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Boundary Element Method in Geomechanics

Boundary Element Method in Geomechanics PDF Author: W.S. Venturini
Publisher: Springer Science & Business Media
ISBN: 3642820999
Category : Technology & Engineering
Languages : en
Pages : 255

Book Description
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.

Boundary Element Method in Geomechanics

Boundary Element Method in Geomechanics PDF Author: W.S. Venturini
Publisher: Springer Science & Business Media
ISBN: 3642820999
Category : Technology & Engineering
Languages : en
Pages : 255

Book Description
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.

Boundary Element Techniques in Geomechanics

Boundary Element Techniques in Geomechanics PDF Author: George D. Manolis
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 558

Book Description
This text provides an understanding of the role of Boundary Element Methods (BEM) in the numerical analysis of problems in geomechanics. Topics covered include: computer implementation; wave propagation due to seismicity or to man-related causes; and soil-fluid-structure interaction.

Applications in Geomechanics

Applications in Geomechanics PDF Author: Carlos A. Brebbia
Publisher: Springer Science & Business Media
ISBN: 3642830129
Category : Technology & Engineering
Languages : en
Pages : 184

Book Description
The first volume of this series dealt with the Basic Principles of Boundary Elements, while the second concentrated on time dependent problems and Volume three on the Computational Aspects of the method. This volume studies the applications of the method to a wide variety of geomechanics problems, most of which are ideally suited for boundary elements demonstrating the potentiality of the technique. Chapter 1 deals with the application of BEM to three dimensional elastody namics soil-structure interaction problems. It presents detailed formulations for rigid, massless foundations of arbitrary shape both in the frequency and time domains. The foundations are assumed to be resting on a linearly elastic, homogeneous, isotropic half-space and be subjected to externally applied loads on obliquely incident body. The chapter reviews the major advances in soil foundation interaction presents a series of numerical results and stresses the practical application of BEM, pointing out the high accuracy and efficiency of the technique, even when using coarse mesh discretizations.

Boundary Element Techniques in Geomechanics

Boundary Element Techniques in Geomechanics PDF Author: George D. Manolis
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 556

Book Description


Applications in Geomechanics

Applications in Geomechanics PDF Author: Carlos A. Brebbia
Publisher: Springer
ISBN: 9783540174974
Category : Mathematics
Languages : en
Pages : 200

Book Description
The first volume of this series dealt with the Basic Principles of Boundary Elements, while the second concentrated on time dependent problems and Volume three on the Computational Aspects of the method. This volume studies the applications of the method to a wide variety of geomechanics problems, most of which are ideally suited for boundary elements demonstrating the potentiality of the technique. Chapter 1 deals with the application of BEM to three dimensional elastody namics soil-structure interaction problems. It presents detailed formulations for rigid, massless foundations of arbitrary shape both in the frequency and time domains. The foundations are assumed to be resting on a linearly elastic, homogeneous, isotropic half-space and be subjected to externally applied loads on obliquely incident body. The chapter reviews the major advances in soil foundation interaction presents a series of numerical results and stresses the practical application of BEM, pointing out the high accuracy and efficiency of the technique, even when using coarse mesh discretizations.

Topics in Boundary Element Research

Topics in Boundary Element Research PDF Author: C. A. Brebbia
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 200

Book Description
The first volume of this series dealt with the Basic Principles of Boundary Elements, while the second concentrated on time dependent problems and Volume three on the Computational Aspects of the method. This volume studies the applications of the method to a wide variety of geomechanics problems, most of which are ideally suited for boundary elements demonstrating the potentiality of the technique. Chapter 1 deals with the application of BEM to three dimensional elastody namics soil-structure interaction problems. It presents detailed formulations for rigid, massless foundations of arbitrary shape both in the frequency and time domains. The foundations are assumed to be resting on a linearly elastic, homogeneous, isotropic half-space and be subjected to externally applied loads on obliquely incident body. The chapter reviews the major advances in soil foundation interaction presents a series of numerical results and stresses the practical application of BEM, pointing out the high accuracy and efficiency of the technique, even when using coarse mesh discretizations.

2D/3D Boundary Element Programming in Petroleum Engineering and Geomechanics

2D/3D Boundary Element Programming in Petroleum Engineering and Geomechanics PDF Author: Nobuo Morita
Publisher: Elsevier
ISBN: 0128238399
Category : Science
Languages : en
Pages : 480

Book Description
2D/3D Boundary Element Programming in Petroleum Engineering and Geomechanics, Volume 72, is designed to make it easy for researchers, engineers and students to begin writing boundary element programs. This reference covers the fundamentals, theoretical developments, programming and applications. Both fluid flow through porous media and structural problems are used for coding exercises. Included computer programs may be used as starting codes; after modifications, they can be applied to real world problems. The book covers topics around mesh generation, 3D boundary element coding, and interface coding for controlling mesh generation, and plotting results. Includes interactive 2D and 3D coding exercises that readers can modify based on need Features research on the most recent developments in indirect and dual boundary element methods Contains case studies showing examples and applications of the theories presented in the book

Boundary Element Techniques

Boundary Element Techniques PDF Author: C. A. Brebbia
Publisher: Springer Science & Business Media
ISBN: 3642488609
Category : Technology & Engineering
Languages : en
Pages : 479

Book Description
VI SOCRATES: I think that we ought to stress that we will write only about things that we have first hand experience in, in a coherent way that will be useful to engineers and other scientists and stressing the formulation without being too mathematical. We should write with integrity and honesty, giving reference to other authors where reference is due, but avoiding mentioning everybody just to be certain that our book is widely advertised. Above all, the book should be clear and useful. PLATO: I think we should include a good discussion of fundamental ideas, of how integral equations are formed, pointing out that they are like two dimensional shadows of three dimensional objects, ... SOCRATES: Stop there! Remember you are not 'the' Plato! PLATO: Sorry, I was carried away. ARISTOTLE: I think that the book should have many applications so that the reader can learn by looking at them how to use the method. SOCRATES: I agree. But we should be careful. It is easy to include many illustra tions and examples in a book in order to disguise its meagre contents. All examples should be relevant. ARISTOTLE: And we should also include a full computer program to give the reader if so he wishes, a working experience of the technique.

The Boundary Element Reference Book

The Boundary Element Reference Book PDF Author: Jaroslav Mackerle
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 406

Book Description
"This Handbook is intended to provide boundary element practitioners - users and scholars - with a reference book detailing the most important boundary element publications and the most up to date codes. The book is divided into four sections. The first describes the development of the method and gives over 300 milestone references. The second lists the BE books written up to now, giving a brief description of their contents. Section three deals with BE codes now available including general and some special purpose programs. Each entry occupies a page with a full description of the code. In addition, tables have been compiled to provide at a glance the capabilities of each code. The last section is a "Who's Who" of Boundary Elements with details of the best known practitioners in industry and academia." --Back cover.

Prediction, Analysis and Design in Geomechanical Applications

Prediction, Analysis and Design in Geomechanical Applications PDF Author: Giovanni B. Barla
Publisher:
ISBN: 9788855528122
Category : Computer-aided engineering
Languages : en
Pages : 754

Book Description