Automation Of Finite Element Methods

Author : Jože Korelc,Peter Wriggers
Publisher : Springer
Page : 346 pages
File Size : 44,6 Mb
Release : 2016-06-08
Category : Technology & Engineering
ISBN : 9783319390055

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Automation of Finite Element Methods by Jože Korelc,Peter Wriggers Pdf

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.

Author : Anders Logg,Kent-Andre Mardal,Garth Wells
Publisher : Springer Science & Business Media
Page : 731 pages
File Size : 47,9 Mb
Release : 2012-02-24
Category : Computers
ISBN : 9783642230998

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Automated Solution of Differential Equations by the Finite Element Method by Anders Logg,Kent-Andre Mardal,Garth Wells Pdf

This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Following are chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.

Author : Peter Wriggers
Publisher : Springer Science & Business Media
Page : 566 pages
File Size : 50,9 Mb
Release : 2008-11-04
Category : Technology & Engineering
ISBN : 9783540710011

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Nonlinear Finite Element Methods by Peter Wriggers Pdf

Finite element methods have become ever more important to engineers as tools for design and optimization, now even for solving non-linear technological problems. However, several aspects must be considered for finite-element simulations which are specific for non-linear problems: These problems require the knowledge and the understanding of theoretical foundations and their finite-element discretization as well as algorithms for solving the non-linear equations. This book provides the reader with the required knowledge covering the complete field of finite element analyses in solid mechanics. It is written for advanced students in engineering fields but serves also as an introduction into non-linear simulation for the practising engineer.

Author : John Brauer
Publisher : CRC Press
Page : 350 pages
File Size : 46,9 Mb
Release : 1993-05-05
Category : Technology & Engineering
ISBN : 0824789547

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What Every Engineer Should Know about Finite Element Analysis, Second Edition, by John Brauer Pdf

Summarizing the history and basic concepts of finite elements in a manner easily understood by all engineers, this concise reference describes specific finite element software applications to structural, thermal, electromagnetic and fluid analysis - detailing the latest developments in design optimization, finite element model building and results processing and future trends.;Requiring no previous knowledge of finite elements analysis, the Second Edition provides new material on: p elements; iterative solvers; design optimization; dynamic open boundary finite elements; electric circuits coupled to finite elements; anisotropic and complex materials; electromagnetic eigenvalues; and automated pre- and post-processing software.;Containing more than 120 tables and computer-drawn illustrations - and including two full-colour plates - What Every Engineer Should Know About Finite Element Analysis should be of use to engineers, engineering students and other professionals involved with product design or analysis.

Author : Thomas H. Gibson,Andrew T.T. McRae,Colin J. Cotter,Lawrence Mitchell,David A. Ham
Publisher : Springer Nature
Page : 118 pages
File Size : 50,7 Mb
Release : 2019-08-26
Category : Mathematics
ISBN : 9783030239572

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Compatible Finite Element Methods for Geophysical Flows by Thomas H. Gibson,Andrew T.T. McRae,Colin J. Cotter,Lawrence Mitchell,David A. Ham Pdf

This book introduces recently developed mixed finite element methods for large-scale geophysical flows that preserve essential numerical properties for accurate simulations. The methods are presented using standard models of atmospheric flows and are implemented using the Firedrake finite element library. Examples guide the reader through problem formulation, discretisation, and automated implementation. The so-called “compatible” finite element methods possess key numerical properties which are crucial for real-world operational weather and climate prediction. The authors summarise the theory and practical implications of these methods for model problems, introducing the reader to the Firedrake package and providing open-source implementations for all the examples covered. Students and researchers with engineering, physics, mathematics, or computer science backgrounds will benefit from this book. Those readers who are less familiar with the topic are provided with an overview of geophysical fluid dynamics.

Author : Debasis Deb
Publisher : PHI Learning Pvt. Ltd.
Page : 377 pages
File Size : 49,9 Mb
Release : 2010
Category : Finite element method
ISBN : 9788120342958

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Finite Element Methods : Concepts and Applications in Geomechanics by Debasis Deb Pdf

Author : P. SESHU
Publisher : PHI Learning Pvt. Ltd.
Page : 340 pages
File Size : 41,5 Mb
Release : 2003-01-01
Category : Mathematics
ISBN : 9788120323155

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TEXTBOOK OF FINITE ELEMENT ANALYSIS by P. SESHU Pdf

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 : Y.K. Cheung,A.Y.T. Leung
Publisher : Springer Science & Business Media
Page : 314 pages
File Size : 50,5 Mb
Release : 1992-01-31
Category : Science
ISBN : 0792313135

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Finite Element Methods in Dynamics by Y.K. Cheung,A.Y.T. Leung Pdf

This book presents the latest developments in structural dynamics with particular emphasis on the formulation of equations of motion by finite element methods and their solution using microcomputers. The book discusses the use of frequency-dependent shape functions for realistic finite element modelling, as opposed to the approximate conventional shape functions. A useful feature of the book in handling the forced vibration problem is the separation of the solution into two parts; the steady state and transient. Advanced topics such as substructure and synthesis are viewed in a modern unified manner. A complete listing of the finite element programme NATVIB used is given.

