Boundary Element Method in Geomechanics

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Author :
Release : 1983-08-01
Genre : Mathematics
Kind :
Book Rating : 539/5 ( reviews)

Boundary Element Method in Geomechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Boundary Element Method in Geomechanics write by W.S. Venturini. This book was released on 1983-08-01. Boundary Element Method in Geomechanics available in PDF, EPUB and Kindle. 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

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Author :
Release : 2012-12-06
Genre : Technology & Engineering
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Book Rating : 999/5 ( reviews)

Boundary Element Method in Geomechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Boundary Element Method in Geomechanics write by W.S. Venturini. This book was released on 2012-12-06. Boundary Element Method in Geomechanics available in PDF, EPUB and Kindle. 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

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Author :
Release : 1993
Genre : Mathematics
Kind :
Book Rating : /5 ( reviews)

Boundary Element Techniques in Geomechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Boundary Element Techniques in Geomechanics write by George D. Manolis. This book was released on 1993. Boundary Element Techniques in Geomechanics available in PDF, EPUB and Kindle.

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

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Release : 2020-11-17
Genre : Science
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Book Rating : 399/5 ( reviews)

2D/3D Boundary Element Programming in Petroleum Engineering and Geomechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook 2D/3D Boundary Element Programming in Petroleum Engineering and Geomechanics write by Nobuo Morita. This book was released on 2020-11-17. 2D/3D Boundary Element Programming in Petroleum Engineering and Geomechanics available in PDF, EPUB and Kindle. 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

The Isogeometric Boundary Element Method

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Release : 2019-09-21
Genre : Science
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Book Rating : 391/5 ( reviews)

The Isogeometric Boundary Element Method - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Isogeometric Boundary Element Method write by Gernot Beer. This book was released on 2019-09-21. The Isogeometric Boundary Element Method available in PDF, EPUB and Kindle. This book discusses the introduction of isogeometric technology to the boundary element method (BEM) in order to establish an improved link between simulation and computer aided design (CAD) that does not require mesh generation. In the isogeometric BEM, non-uniform rational B-splines replace the Lagrange polynomials used in conventional BEM. This may seem a trivial exercise, but if implemented rigorously, it has profound implications for the programming, resulting in software that is extremely user friendly and efficient. The BEM is ideally suited for linking with CAD, as both rely on the definition of objects by boundary representation. The book shows how the isogeometric philosophy can be implemented and how its benefits can be maximised with a minimum of user effort. Using several examples, ranging from potential problems to elasticity, it demonstrates that the isogeometric approach results in a drastic reduction in the number of unknowns and an increase in the quality of the results. In some cases even exact solutions without refinement are possible. The book also presents a number of practical applications, demonstrating that the development is not only of academic interest. It then elegantly addresses heterogeneous and non-linear problems using isogeometric concepts, and tests them on several examples, including a severely non-linear problem in viscous flow. The book makes a significant contribution towards a seamless integration of CAD and simulation, which eliminates the need for tedious mesh generation and provides high-quality results with minimum user intervention and computing.