Finite Element Methods
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Automation Of Finite Element Methods
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Author : Jože Korelc
language : en
Publisher: Springer
Release Date : 2016-06-08
Automation Of Finite Element Methods written by Jože Korelc and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-08 with Technology & Engineering categories.
New finite elements are needed as well in research as in industry environments for thedevelopment of virtual prediction techniques. The design and implementation of novel finiteelements for specific purposes is a tedious and time consuming task, especially for nonlinearformulations. The automation of this process can help to speed up this processconsiderably since the generation of the final computer code can be accelerated by order ofseveral magnitudes.This book provides the reader with the required knowledge needed to employ modernautomatic tools like AceGen within solid mechanics in a successful way. It covers the rangefrom the theoretical background, algorithmic treatments to many different applications. Thebook is written for advanced students in the engineering field and for researchers ineducational and industrial environments.
Finite Element Methods
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Author : Jonathan Whiteley
language : en
Publisher: Springer
Release Date : 2017-01-26
Finite Element Methods written by Jonathan Whiteley and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-26 with Science categories.
This book presents practical applications of the finite element method to general differential equations. The underlying strategy of deriving the finite element solution is introduced using linear ordinary differential equations, thus allowing the basic concepts of the finite element solution to be introduced without being obscured by the additional mathematical detail required when applying this technique to partial differential equations. The author generalizes the presented approach to partial differential equations which include nonlinearities. The book also includes variations of the finite element method such as different classes of meshes and basic functions. Practical application of the theory is emphasised, with development of all concepts leading ultimately to a description of their computational implementation illustrated using Matlab functions. The target audience primarily comprises applied researchers and practitioners in engineering, but the book may also be beneficial for graduate students.
Finite Element Analysis In Engineering Design
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Author : Rajasekaran S.
language : en
Publisher: S. Chand Publishing
Release Date : 2008
Finite Element Analysis In Engineering Design written by Rajasekaran S. and has been published by S. Chand Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Technology & Engineering categories.
During the past three decades,the finite element method of analysis has rapidly become a very popular tool for computer solution of complex problems in engineering.With the advent of digital computers the finite element method has greatly enlarged the range of engineering problems.The finite element method is very sucessful because of its generality,the formulation of the problem in variational or weighted residual form,discretization of the formulation and the solution of resulting finite element equations.The book is divided into sixteen chapters.In the first chapter,the historical background and the fundamentals of solid mechanics are discussed.The second chapter covers the discrete finite element method or direct stiffness approach to solve trusses which is quite often discussed in computer statics course.These structural concepts are necessary for the basic understanding of the method to a continuum.
Finite Element Methods And Their Applications
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Author : Zhangxin Chen
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-10-14
Finite Element Methods And Their Applications written by Zhangxin Chen 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 2005-10-14 with Science categories.
The ?nite element method is one of the major tools used in the numerical solution of partial di?erential equations. This book o?ers a fundamental and practical introduction to the method, its variants, and their applications. In presenting the material, I have attempted to introduce every concept in the simplest possible setting and to maintain a level of treatment that is as rigorous as possible without being unnecessarily abstract. The book is based on the material that I have used in a graduate course at Southern Methodist University for several years. Part of the material was alsousedformyseminarnotesatPurdueUniversity,UniversityofMinnesota, andTexasA&MUniversity.Furthermore,thisbookwasthebasisforsummer schools on the ?nite element method and its applications held in China, Iran, Mexico, and Venezuela. This book covers six major topics and four applications. In Chap. 1, the 1 2 standard (H-and H -conforming) ?nite element method is introduced. In Chaps.2and3,twocloselyrelated?niteelementmethods,thenonconforming and the mixed ?nite element methods, are discussed. The discontinuous and characteristic?niteelementmethodsarestudiedinChaps.4and5;thesetwo methods have been recently developed. The adaptive ?nite element method is considered in Chap. 6. The last four chapters are devoted to applications of these methods to solid mechanics (Chap. 7), ?uid mechanics (Chap. 8), ?uid ?ow in porous media (Chap. 9), and semiconductor modeling (Chap. 10).
The Finite Element Method Theory Implementation And Applications
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Author : Mats G. Larson
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-01-13
The Finite Element Method Theory Implementation And Applications written by Mats G. Larson 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 2013-01-13 with Mathematics categories.
This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. Throughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numerical software MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion and transport phenomena, solid and fluid mechanics, and also electromagnetics.
The Finite Element Method In Engineering
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Author : Singiresu S. Rao
language : en
Publisher: Butterworth-Heinemann
Release Date : 2017-10-31
The Finite Element Method In Engineering written by Singiresu S. Rao and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-31 with Technology & Engineering categories.
