Elementary Finite Element Method
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Author |
: Chandrakant S. Desai |
Publisher |
: Prentice Hall |
Total Pages |
: 454 |
Release |
: 1979 |
ISBN-10 |
: UOM:39076006130863 |
ISBN-13 |
: |
Rating |
: 4/5 (63 Downloads) |
Synopsis Elementary Finite Element Method by : Chandrakant S. Desai
Author |
: O. C. Zienkiewicz |
Publisher |
: Butterworth-Heinemann |
Total Pages |
: 482 |
Release |
: 2000 |
ISBN-10 |
: 0750650559 |
ISBN-13 |
: 9780750650557 |
Rating |
: 4/5 (59 Downloads) |
Synopsis The Finite Element Method: Solid mechanics by : O. C. Zienkiewicz
Author |
: Tarek I. Zohdi |
Publisher |
: Springer |
Total Pages |
: 113 |
Release |
: 2014-08-12 |
ISBN-10 |
: 9783319090368 |
ISBN-13 |
: 3319090364 |
Rating |
: 4/5 (68 Downloads) |
Synopsis A Finite Element Primer for Beginners by : Tarek I. Zohdi
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 |
: P. SESHU |
Publisher |
: PHI Learning Pvt. Ltd. |
Total Pages |
: 340 |
Release |
: 2003-01-01 |
ISBN-10 |
: 9788120323155 |
ISBN-13 |
: 8120323157 |
Rating |
: 4/5 (55 Downloads) |
Synopsis TEXTBOOK OF FINITE ELEMENT ANALYSIS by : P. SESHU
Designed for a one-semester course in Finite Element Method, this compact and well-organized text presents FEM as a tool to find approximate solutions to differential equations. This provides the student a better perspective on the technique and its wide range of applications. This approach reflects the current trend as the present-day applications range from structures to biomechanics to electromagnetics, unlike in conventional texts that view FEM primarily as an extension of matrix methods of structural analysis. After an introduction and a review of mathematical preliminaries, the book gives a detailed discussion on FEM as a technique for solving differential equations and variational formulation of FEM. This is followed by a lucid presentation of one-dimensional and two-dimensional finite elements and finite element formulation for dynamics. The book concludes with some case studies that focus on industrial problems and Appendices that include mini-project topics based on near-real-life problems. Postgraduate/Senior undergraduate students of civil, mechanical and aeronautical engineering will find this text extremely useful; it will also appeal to the practising engineers and the teaching community.
Author |
: Patrick Ciarlet |
Publisher |
: John Wiley & Sons |
Total Pages |
: 404 |
Release |
: 2023-07-26 |
ISBN-10 |
: 9781394229741 |
ISBN-13 |
: 1394229747 |
Rating |
: 4/5 (41 Downloads) |
Synopsis The Finite Element Method by : Patrick Ciarlet
The finite element method, which emerged in the 1950s to deal with structural mechanics problems, has since undergone continuous development. Using partial differential equation models, it is now present in such fields of application as mechanics, physics, chemistry, economics, finance and biology. It is also used in most scientific computing software, and many engineers become adept at using it in their modeling and numerical simulation activities. This book presents all the essential elements of the finite element method in a progressive and didactic way: the theoretical foundations, practical considerations of implementation, algorithms, as well as numerical illustrations created in MATLAB. Original exercises with detailed answers are provided at the end of each chapter.
Author |
: Pavel Ŝolín |
Publisher |
: John Wiley & Sons |
Total Pages |
: 505 |
Release |
: 2005-12-16 |
ISBN-10 |
: 9780471764090 |
ISBN-13 |
: 0471764094 |
Rating |
: 4/5 (90 Downloads) |
Synopsis Partial Differential Equations and the Finite Element Method by : Pavel Ŝolín
A systematic introduction to partial differential equations and modern finite element methods for their efficient numerical solution Partial Differential Equations and the Finite Element Method provides a much-needed, clear, and systematic introduction to modern theory of partial differential equations (PDEs) and finite element methods (FEM). Both nodal and hierachic concepts of the FEM are examined. Reflecting the growing complexity and multiscale nature of current engineering and scientific problems, the author emphasizes higher-order finite element methods such as the spectral or hp-FEM. A solid introduction to the theory of PDEs and FEM contained in Chapters 1-4 serves as the core and foundation of the publication. Chapter 5 is devoted to modern higher-order methods for the numerical solution of ordinary differential equations (ODEs) that arise in the semidiscretization of time-dependent PDEs by the Method of Lines (MOL). Chapter 6 discusses fourth-order PDEs rooted in the bending of elastic beams and plates and approximates their solution by means of higher-order Hermite and Argyris elements. Finally, Chapter 7 introduces the reader to various PDEs governing computational electromagnetics and describes their finite element approximation, including modern higher-order edge elements for Maxwell's equations. The understanding of many theoretical and practical aspects of both PDEs and FEM requires a solid knowledge of linear algebra and elementary functional analysis, such as functions and linear operators in the Lebesgue, Hilbert, and Sobolev spaces. These topics are discussed with the help of many illustrative examples in Appendix A, which is provided as a service for those readers who need to gain the necessary background or require a refresher tutorial. Appendix B presents several finite element computations rooted in practical engineering problems and demonstrates the benefits of using higher-order FEM. Numerous finite element algorithms are written out in detail alongside implementation discussions. Exercises, including many that involve programming the FEM, are designed to assist the reader in solving typical problems in engineering and science. Specifically designed as a coursebook, this student-tested publication is geared to upper-level undergraduates and graduate students in all disciplines of computational engineeringand science. It is also a practical problem-solving reference for researchers, engineers, and physicists.
