Introduction to the Finite Element Method and Implementation with MATLAB
Title | Introduction to the Finite Element Method and Implementation with MATLAB PDF eBook |
Author | Gang Li |
Publisher | Cambridge University Press |
Total Pages | 525 |
Release | 2020-07-30 |
Genre | Science |
ISBN | 1108471684 |
An introductory textbook for engineering students, connecting finite element theory with practical application and implementation.
Introduction to Finite Element Analysis Using MATLAB® and Abaqus
Title | Introduction to Finite Element Analysis Using MATLAB® and Abaqus PDF eBook |
Author | Amar Khennane |
Publisher | CRC Press |
Total Pages | 490 |
Release | 2013-06-10 |
Genre | Technology & Engineering |
ISBN | 1466580208 |
There are some books that target the theory of the finite element, while others focus on the programming side of things. Introduction to Finite Element Analysis Using MATLAB® and Abaqus accomplishes both. This book teaches the first principles of the finite element method. It presents the theory of the finite element method while maintaining a balance between its mathematical formulation, programming implementation, and application using commercial software. The computer implementation is carried out using MATLAB, while the practical applications are carried out in both MATLAB and Abaqus. MATLAB is a high-level language specially designed for dealing with matrices, making it particularly suited for programming the finite element method, while Abaqus is a suite of commercial finite element software. Includes more than 100 tables, photographs, and figures Provides MATLAB codes to generate contour plots for sample results Introduction to Finite Element Analysis Using MATLAB and Abaqus introduces and explains theory in each chapter, and provides corresponding examples. It offers introductory notes and provides matrix structural analysis for trusses, beams, and frames. The book examines the theories of stress and strain and the relationships between them. The author then covers weighted residual methods and finite element approximation and numerical integration. He presents the finite element formulation for plane stress/strain problems, introduces axisymmetric problems, and highlights the theory of plates. The text supplies step-by-step procedures for solving problems with Abaqus interactive and keyword editions. The described procedures are implemented as MATLAB codes and Abaqus files can be found on the CRC Press website.
MATLAB Codes for Finite Element Analysis
Title | MATLAB Codes for Finite Element Analysis PDF eBook |
Author | A. J. M. Ferreira |
Publisher | Springer Science & Business Media |
Total Pages | 236 |
Release | 2008-11-06 |
Genre | Technology & Engineering |
ISBN | 1402092008 |
This book intend to supply readers with some MATLAB codes for ?nite element analysis of solids and structures. After a short introduction to MATLAB, the book illustrates the ?nite element implementation of some problems by simple scripts and functions. The following problems are discussed: • Discrete systems, such as springs and bars • Beams and frames in bending in 2D and 3D • Plane stress problems • Plates in bending • Free vibration of Timoshenko beams and Mindlin plates, including laminated composites • Buckling of Timoshenko beams and Mindlin plates The book does not intends to give a deep insight into the ?nite element details, just the basic equations so that the user can modify the codes. The book was prepared for undergraduate science and engineering students, although it may be useful for graduate students. TheMATLABcodesofthisbookareincludedinthedisk.Readersarewelcomed to use them freely. The author does not guarantee that the codes are error-free, although a major e?ort was taken to verify all of them. Users should use MATLAB 7.0 or greater when running these codes. Any suggestions or corrections are welcomed by an email to [email protected].
Introduction to Finite and Spectral Element Methods Using MATLAB
Title | Introduction to Finite and Spectral Element Methods Using MATLAB PDF eBook |
Author | Constantine Pozrikidis |
Publisher | CRC Press |
Total Pages | 823 |
Release | 2014-06-20 |
Genre | Mathematics |
ISBN | 1482209160 |
Incorporating new topics and original material, Introduction to Finite and Spectral Element Methods Using MATLAB, Second Edition enables readers to quickly understand the theoretical foundation and practical implementation of the finite element method and its companion spectral element method. Readers gain hands-on computational experience by using
MATLAB Guide to Finite Elements
Title | MATLAB Guide to Finite Elements PDF eBook |
Author | Peter I. Kattan |
Publisher | Springer Science & Business Media |
Total Pages | 392 |
Release | 2013-04-17 |
Genre | Technology & Engineering |
ISBN | 3662052091 |
This book explores numerical implementation of Finite Element Analysis using MATLAB. Stressing interactive use of MATLAB, it provides examples and exercises from mechanical, civil and aerospace engineering as well as materials science. The text includes a short MATLAB tutorial. An extensive solutions manual offers detailed solutions to all problems in the book for classroom use. The second edition includes a new brick (solid) element with eight nodes and a one-dimensional fluid flow element. Also added is a review of applications of finite elements in fluid flow, heat transfer, structural dynamics and electro-magnetics. The accompanying CD-ROM presents more than fifty MATLAB functions.
The Finite Element Method: Theory, Implementation, and Applications
Title | The Finite Element Method: Theory, Implementation, and Applications PDF eBook |
Author | Mats G. Larson |
Publisher | Springer Science & Business Media |
Total Pages | 403 |
Release | 2013-01-13 |
Genre | Computers |
ISBN | 3642332870 |
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 Using MATLAB
Title | The Finite Element Method Using MATLAB PDF eBook |
Author | Young W. Kwon |
Publisher | CRC Press |
Total Pages | 626 |
Release | 2018-10-03 |
Genre | Technology & Engineering |
ISBN | 9781420041880 |
Expanded to include a broader range of problems than the bestselling first edition, Finite Element Method Using MATLAB: Second Edition presents finite element approximation concepts, formulation, and programming in a format that effectively streamlines the learning process. It is written from a general engineering and mathematical perspective rather than that of a solid/structural mechanics basis. What's new in the Second Edition? Each chapter in the Second Edition now includes an overview that outlines the contents and purpose of each chapter. The authors have also added a new chapter of special topics in applications, including cracks, semi-infinite and infinite domains, buckling, and thermal stress. They discuss three different linearization techniques to solve nonlinear differential equations. Also included are new sections on shell formulations and MATLAB programs. These enhancements increase the book's already significant value both as a self-study text and a reference for practicing engineers and scientists.