Download or read book Basic Principles of the Finite Element Method written by K. M. Entwistle and published by CRC Press. This book was released on 2001 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an introductory text which lays out the basic theory of the finite element method in a form that will be comprehensible to engineering and materials science students Although this book was written with materials scientists in mind, it will prove useful to all those interested in learning the fundamentals of the finite element method. The method is now widely used in research in materials science and technology. For example, it is the basis for the determination of the stress distribution in loaded specimens used in deformation and fracture studies. It is used to predict the mechanical behaviour of composite and of cellular solids and it is used to analyse materials processing of metals and polymers. Materials science researchers use one of the many available commercial finite element packages to model problems in these areas. These materials scientists and technologists are not always well informed about the principles of the analytical methods that these packages use. One reason for this is that they find the existing texts difficult to read. There is an extensive list of finite element books written mostly for engineers or mathematicians.In them the authors make assumptions that the reader has a facility with matrix algebra, has a grounding in applied mechanics and has an awareness of energy principles that do not feature prominently in undergraduate materials science courses and, in consequence, are rarely the stock in trade of materials science researchers or technologists. The objective of this book is to provide an introductory text which lays out the basic theory of the finite element method in a form that will be comprehensible to materials scientists. It presents the basic ideas in a sequential and measured fashion, avoiding the use of specialist vocabulary that is not clearly defined. The basic principles are illustrated by a diversity of examples which serve to reinforce the particular aspects of the theory, and there are three finite element analyses which are presented in extenso with the detailed mathematics exposed. By this means some of the mystery that can envelop commercial finite element packages is penetrated. Such is the extensive scale of finite element knowledge that any text of this introductory character must be selective in its choice of material.The criterion for the selection of topics has been guided by the wish to bring the readers to the point at the end of the book where they can develop their understanding further by reading the existing literature, in which there is a number of rigorous and scholarly texts with a wealth of detail on the move advanced aspects of the theory. No list of recommended texts is included. The choice of texts is a matter of personal choice. The most fruitful way forward is to browse the library shelves or the bookshop to seek a text that addresses the area in which enlightenment is sought in a way which accords with the readers current knowledge. The text deliberately used the second person plural in order to emphasise the intention that the treatment of the subject should constitute an (inevitably) one-sided tutorial with the reader. The cover diagram shows the stress contours round the hole of a loaded plate using quadrilateral elements. It is in fact a pictorial representation of the solution, part of which is quoted at the end of CH.1.

Download or read book Finite Element Methods in CAD written by Jean Claude Sabonnadiere and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite element method (FEM) has been understood, at least in principle, for more than 50 years. The integral formulation on which it is based has been known for a longer time (thanks to the work of Galerkin, Ritz, Courant and Hilbert,1.4 to mention the most important). However, the method could not be applied in a practical way since it involved the solution of a large number of linear or non-linear algebraic equations. Today it is quite common, with the aid of computers, to solve non-linear algebraic problems of several thousand equations. The necessary numerical methods and programming techniques are now an integral part of the teaching curriculum in most engineering schools. Mechanical engineers, confronted with very complicated structural problems, were the first to take advantage of advanced computational methods and high level languages (FORTRAN) to transform the mechanical models into algebraic equations (1956). In recent times (1960), the FEM has been studied by applied mathematicians and, having received rigorous treatment, has become a part of the more general study of partial differential equations, gradually replacing the finite difference method which had been considered the universal tool to solve these types of problems.

Download or read book The Finite Element Method Set written by O. C. Zienkiewicz and published by Elsevier. This book was released on 2005-11-25 with total page 1863 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sixth editions of these seminal books deliver the most up to date and comprehensive reference yet on the finite element method for all engineers and mathematicians. Renowned for their scope, range and authority, the new editions have been significantly developed in terms of both contents and scope. Each book is now complete in its own right and provides self-contained reference; used together they provide a formidable resource covering the theory and the application of the universally used FEM. Written by the leading professors in their fields, the three books cover the basis of the method, its application to solid mechanics and to fluid dynamics.* This is THE classic finite element method set, by two the subject's leading authors * FEM is a constantly developing subject, and any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in these books * Fully up-to-date; ideal for teaching and reference

Download or read book The Finite Element Method in Engineering written by Singiresu S. Rao and published by Pergamon. This book was released on 1989 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Lamb Wave Based Structural Health Monitoring in Polymer Composites written by Rolf Lammering and published by Springer. This book was released on 2017-08-30 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book focuses especially on the application of SHM technology to thin walled structural systems made from carbon fiber reinforced plastics. Here, guided elastic waves (Lamb-waves) show an excellent sensitivity to structural damages so that they are in the center of this book. It is divided into 4 sections dealing with analytical, numerical and experimental fundamentals, and subsequently with Lamb-wave propagation in fiber reinforced composites, SHM-systems and signal processing. The book is designed for engineering students as well as for researchers in the field of structural health monitoring and for users of this technology.

Download or read book The Finite Element Method Theory Implementation and Applications written by Mats G. Larson and published by Springer Science & Business Media. This book was released on 2013-01-13 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.​

Download or read book The Finite Element Method in Engineering written by Singiresu S. Rao and published by Elsevier. This book was released on 2011-03-15 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Finite Element Method in Engineering is the only book to provide a broad overview of the underlying principles of finite element analysis and where it fits into the larger context of other mathematically based engineering analytical tools. This is an updated and improved version of a finite element text long noted for its practical applications approach, its readability, and ease of use. Students will find in this textbook a thorough grounding of the mathematical principles underlying the popular, analytical methods for setting up a finite element solution based on mathematical equations. The book provides a host of real-world applications of finite element analysis, from structural design to problems in fluid mechanics and thermodynamics. It has added new sections on the assemblage of element equations, as well as an important new comparison between finite element analysis and other analytical methods showing advantages and disadvantages of each. This book will appeal to students in mechanical, structural, electrical, environmental and biomedical engineering. The only book to provide a broadoverview of the underlying principles of finite element analysis and where it fits into the larger context of other mathematically based engineering analytical tools. New sections added on the assemblage of element equations, and an important new comparison between finite element analysis and other analytical methods, showing the advantages and disadvantages of each.