Author |
: Jacob Fish |
Publisher |
: Wiley-Blackwell |
Total Pages |
: 319 |
Release |
: 2007-06-12 |
ISBN-10 |
: 0470035803 |
ISBN-13 |
: 9780470035801 |
Rating |
: 4/5 (03 Downloads) |
Synopsis A First Course in Finite Elements by : Jacob Fish
Developed from the authors, combined total of 50 years undergraduate and graduate teaching experience, this book presents the finite element method formulated as a general-purpose numerical procedure for solving engineering problems governed by partial differential equations. Focusing on the formulation and application of the finite element method through the integration of finite element theory, code development, and software application, the book is both introductory and self-contained, as well as being a hands-on experience for any student. This authoritative text on Finite Elements: Adopts a generic approach to the subject, and is not application specific In conjunction with a web-based chapter, it integrates code development, theory, and application in one book Provides an accompanying Web site that includes ABAQUS Student Edition, Matlab data and programs, and instructor resources Contains a comprehensive set of homework problems at the end of each chapter Produces a practical, meaningful course for both lecturers, planning a finite element module, and for students using the text in private study. Accompanied by a book companion website housing supplementary material that can be found at http://www.wileyeurope.com/college/Fish A First Course in Finite Elements is the ideal practical introductory course for junior and senior undergraduate students from a variety of science and engineering disciplines. The accompanying advanced topics at the end of each chapter also make it suitable for courses at graduate level, as well as for practitioners who need to attain or refresh their knowledge of finite elements through private study.
Author |
: Sylvie Pommier |
Publisher |
: John Wiley & Sons |
Total Pages |
: 271 |
Release |
: 2013-03-04 |
ISBN-10 |
: 9781118622698 |
ISBN-13 |
: 1118622693 |
Rating |
: 4/5 (98 Downloads) |
Synopsis Extended Finite Element Method for Crack Propagation by : Sylvie Pommier
Novel techniques for modeling 3D cracks and their evolution in solids are presented. Cracks are modeled in terms of signed distance functions (level sets). Stress, strain and displacement field are determined using the extended finite elements method (X-FEM). Non-linear constitutive behavior for the crack tip region are developed within this framework to account for non-linear effect in crack propagation. Applications for static or dynamics case are provided.
Author |
: Nitin S. Gokhale |
Publisher |
: FINITE TO INFINITE |
Total Pages |
: 27 |
Release |
: 2008 |
ISBN-10 |
: 9788190619509 |
ISBN-13 |
: 8190619500 |
Rating |
: 4/5 (09 Downloads) |
Synopsis Practical Finite Element Analysis by : Nitin S. Gokhale
Highlights of the book: Discussion about all the fields of Computer Aided Engineering, Finite Element Analysis Sharing of worldwide experience by more than 10 working professionals Emphasis on Practical usuage and minimum mathematics Simple language, more than 1000 colour images International quality printing on specially imported paper Why this book has been written ... FEA is gaining popularity day by day & is a sought after dream career for mechanical engineers. Enthusiastic engineers and managers who want to refresh or update the knowledge on FEA are encountered with volume of published books. Often professionals realize that they are not in touch with theoretical concepts as being pre-requisite and find it too mathematical and Hi-Fi. Many a times these books just end up being decoration in their book shelves ... All the authors of this book are from IIT€™s & IISc and after joining the industry realized gap between university education and the practical FEA. Over the years they learned it via interaction with experts from international community, sharing experience with each other and hard route of trial & error method. The basic aim of this book is to share the knowledge & practices used in the industry with experienced and in particular beginners so as to reduce the learning curve & avoid reinvention of the cycle. Emphasis is on simple language, practical usage, minimum mathematics & no pre-requisites. All basic concepts of engineering are included as & where it is required. It is hoped that this book would be helpful to beginners, experienced users, managers, group leaders and as additional reading material for university courses.
Author |
: Tai-Ran Hsu |
Publisher |
: John Wiley & Sons |
Total Pages |
: 541 |
Release |
: 2018-04-30 |
ISBN-10 |
: 9781119071204 |
ISBN-13 |
: 1119071208 |
Rating |
: 4/5 (04 Downloads) |
Synopsis Applied Engineering Analysis by : Tai-Ran Hsu
A resource book applying mathematics to solve engineering problems Applied Engineering Analysis is a concise textbookwhich demonstrates how toapply mathematics to solve engineering problems. It begins with an overview of engineering analysis and an introduction to mathematical modeling, followed by vector calculus, matrices and linear algebra, and applications of first and second order differential equations. Fourier series and Laplace transform are also covered, along with partial differential equations, numerical solutions to nonlinear and differential equations and an introduction to finite element analysis. The book also covers statistics with applications to design and statistical process controls. Drawing on the author's extensive industry and teaching experience, spanning 40 years, the book takes a pedagogical approach and includes examples, case studies and end of chapter problems. It is also accompanied by a website hosting a solutions manual and PowerPoint slides for instructors. Key features: Strong emphasis on deriving equations, not just solving given equations, for the solution of engineering problems. Examples and problems of a practical nature with illustrations to enhance student’s self-learning. Numerical methods and techniques, including finite element analysis. Includes coverage of statistical methods for probabilistic design analysis of structures and statistical process control (SPC). Applied Engineering Analysis is a resource book for engineering students and professionals to learn how to apply the mathematics experience and skills that they have already acquired to their engineering profession for innovation, problem solving, and decision making.