A Finite Element Primer PDF Download
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Author | : Tarek I. Zohdi |
Publisher | : Springer |
Total Pages | : 113 |
Release | : 2014-08-12 |
Genre | : Science |
ISBN | : 3319090364 |
Download A Finite Element Primer for Beginners Book in PDF, ePub and Kindle
The purpose of this primer is to provide the basics of the Finite Element Method, primarily illustrated through a classical model problem, linearized elasticity. The topics covered are: (1) Weighted residual methods and Galerkin approximations, (2) A model problem for one-dimensional linear elastostatics, (3) Weak formulations in one dimension, (4) Minimum principles in one dimension, (5) Error estimation in one dimension, (5) Construction of Finite Element basis functions in one dimension, (6) Gaussian Quadrature, (7) Iterative solvers and element by element data structures, (8) A model problem for three-dimensional linear elastostatics, (9) Weak formulations in three dimensions, (10) Basic rules for element construction in three-dimensions, (11) Assembly of the system and solution schemes, (12) Assembly of the system and solution schemes, (13) An introduction to time-dependent problems and (14) A brief introduction to rapid computation based on domain decomposition and basic parallel processing.
Author | : Paul Jacob |
Publisher | : |
Total Pages | : 128 |
Release | : 2002 |
Genre | : Finite element method |
ISBN | : 9781874376453 |
Download An Explicit Finite Element Primer Book in PDF, ePub and Kindle
Author | : Anand V. Kulkarni |
Publisher | : Laxmi Publications |
Total Pages | : 283 |
Release | : 2011-07 |
Genre | : |
ISBN | : 9381159106 |
Download A Primer on Finite Element Analysis Book in PDF, ePub and Kindle
Author | : Tarek I. Zohdi |
Publisher | : Springer |
Total Pages | : 139 |
Release | : 2017-12-30 |
Genre | : Science |
ISBN | : 3319704281 |
Download A Finite Element Primer for Beginners Book in PDF, ePub and Kindle
The purpose of this primer is to provide the basics of the Finite Element Method, primarily illustrated through a classical model problem, linearized elasticity. The topics covered are: • Weighted residual methods and Galerkin approximations, • A model problem for one-dimensional linear elastostatics, • Weak formulations in one dimension, • Minimum principles in one dimension, • Error estimation in one dimension, • Construction of Finite Element basis functions in one dimension, • Gaussian Quadrature, • Iterative solvers and element by element data structures, • A model problem for three-dimensional linear elastostatics, • Weak formulations in three dimensions, • Basic rules for element construction in three-dimensions, • Assembly of the system and solution schemes, • An introduction to time-dependent problems and • An introduction to rapid computation based on domain decomposition and basic parallel processing. The approach is to introduce the basic concepts first in one-dimension, then move on to three-dimensions. A relatively informal style is adopted. This primer is intended to be a “starting point”, which can be later augmented by the large array of rigorous, detailed, books in the area of Finite Element analysis. In addition to overall improvements to the first edition, this second edition also adds several carefully selected in-class exam problems from exams given over the last 15 years at UC Berkeley, as well as a large number of take-home computer projects. These problems and projects are designed to be aligned to the theory provided in the main text of this primer.
Author | : Bruce Irons |
Publisher | : |
Total Pages | : 157 |
Release | : 2000 |
Genre | : Finite element method |
ISBN | : |
Download Finite Element Primer Book in PDF, ePub and Kindle
Author | : Kajal K. Gupta |
Publisher | : AIAA |
Total Pages | : 458 |
Release | : 2003 |
Genre | : Finite element method |
ISBN | : 9781600860539 |
Download Finite Element Multidisciplinary Analysis Book in PDF, ePub and Kindle
Annotation This book fills a gap within the finite element literature by addressing the challenges and developments in multidiscipli-nary analysis. Current developments include disciplines of structural mechanics, heat transfer, fluid mechanics, controls engineering and propulsion technology, and their interaction as encountered in many practical problems in aeronautical, aerospace, and mechanical engineering, among others. These topics are reflected in the 15 chapter titles of the book. Numerical problems are provided to illustrate the applicability of the techniques. Exercises may be solved either manually or by using suitable computer software. A version of the multidisciplinary analysis program STARS is available from the author. As a textbook, the book is useful at the senior undergraduate or graduate level. The practicing engineer will find it invaluable for solving full-scale practical problems.
Author | : John P. Wolf |
Publisher | : John Wiley & Sons |
Total Pages | : 398 |
Release | : 2003-03-14 |
Genre | : Technology & Engineering |
ISBN | : 9780471486824 |
Download The Scaled Boundary Finite Element Method Book in PDF, ePub and Kindle
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.
Author | : Farzad Ebrahimi |
Publisher | : BoD – Books on Demand |
Total Pages | : 414 |
Release | : 2012-10-10 |
Genre | : Technology & Engineering |
ISBN | : 9535107690 |
Download Finite Element Analysis Book in PDF, ePub and Kindle
In the past few decades, the Finite Element Method (FEM) has been developed into a key indispensable technology in the modeling and simulation of various engineering systems. The present book reports on the state of the art research and development findings on this very broad matter through original and innovative research studies exhibiting various investigation directions of FEM in electrical, civil, materials and biomedical engineering. This book is a result of contributions of experts from international scientific community working in different aspects of FEM. The text is addressed not only to researchers, but also to professional engineers, students and other experts in a variety of disciplines, both academic and industrial seeking to gain a better understanding of what has been done in the field recently, and what kind of open problems are in this area.
Author | : Charles E. Knight |
Publisher | : Brooks/Cole |
Total Pages | : 102 |
Release | : 1994 |
Genre | : Technology & Engineering |
ISBN | : |
Download A Finite Element Method Primer for Mechanical Design Book in PDF, ePub and Kindle
Author | : Thomas J. R. Hughes |
Publisher | : Courier Corporation |
Total Pages | : 706 |
Release | : 2012-05-23 |
Genre | : Technology & Engineering |
ISBN | : 0486135020 |
Download The Finite Element Method Book in PDF, ePub and Kindle
Designed for students without in-depth mathematical training, this text includes a comprehensive presentation and analysis of algorithms of time-dependent phenomena plus beam, plate, and shell theories. Solution guide available upon request.