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Boundary Element Method In Geomechanics
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Book Synopsis Boundary Element Method in Geomechanics by : W.S. Venturini
Download or read book Boundary Element Method in Geomechanics written by W.S. Venturini and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Boundary Element Techniques in Geomechanics by : George D. Manolis
Download or read book Boundary Element Techniques in Geomechanics written by George D. Manolis and published by . This book was released on 1993 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Applications in Geomechanics by : Carlos A. Brebbia
Download or read book Applications in Geomechanics written by Carlos A. Brebbia and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Topics in Boundary Element Research by : C. A. Brebbia
Download or read book Topics in Boundary Element Research written by C. A. Brebbia and published by . This book was released on 1987 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Boundary Element Techniques in Computer-Aided Engineering by : C.A. Brebbia
Download or read book Boundary Element Techniques in Computer-Aided Engineering written by C.A. Brebbia and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the edited proceedings of the Advanced Studies Institute on Boundary Element Techniques in Computer Aided Engineering held at The Institute of Computational Mechanics, Ashurst Lodge, Southampton, England, from September 19 to 30, 1984. The Institute was held under the auspices of the newly launched "Double Jump Programme" which aims to bring together academics and industrial scientists. Consequently the programme was more industr ially based than other NATO ASI meetings, achieving an excellent combination of theoretical and practical aspects of the newly developed Boundary Element Method. In recent years engineers have become increasingly interested in the application of boundary element techniques for'the solution of continuum mechanics problems. The importance of boundary elements is that it combines the advantages of boundary integral equations (i.e. reduction of dimensionality of the problems, possibility of modelling domains extending to infinity, numerical accura'cy) with the versatility of finite elements (i.e. modelling of arbitrary curved surfaces). Because of this the technique has been well received by the engineering and scientific communities. Another important advantage of boundary elements stems from its reduction of dimensionality, that is that the technique requires much less data input than classical finite elements. This makes the method very well suited for Computer Aided Design and in great part explains the interest of the engineering profession in the new technique.
Book Synopsis The Boundary Element Reference Book by : Jaroslav Mackerle
Download or read book The Boundary Element Reference Book written by Jaroslav Mackerle and published by . This book was released on 1988 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Book Synopsis Boundary Element Methods in Engineering Science by : P. K. Banerjee
Download or read book Boundary Element Methods in Engineering Science written by P. K. Banerjee and published by McGraw-Hill (UK). This book was released on 1981 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis 2D/3D Boundary Element Programming in Petroleum Engineering and Geomechanics by : Nobuo Morita
Download or read book 2D/3D Boundary Element Programming in Petroleum Engineering and Geomechanics written by Nobuo Morita and published by Elsevier. This book was released on 2020-11-17 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Applications in Geomechanics by : Carlos A. Brebbia
Download or read book Applications in Geomechanics written by Carlos A. Brebbia and published by Springer. This book was released on 1987-09-08 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Boundary Element Methods for Soil-Structure Interaction by : W.S. Hall
Download or read book Boundary Element Methods for Soil-Structure Interaction written by W.S. Hall and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: W S HALL School of Computing and Mathematics, University of Teesside, Middlesbrough, TS1 3BA UK G OLIVETO Division of Structural Engineering, Department of Civil and Environmental Engineering, University of Catania, Viale A. Doria 6, 95125 Catania, Italy Soil-Structure Interaction is a challenging multidisciplinary subject which covers several areas of Civil Engineering. Virtually every construction is connected to the ground and the interaction between the artefact and the foundation medium may affect considerably both the superstructure and the foundation soil. The Soil-Structure Interaction problem has become an important feature of Structural Engineering with the advent of massive constructions on soft soils such as nuclear power plants, concrete and earth dams. Buildings, bridges, tunnels and underground structures may also require particular attention to be given to the problems of Soil-Structure Interaction. Dynamic Soil-Structure Interaction is prominent in Earthquake Engineering problems. The complexity of the problem, due also to its multidisciplinary nature and to the fact of having to consider bounded and unbounded media of different mechanical characteristics, requires a numerical treatment for any application of engineering significance. The Boundary Element Method appears to be well suited to solve problems of Soil- Structure Interaction through its ability to discretize only the boundaries of complex and often unbounded geometries. Non-linear problems which often arise in Soil-Structure Interaction may also be treated advantageously by a judicious mix of Boundary and Finite Element discretizations.
