Finite Element Modelling Of Unbounded Media
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Finite Element Modelling Of Unbounded Media
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Author : John P. Wolf
language : en
Publisher:
Release Date : 1996-08-16
Finite Element Modelling Of Unbounded Media written by John P. Wolf and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-08-16 with Mathematics categories.
Dynamic unbounded medium-structure interactions occur in many fields of engineering and physical science, such as wave propagation in soil-structure and fluid-structure interactions, acoustics and electromagnetism and as diffusion in heat conduction and consolidation. This book presents three novel concepts, based on the finite-element methodology, to model the unbounded medium: The consistent infinitesimal finite-element cell method, a boundary finite-element procedure, requires the discretization of the structure-medium interface only and is exact in the finite-element sense. It is applied to unbounded media governed by the hyperbolic, parabolic and elliptic differential equations. The damping-solvent extraction method permits the analysis of a bounded medium only. The doubly-asymptotic multi-directional transmitting boundary is exact for the low- and high-frequency limits at preselected wave propagation directions. All concepts are explained using simple examples that the reader can follow step by step. A computer program of the consistent infinitesimal finite-element cell method available on disk analyses two- and three-dimensional unbounded and bounded media for the scalar and vector wave equations and the diffusion equation in the frequency and time domains.
Finite Element Modelling Of Unbounded Media
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Author : John P. Wolt
language : en
Publisher:
Release Date : 1996
Finite Element Modelling Of Unbounded Media written by John P. Wolt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mühendislik Jeolojisi categories.
The Scaled Boundary Finite Element Method
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Author : John P. Wolf
language : en
Publisher: John Wiley & Sons
Release Date : 2003-03-14
The Scaled Boundary Finite Element Method written by John P. Wolf and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-03-14 with Technology & Engineering categories.
A novel computational procedure called the scaled boundary finite-element method is described which combines the advantages of the finite-element and boundary-element methods : Of the finite-element method that no fundamental solution is required and thus expanding the scope of application, for instance to anisotropic material without an increase in complexity and that singular integrals are avoided and that symmetry of the results is automatically satisfied. Of the boundary-element method that the spatial dimension is reduced by one as only the boundary is discretized with surface finite elements, reducing the data preparation and computational efforts, that the boundary conditions at infinity are satisfied exactly and that no approximation other than that of the surface finite elements on the boundary is introduced. In addition, the scaled boundary finite-element method presents appealing features of its own : an analytical solution inside the domain is achieved, permitting for instance accurate stress intensity factors to be determined directly and no spatial discretization of certain free and fixed boundaries and interfaces between different materials is required. In addition, the scaled boundary finite-element method combines the advantages of the analytical and numerical approaches. In the directions parallel to the boundary, where the behaviour is, in general, smooth, the weighted-residual approximation of finite elements applies, leading to convergence in the finite-element sense. In the third (radial) direction, the procedure is analytical, permitting e.g. stress-intensity factors to be determined directly based on their definition or the boundary conditions at infinity to be satisfied exactly. In a nutshell, the scaled boundary finite-element method is a semi-analytical fundamental-solution-less boundary-element method based on finite elements. The best of both worlds is achieved in two ways: with respect to the analytical and numerical methods and with respect to the finite-element and boundary-element methods within the numerical procedures. The book serves two goals: Part I is an elementary text, without any prerequisites, a primer, but which using a simple model problem still covers all aspects of the method and Part II presents a detailed derivation of the general case of statics, elastodynamics and diffusion.
Finite Elements In Structural Analysis
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Author : Horst Werkle
language : en
Publisher: Springer Nature
Release Date : 2021-05-27
Finite Elements In Structural Analysis written by Horst Werkle and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-27 with Science categories.
The book introduces the basic concepts of the finite element method in the static and dynamic analysis of beam, plate, shell and solid structures, discussing how the method works, the characteristics of a finite element approximation and how to avoid the pitfalls of finite element modeling. Presenting the finite element theory as simply as possible, the book allows readers to gain the knowledge required when applying powerful FEA software tools. Further, it describes modeling procedures, especially for reinforced concrete structures, as well as structural dynamics methods, with a particular focus on the seismic analysis of buildings, and explores the modeling of dynamic systems. Featuring numerous illustrative examples, the book allows readers to easily grasp the fundamentals of the finite element theory and to apply the finite element method proficiently.
The Finite Element Method
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Author : A. J. Davies
language : en
Publisher: OUP Oxford
Release Date : 2011-09-08
The Finite Element Method written by A. J. Davies and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-08 with Mathematics categories.
The finite element method is a technique for solving problems in applied science and engineering. The essence of this book is the application of the finite element method to the solution of boundary and initial-value problems posed in terms of partial differential equations. The method is developed for the solution of Poisson's equation, in a weighted-residual context, and then proceeds to time-dependent and nonlinear problems. The relationship with the variational approach is also explained. This book is written at an introductory level, developing all the necessary concepts where required. Consequently, it is well-placed to be used as a textbook for a course in finite elements for final year undergraduates, the usual place for studying finite elements. There are worked examples throughout and each chapter has a set of exercises with detailed solutions.
Boundary Element Methods For Soil Structure Interaction
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Author : W.S. Hall
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-08
Boundary Element Methods For Soil Structure Interaction written by W.S. Hall and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-08 with Technology & Engineering categories.
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.
Computational Mechanics
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Author : Zhenhan Yao
language : en
Publisher: 清华大学出版社有限公司
Release Date : 2004
Computational Mechanics written by Zhenhan Yao and has been published by 清华大学出版社有限公司 this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Engineering design categories.
Soil Structure Interaction Numerical Analysis And Modelling
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Author : J.W. Bull
language : en
Publisher: CRC Press
Release Date : 2002-11-01
Soil Structure Interaction Numerical Analysis And Modelling written by J.W. Bull and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-01 with Architecture categories.
This book describes how a number of different methods of analysis and modelling, including the boundary element method, the finite element method, and a range of classical methods, are used to answer some of the questions associated with soil-structure interaction.
Boundary Elements And Other Mesh Reduction Methods Xxx
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Author : L. Škerget
language : en
Publisher: WIT Press
Release Date : 2008
Boundary Elements And Other Mesh Reduction Methods Xxx written by L. Škerget and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
The major motivation behind the Boundary Element Method (BEM) was to reduce the dependency of analysis on the definition of meshes. This has allowed the method to expand naturally into new techniques such as Dual Reciprocity and all other Mesh reduction Methods (MRM). MRM and BEM continue to be very active areas of research with many of the resulting techniques applied to solve increasingly complex problems. This book contains papers presented at the much-acclaimed thirtieth International Conference on Boundary Elements and other Mesh Reductions Methods . The proceedings contain papers on practically all major developments in Boundary Elements, including the most recent MRM techniques, grouped under the following topics: Fluid Flow; Heat Transfer; Electrical Engineering and Electromagnetics; Damage Mechanics and Fracture; Mesh Reduction Techniques; Advanced Computational Techniques
Information And Software Technologies
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Author : Tomas Skersys
language : en
Publisher: Springer
Release Date : 2013-10-06
Information And Software Technologies written by Tomas Skersys and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-06 with Computers categories.
This book constitutes the refereed proceedings of the 19th International Conference on Information and Software Technologies, ICIST 2013, held in Kaunas, Lithuania, in October 2013. The 34 papers presented were carefully reviewed and selected from 60 submissions. The papers focus on the following topics: information systems, business intelligence, software engineering, and IT applications.