Author : Zhuming Bi
Publisher : Academic Press
Page : 520 pages
File Size : 48,6 Mb
Release : 2017-12-16
Category : Technology & Engineering
ISBN : 9780128103999

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Finite Element Analysis Applications by Zhuming Bi Pdf

Finite Element Analysis Applications: A Systematic and Practical Approach strikes a solid balance between more traditional FEA textbooks that focus primarily on theory, and the software specific guidebooks that help teach students and professionals how to use particular FEA software packages without providing the theoretical foundation. In this new textbook, Professor Bi condenses the introduction of theories and focuses mainly on essentials that students need to understand FEA models. The book is organized to be application-oriented, covering FEA modeling theory and skills directly associated with activities involved in design processes. Discussion of classic FEA elements (such as truss, beam and frame) is limited. Via the use of several case studies, the book provides easy-to-follow guidance on modeling of different design problems. It uses SolidWorks simulation as the platform so that students do not need to waste time creating geometries for FEA modelling. Provides a systematic approach to dealing with the complexity of various engineering designs Includes sections on the design of machine elements to illustrate FEA applications Contains practical case studies presented as tutorials to facilitate learning of FEA methods Includes ancillary materials, such as a solutions manual for instructors, PPT lecture slides and downloadable CAD models for examples in SolidWorks

Author : Singiresu S. Rao
Publisher : Elsevier
Page : 688 pages
File Size : 47,9 Mb
Release : 2011-03-15
Category : Technology & Engineering
ISBN : 9780080470504

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The Finite Element Method in Engineering by Singiresu S. Rao Pdf

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.

Author : Peter Wriggers
Publisher : Springer Science & Business Media
Page : 566 pages
File Size : 44,7 Mb
Release : 2008-09-24
Category : Mathematics
ISBN : 9783540710004

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Nonlinear Finite Element Methods by Peter Wriggers Pdf

Finite element methods have become ever more important to engineers as tools for design and optimization, now even for solving non-linear technological problems. However, several aspects must be considered for finite-element simulations which are specific for non-linear problems: These problems require the knowledge and the understanding of theoretical foundations and their finite-element discretization as well as algorithms for solving the non-linear equations. This book provides the reader with the required knowledge covering the complete field of finite element analyses in solid mechanics. It is written for advanced students in engineering fields but serves also as an introduction into non-linear simulation for the practising engineer.

Author : Y. M. Desai
Publisher : Pearson Education India
Page : 492 pages
File Size : 48,8 Mb
Release : 2011
Category : Electronic books
ISBN : 8131724646

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Finite Element Method with Applications in Engineering by Y. M. Desai Pdf

The book explains the finite element method with various engineering applications to help students, teachers, engineers and researchers. It explains mathematical modeling of engineering problems and approximate methods of analysis and different approaches.

Author : Thomas J. R. Hughes
Publisher : Unknown
Page : 128 pages
File Size : 44,6 Mb
Release : 1992
Category : Electronic
ISBN : OCLC:1074238904

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˜Theœ finite element method by Thomas J. R. Hughes Pdf

Author : Michel Krizek,Pekka Neittaanmaki,Rolf Stenberg
Publisher : CRC Press
Page : 536 pages
File Size : 47,7 Mb
Release : 2016-04-19
Category : Mathematics
ISBN : 9781482277692

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finite element methods by Michel Krizek,Pekka Neittaanmaki,Rolf Stenberg Pdf

These proceedings originated from a conference commemorating the 50th anniversary of the publication of Richard Courant's seminal paper, Variational Methods for Problems of Equilibrium and Vibration. These papers address fundamental questions in numerical analysis and the special problems that occur in applying the finite element method to various fields of science and engineering.

Author : Roger T Fenner
Publisher : World Scientific Publishing Company
Page : 272 pages
File Size : 44,9 Mb
Release : 2013-01-17
Category : Technology & Engineering
ISBN : 9781908979674

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Finite Element Methods for Engineers by Roger T Fenner Pdf

This book is intended as a textbook providing a deliberately simple introduction to finite element methods in a way that should be readily understandable to engineers, both students and practising professionals. Only the very simplest elements are considered, mainly two dimensional three-noded “constant strain triangles”, with simple linear variation of the relevant variables. Chapters of the book deal with structural problems (beams), classification of a broad range of engineering into harmonic and biharmonic types, finite element analysis of harmonic problems, and finite element analysis of biharmonic problems (plane stress and plane strain). Full FORTRAN programs are listed and explained in detail, and a range of practical problems solved in the text. Despite being somewhat unfashionable for general programming purposes, the FORTRAN language remains very widely used in engineering. The programs listed, which were originally developed for use on mainframe computers, have been thoroughly updated for use on desktops and laptops. Unlike the first edition, the new edition has problems (with solutions) at the end of each chapter. Electronic copies of all the computer programs displayed in the book can be downloaded at: http://www.worldscientific.com/doi/suppl/10.1142/p847/suppl_file/p847_program.zip.