
Series:Lecture Notes in Engineering
Subjects:
Engineering Mathematics
Engineering Geology
Geoengineering
Engineering / Data Processing
Atmospheric Science
Mathematical And Computational Engineering Applications
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 10.3 Slope Stability Analysis
  • 10.4 Tunnelling Stress Analysis
  • 11 Conclusions
  • References
  • Appendices
  • 1 Introduction
  • 2 Material Behaviour and Numerical Techniques
  • 2.1 Introduction
  • 2.2 Linear Elastic Material Problems
  • 2.3 Nonlinear Elastic Material Problems
  • 2.4 Inelastic Material Problems
  • 2.5 Time-Dependent Problems
  • 3 Boundary Integral Equations
  • 3.1 Introduction
  • 3.2 Governing Equations and Fundamental Solutions
  • 3.3 Integral Equations
  • 3.4 Body Force Problem
  • 3.5 Prestress Force Problem
  • 3.6 Temperature Shrinkage and Swelling
  • 4 Boundary Integral Equations for Complete Plane Strain Problems
  • 4.1 Introduction
  • 4.2 Governing Equations and Fundamental Solutions
  • 4.3 Integral Equations for Interior Points
  • 4.4 Boundary Integral Equation
  • 5 Boundary Element Method
  • 5.1 Introduction
  • 5.2 Discretization of the Integral Equations
  • 5.3 Subregions
  • 5.4 Traction Discontinuities
  • 5.5 Thin Subregions
  • 5.6 Solution Technique
  • 5.7 Practical Application of Boundary Element on Linear Problems
  • 6 Notension Boundary Elements
  • 6.1 Introduction
  • 6.2 Rock Material Behaviour
  • 6.3 Method of Solution
  • 6.4 Application of No-Tension in Rock Mechanics
  • 7 Discontinuity Problems
  • 7.1 Introduction
  • 7.2 Plane of Weakness
  • 7.3 Analysis of Discontinuity Problems
  • 7.4 Numerical Applications
  • 8 Boundary Element Technique for Plasticity Problems
  • 8.1 Introduction
  • 8.2 Elastoplastic Problems in One Dimension
  • 8.3 Theory of Plasticity for Continuum Problems
  • 8.4 Numerical Approach for the Plastic Solution
  • 8.5 Practical Applications in Geomechanics
  • 9 Elasto/Viscoplastic Boundary Element Approach
  • 9.1 Introduction
  • 9.2 Time-Dependent Behaviour in One Dimension
  • 9.3 Elasto/Viscoplastic Constitutive Relations for Continuum Problems
  • 9.4 Outline of the Solution Technique
  • 9.5 Time Interval Selection and Convergence
  • 9.6 Elasto/Viscoplastic Applications.-10 Applications of the Nonlinear Boundary Element Formulation
  • 10.1 Introduction
  • 10.2 Strip Footing Problem

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