The Finite Element Method in Engineering, Sixth Edition, provides a thorough grounding in the mathematical principles behind the Finite Element Analysis technique—an analytical engineering tool originated in the 1960's by the aerospace and nuclear power industries to find usable, approximate solutions to problems with many complex variables. Rao shows how to set up finite element solutions in civil, mechanical and aerospace engineering applications. The new edition features updated real-world examples from MATLAB, Ansys and Abaqus, and a new chapter on additional FEM topics including extended FEM (X-FEM). Professional engineers will benefit from the introduction to the many useful applications of finite element analysis. - Includes revised and updated chapters on MATLAB, Ansys and Abaqus - Offers a new chapter, Additional Topics in Finite Element Method - Includes discussion of practical considerations, errors and pitfalls in FEM singularity elements - Features a brief presentation of recent developments in FEM including extended FEM (X-FEM), augmented FEM (A-FEM) and partition of unity FEM (POUFEM) - Features improved pedagogy, including the addition of more design-oriented and practical examples and problems - Covers real-life applications, sample review questions at the end of most chapters, and updated references
Mixed Finite Element Methods And Applications
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Author : Daniele Boffi
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-02
Mixed Finite Element Methods And Applications written by Daniele Boffi 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 2013-07-02 with Mathematics categories.
Non-standard finite element methods, in particular mixed methods, are central to many applications. In this text the authors, Boffi, Brezzi and Fortin present a general framework, starting with a finite dimensional presentation, then moving on to formulation in Hilbert spaces and finally considering approximations, including stabilized methods and eigenvalue problems. This book also provides an introduction to standard finite element approximations, followed by the construction of elements for the approximation of mixed formulations in H(div) and H(curl). The general theory is applied to some classical examples: Dirichlet's problem, Stokes' problem, plate problems, elasticity and electromagnetism.
The Finite Element Method In Engineering
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Author : S. S. Rao
language : en
Publisher: Pergamon
Release Date : 1982
The Finite Element Method In Engineering written by S. S. Rao and has been published by Pergamon this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with MATHEMATICS categories.
This method of analysing and modelling materials, structures and forms is based on turning physical shapes into mathematical models made up from descriptive nodes.
Finite Element Methods For Structural Engineers
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Author : Wail N. Al-Rifaie
language : en
Publisher: Finite Element Methods
Release Date : 2008
Finite Element Methods For Structural Engineers written by Wail N. Al-Rifaie and has been published by Finite Element Methods this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
About the Book: The book presents the basic ideas of the finite element method so that it can be used as a textbook in the curriculum for undergraduate and graduate engineering courses. In the presentation of fundamentals and derivations care had been taken not to use an advanced mathematical approach, rather the use of matrix algebra and calculus is made. Further no effort is being made to include the intricacies of the computer programming aspect, rather the material is presented in a manner so that the readers can understand the basic principles using hand calculations. However, a list of computer codes is given. Several illustrative examples are presented in a detailed stepwise manner to explain the various steps in the application of the method. A fairly comprehensive references list at the end of each chapter is given for additional information and further study. About the Author: Wail N. Al-Rifaie is Professor of Civil Engineering at the University of Technology, Baghdad, Iraq. He obtained his Ph.D. from the University College, Cardiff, U.K. in 1975. Dr. Wail established the Civil Engineering Department at the Engineering College in Baghdad and was the Head for nearly seven years. He received the Telford Premium Prize from the Institution of Civil Engineering (London) in 1976. His main areas of research are: Box girder bridge, folded plate structures, frames and shear walls including dynamic analysis. He is the author of three books on structural analysis in Arabic. Ashok K. Govil is Professor in the Department of Applied Mechanics, Motilal Nehru Regional Engineering College, Allahabad, India and was also Head of the same department for over five years. He obtained B.E. degree in Civil Engineering (1963) from BITS, Pilani, India, and M.S. (1969) and Ph.D., (1977) from the University of Iowa, Iowa City, U.S.A. Dr. Govil`s main areas of research are: Optimal design of structures, fail-safe design of structures, and finite element method. He has written several research papers and technical reports, and developed many computer programmes for optimal design of structures including dynamic analysis and vulnerability reduction.
Finite Element Methods With Programming And Ansys
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Author : Meung Kim
language : en
Publisher: Lulu.com
Release Date : 2013-02-25
Finite Element Methods With Programming And Ansys written by Meung Kim and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-25 with Technology & Engineering categories.
The book introduces the finite element method (FEM) that is one of the most powerful numerical tools these days. FEM is the analysis tool in most of CAD/CAM systems and it is critical to understand FEM for engineering design. It begins with underlying variational calculus and moves to variational/FEM formulations. It covers all basic procedures of assembly and solution procedures in several programming practices. Finally, it introduecs Ansys and Ansys WB software to apply FEM to advanced topics in various areas of engineering.