Download or read book The Finite Element Method Solid mechanics written by O. C. Zienkiewicz and published by Butterworth-Heinemann. This book was released on 2000 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Finite Element Method written by P. E. Lewis and published by Addison-Wesley Longman. This book was released on 1991-01 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book TEXTBOOK OF FINITE ELEMENT ANALYSIS written by P. SESHU and published by PHI Learning Pvt. Ltd.. This book was released on 2003-01-01 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Introduction to Finite Element Methods written by Dieter Dinkler and published by Springer Nature. This book was released on 2023-09-28 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: The textbook at hand offers an introduction to Finite Element Methods from an engineering point of view comprising the basic principles of virtual work, derivations of displacement-based, mixed and hybrid element formulations for 1-D and 2-D membrane as well as bending structures and heat conduction. Different element geometries, including triangular elements and the isoparametric concept, and related numerical integration schemes, are presented. The element matrices and load vectors are derived in detail, the assembly at the system level is discussed with respect to fulfillment of boundary conditions and numerical efficiency. Evaluation of errors and investigations concerning the quality of the elements complete the work flow.

Download or read book Fundamentals of Finite Element Analysis written by David V. Hutton and published by McGraw-Hill Companies. This book was released on 2004 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new text, intended for the senior undergraduate finite element course in civil or mechanical engineering departments, gives students a solid basis in the mechanical principles of the finite element method and provides a theoretical foundation for applying available software analysis packages and evaluating the results obtained. Dr. Hutton discusses basic theory of the finite element method while avoiding variational calculus, instead focusing upon the engineering mechanics and mathematical background that may be expected of a senior undergraduate engineering student. The text relies upon basic equilibrium principles, introduction of the principle of minimum potential energy, and the Galerkin finite element method, which readily allows application of the FEM to nonstructural problems. The text is software-independent, making it flexible enough for use in a wide variety of programs, and offers a good selection of homework problems and examples.

Download or read book An Introduction to the Mathematical Theory of Finite Elements written by J. T. Oden and published by Courier Corporation. This book was released on 2012-05-23 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to the theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest mathematical backgrounds. It offers coherent, accessible demonstrations of the use of these techniques in developing the foundations of the theory of finite element approximations. J. T. Oden is Director of the Institute for Computational Engineering & Sciences (ICES) at the University of Texas at Austin, and J. N. Reddy is a Professor of Engineering at Texas A&M University. They developed this essentially self-contained text from their seminars and courses for students with diverse educational backgrounds. Their effective presentation begins with introductory accounts of the theory of distributions, Sobolev spaces, intermediate spaces and duality, the theory of elliptic equations, and variational boundary value problems. The second half of the text explores the theory of finite element interpolation, finite element methods for elliptic equations, and finite element methods for initial boundary value problems. Detailed proofs of the major theorems appear throughout the text, in addition to numerous examples.

Download or read book Mixed Finite Element Method written by Apostol Poceski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, based on 16 years of work on the finite element method, the author presents the essence of a new, direct approach to the FEM. The work is focused on the mixed method and shows how reliable results may be obtained with fewer equations than usual. The basic principles, the fundamentals and the essence of the FEM are presented, then the method is applied to the analysis of one, two, and three-dimensional problems. It is shown that mixed elements offer superior accuracy compared with stiffness elements. Finally, some new achievements and perspectives for further development are presented. The book is intended for undergraduate and graduate students, mathematicians, research engineers and practicing engineers. To understand the book, a familiarity with classical mechanics is sufficient.

Download or read book Finite Element Methods For Structural Engineers written by Wail N. Al-Rifaie and published by Finite Element Methods. This book was released on 2008 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations written by A. K. Aziz and published by Academic Press. This book was released on 2014-05-10 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations is a collection of papers presented at the 1972 Symposium by the same title, held at the University of Maryland, Baltimore County Campus. This symposium relates considerable numerical analysis involved in research in both theoretical and practical aspects of the finite element method. This text is organized into three parts encompassing 34 chapters. Part I focuses on the mathematical foundations of the finite element method, including papers on theory of approximation, variational principles, the problems of perturbations, and the eigenvalue problem. Part II covers a large number of important results of both a theoretical and a practical nature. This part discusses the piecewise analytic interpolation and approximation of triangulated polygons; the Patch test for convergence of finite elements; solutions for Dirichlet problems; variational crimes in the field; and superconvergence result for the approximate solution of the heat equation by a collocation method. Part III explores the many practical aspects of finite element method. This book will be of great value to mathematicians, engineers, and physicists.

Download or read book Practical Guide to Finite Elements written by Steven Lepi and published by CRC Press. This book was released on 2020-11-26 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assuming only basic knowledge of mathematics and engineering mechanics, this lucid reference introduces the fundamentals of finite element theory using easy-to-understand terms and simple problems-systematically grounding the practitioner in the basic principles then suggesting applications to more general cases. Furnishes a wealth of practical insights drawn from the extensive experience of a specialist in the field! Generously illustrated with over 200 detailed drawings to clarify discussions and containing key literature citations for more in-depth study of particular topics, this clearly written resource is an exceptional guide for mechanical, civil, aeronautic, automotive, electrical and electronics, and design engineers; engineering managers; and upper-level undergraduate, graduate, and continuing-education students in these disciplines.