Application of the boundary element formulation to solve geomechanical problems
Application of the boundary element formulation to solve geomechanical problems
The objective of this work is the development and application of the boundary element algorithm for the solution of geomechanical problems. The derivation of the direct boundary clement method for solving two-dimensional elasticity with finite and infinite domains is reviewed and extended to incorporate problems concerned with both the complete plane strain case and the presence of thin sub regions. The formulation is also extended to include the proper wily to deal with self-weight, prestress forces, deformation type loads and also to model traction discontinuity at sharp corners. Two alternative formulations are presented to model rock material behaviour. For the first, the no-tension criterion, an iterative process consisting of applying an initial stress field at each step in order to eliminate all tensile stresses is proposed. The second criterion models possible slip or separation which may occur along preexisting cracks or weakness surfaces inside rocks. Special relations based on the Coulomb criterion of failure are introduced into the system of equations. Plastic and viscoplastic boundary element approaches are also presented. Plastic solutions are shown to be obtained with all incremental and iterative procedure for which plastic stress increments are applied to the system as an initial stress field. Using a similar procedure in which viscoplastic stress increments are applied to the system, viscoplastic and viscoplastic responses are also modelled. The final part of the work is dedicated to practical geotechnical problems. Solutions are obtained by assuming that rock and soil, material behaviours can be adequately represented by the criteria presented. Special attention is devoted to bearing capacity, slope stability and tunnelling solutions obtained with the viscoplastic boundary element approach.
University of Southampton
1982
Venturini, Wilson Sergio
(1982)
Application of the boundary element formulation to solve geomechanical problems.
University of Southampton, Doctoral Thesis.
Record type:
Thesis
(Doctoral)
Abstract
The objective of this work is the development and application of the boundary element algorithm for the solution of geomechanical problems. The derivation of the direct boundary clement method for solving two-dimensional elasticity with finite and infinite domains is reviewed and extended to incorporate problems concerned with both the complete plane strain case and the presence of thin sub regions. The formulation is also extended to include the proper wily to deal with self-weight, prestress forces, deformation type loads and also to model traction discontinuity at sharp corners. Two alternative formulations are presented to model rock material behaviour. For the first, the no-tension criterion, an iterative process consisting of applying an initial stress field at each step in order to eliminate all tensile stresses is proposed. The second criterion models possible slip or separation which may occur along preexisting cracks or weakness surfaces inside rocks. Special relations based on the Coulomb criterion of failure are introduced into the system of equations. Plastic and viscoplastic boundary element approaches are also presented. Plastic solutions are shown to be obtained with all incremental and iterative procedure for which plastic stress increments are applied to the system as an initial stress field. Using a similar procedure in which viscoplastic stress increments are applied to the system, viscoplastic and viscoplastic responses are also modelled. The final part of the work is dedicated to practical geotechnical problems. Solutions are obtained by assuming that rock and soil, material behaviours can be adequately represented by the criteria presented. Special attention is devoted to bearing capacity, slope stability and tunnelling solutions obtained with the viscoplastic boundary element approach.
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Published date: 1982
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Local EPrints ID: 460596
URI: http://eprints.soton.ac.uk/id/eprint/460596
PURE UUID: f022015b-5539-41d0-a6fa-679851a2837a
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Date deposited: 04 Jul 2022 18:25
Last modified: 04 Jul 2022 18:25
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Author:
Wilson Sergio Venturini
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