Book Synopsis Numerical Methods in Geomechanics by : J.B. Martins
Download or read book Numerical Methods in Geomechanics written by J.B. Martins and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Study Institute, Braga, Portugal, August 24-September 4, 1981
Book Synopsis Boundary Element Techniques by : C. A. Brebbia
Download or read book Boundary Element Techniques written by C. A. Brebbia and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Boundary Element Methods by : Carlos A. Brebbia
Download or read book Boundary Element Methods written by Carlos A. Brebbia and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Applications of Boundary Element Method in Non Linear Collapse Analyses of Some Footing Problems in Geomechanics and Geotechnical Engineering by : Jaideep Chatterjee
Download or read book Applications of Boundary Element Method in Non Linear Collapse Analyses of Some Footing Problems in Geomechanics and Geotechnical Engineering written by Jaideep Chatterjee and published by . This book was released on 2002 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Basic Principles and Applications by : C.A. Brebbia
Download or read book Basic Principles and Applications written by C.A. Brebbia and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the Boundary Element Method develops into a tool of engineering analysis more effort is dedicated to studying new applications and solving different problems. This book contains chapters on the basic principles of the technique, time dependent problems, fluid mechanics, hydraulics, geomechanics and plate bending. The number of non-linear and time dependent problems which have become amenable to solution using boundary elements have induced many researchers to investigate in depth the basis of the method. Chapter 0 of this book presents an ap proach based on weighted residual and error approximations, which permits easy construction of the governing boundary integral equations. Chapter I reviews the theoretical aspects of integral equation formulations with emphasis in their mathematical aspects. The analysis of time dependent problems is presented in Chap. 2 which describes the time and space dependent integral formulation of heat conduction problems and then proposes a numerical procedure and time marching algorithm. Chapter 3 reviews the application of boundary elements for fracture mechanics analysis in the presence of thermal stresses. The chapter presents numerical results and the considerations on numerical accuracy are of interest to analysts as well as practising engineers.
Book Synopsis Finite Element Methods : Concepts and Applications in Geomechanics by : Debasis Deb
Download or read book Finite Element Methods : Concepts and Applications in Geomechanics written by Debasis Deb and published by PHI Learning Pvt. Ltd.. This book was released on 2010 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Notes on Numerical Modeling in Geomechanics by : William G. Pariseau
Download or read book Notes on Numerical Modeling in Geomechanics written by William G. Pariseau and published by CRC Press. This book was released on 2022-03-31 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to numerical analysis in geomechanics and is intended for advanced undergraduate and beginning graduate study of the mechanics of porous, jointed rocks and soils. Although familiarity with the concepts of stress, strain and so on is assumed, a review of the fundamentals of solid mechanics including concepts of physical laws, kinematics and material laws is presented in an appendix. Emphasis is on the popular finite element method but brief explanations of the boundary element method, the distinct element method (also known as the discrete element method) and discontinuous deformation analysis are included. Familiarity with a computer programming language such as Fortran, C++ or Python is not required, although programming excerpts in Fortran are presented at the end of some chapters. This work begins with an intuitive approach to interpolation over a triangular element and thus avoids making the simple complex by not doing energy minimization via a calculus of variations approach so often found in reference books on the finite element method. The presentation then proceeds to a principal of virtual work via the well-known divergence theorem to obtain element equilibrium and then global equilibrium, both expressed as stiffness equations relating force to displacement. Solution methods for the finite element approach including elimination and iteration methods are discussed. Hydro-mechanical coupling is described and extension of the finite element method to accommodate fluid flow in porous geological media is made. Example problems illustrate important concepts throughout the text. Additional problems for a 15-week course of study are presented in an appendix; solutions are given in another appendix.
