Boundary Element Method in Geomechanics

1. Front Matter

   Pages I-VIII

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2. Introduction

   • W. S. Venturini

   Pages 1-10

3. Material Behaviour and Numerical Techniques

   • W. S. Venturini

   Pages 11-26

4. Boundary Integral Equations

   • W. S. Venturini

   Pages 27-48

5. Boundary Integral Equations for Complete Plane Strain Problems

   • W. S. Venturini

   Pages 49-59

6. Boundary Element Method

   • W. S. Venturini

   Pages 60-94

7. No-Tension Boundary Elements

   • W. S. Venturini

   Pages 95-117

8. Discontinuity Problems

   • W. S. Venturini

   Pages 118-134

9. Boundary Element Technique for Plasticity Problems

   • W. S. Venturini

   Pages 135-164

10. Elasto/Viscoplastic Boundary Element Approach

    • W. S. Venturini

    Pages 165-188

11. Applications of the Nonlinear Boundary Elements Formulation

    • W. S. Venturini

    Pages 189-217

12. Conclusions

    • W. S. Venturini

    Pages 218-226

13. Back Matter

    Pages 227-246

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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 fact that many applications in geomechanics are still being carried out applying linear theories, soil and rock materials have been demonstrated experimentally to be physically nonlinear. Soils do not recover their initial state after removal of temporary loads and rock does not deform in proportion to the loads applied. The search for a unified theory to model the real response of these materials is impossible due to the complexities involved in each case. Realistic solutions in geomechanical analysis must be provided by considering that material properties vary from point to point, in addition to other significant features such as non-homogeneous media, in situ stress condition, type of loading, time effects and discontinuities. A possible alternative to tackle such a problem is to inttoduce some simplified assumptions which at least can provide an approximate solution in each case. The validity or accuracy of the final solution obtained is always dependent upon the approach adopted. As a consequence, the choice of a reliable theory for each particular problem is another difficult decision which should be 2 taken by the analyst in geomechanical stress analysis.

• Bodenmechanik
• Boundary
• Integralverfahren
• calculus
• mechanics
• plasticity
• temperature

• Departamento de Estruturas Escola de Engenharia de São Carlos, Universidade de São Paulo, São Carlos, Brazil

  W. S. Venturini

• Southampton University, England

  W. S. Venturini

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