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Essentials Of The Finite Element Method

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Essentials of the Finite Element Method

Essentials of the Finite Element Method Book
Author : Dimitrios G Pavlou
Publisher : Academic Press
Release : 2015-07-14
ISBN : 0128026065
Language : En, Es, Fr & De

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Book Description :

Fundamental coverage, analytic mathematics, and up-to-date software applications are hard to find in a single text on the finite element method (FEM). Dimitrios Pavlou’s Essentials of the Finite Element Method: For Structural and Mechanical Engineers makes the search easier by providing a comprehensive but concise text for those new to FEM, or just in need of a refresher on the essentials. Essentials of the Finite Element Method explains the basics of FEM, then relates these basics to a number of practical engineering applications. Specific topics covered include linear spring elements, bar elements, trusses, beams and frames, heat transfer, and structural dynamics. Throughout the text, readers are shown step-by-step detailed analyses for finite element equations development. The text also demonstrates how FEM is programmed, with examples in MATLAB, CALFEM, and ANSYS allowing readers to learn how to develop their own computer code. Suitable for everyone from first-time BSc/MSc students to practicing mechanical/structural engineers, Essentials of the Finite Element Method presents a complete reference text for the modern engineer. Provides complete and unified coverage of the fundamentals of finite element analysis Covers stiffness matrices for widely used elements in mechanical and civil engineering practice Offers detailed and integrated solutions of engineering examples and computer algorithms in ANSYS, CALFEM, and MATLAB

The Finite Element Method in Electromagnetics

The Finite Element Method in Electromagnetics Book
Author : Jian-Ming Jin
Publisher : John Wiley & Sons
Release : 2015-02-18
ISBN : 1118842022
Language : En, Es, Fr & De

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Book Description :

A new edition of the leading textbook on the finite element method, incorporating major advancements and further applications in the field of electromagnetics The finite element method (FEM) is a powerful simulation technique used to solve boundary-value problems in a variety of engineering circumstances. It has been widely used for analysis of electromagnetic fields in antennas, radar scattering, RF and microwave engineering, high-speed/high-frequency circuits, wireless communication, electromagnetic compatibility, photonics, remote sensing, biomedical engineering, and space exploration. The Finite Element Method in Electromagnetics, Third Edition explains the method’s processes and techniques in careful, meticulous prose and covers not only essential finite element method theory, but also its latest developments and applications—giving engineers a methodical way to quickly master this very powerful numerical technique for solving practical, often complicated, electromagnetic problems. Featuring over thirty percent new material, the third edition of this essential and comprehensive text now includes: A wider range of applications, including antennas, phased arrays, electric machines, high-frequency circuits, and crystal photonics The finite element analysis of wave propagation, scattering, and radiation in periodic structures The time-domain finite element method for analysis of wideband antennas and transient electromagnetic phenomena Novel domain decomposition techniques for parallel computation and efficient simulation of large-scale problems, such as phased-array antennas and photonic crystals Along with a great many examples, The Finite Element Method in Electromagnetics is an ideal book for engineering students as well as for professionals in the field.

Fundamentals of Finite Element Analysis

Fundamentals of Finite Element Analysis Book
Author : Ioannis Koutromanos
Publisher : John Wiley & Sons
Release : 2018-03-05
ISBN : 1119260086
Language : En, Es, Fr & De

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Book Description :

An introductory textbook covering the fundamentals of linear finite element analysis (FEA) This book constitutes the first volume in a two-volume set that introduces readers to the theoretical foundations and the implementation of the finite element method (FEM). The first volume focuses on the use of the method for linear problems. A general procedure is presented for the finite element analysis (FEA) of a physical problem, where the goal is to specify the values of a field function. First, the strong form of the problem (governing differential equations and boundary conditions) is formulated. Subsequently, a weak form of the governing equations is established. Finally, a finite element approximation is introduced, transforming the weak form into a system of equations where the only unknowns are nodal values of the field function. The procedure is applied to one-dimensional elasticity and heat conduction, multi-dimensional steady-state scalar field problems (heat conduction, chemical diffusion, flow in porous media), multi-dimensional elasticity and structural mechanics (beams/shells), as well as time-dependent (dynamic) scalar field problems, elastodynamics and structural dynamics. Important concepts for finite element computations, such as isoparametric elements for multi-dimensional analysis and Gaussian quadrature for numerical evaluation of integrals, are presented and explained. Practical aspects of FEA and advanced topics, such as reduced integration procedures, mixed finite elements and verification and validation of the FEM are also discussed. Provides detailed derivations of finite element equations for a variety of problems. Incorporates quantitative examples on one-dimensional and multi-dimensional FEA. Provides an overview of multi-dimensional linear elasticity (definition of stress and strain tensors, coordinate transformation rules, stress-strain relation and material symmetry) before presenting the pertinent FEA procedures. Discusses practical and advanced aspects of FEA, such as treatment of constraints, locking, reduced integration, hourglass control, and multi-field (mixed) formulations. Includes chapters on transient (step-by-step) solution schemes for time-dependent scalar field problems and elastodynamics/structural dynamics. Contains a chapter dedicated to verification and validation for the FEM and another chapter dedicated to solution of linear systems of equations and to introductory notions of parallel computing. Includes appendices with a review of matrix algebra and overview of matrix analysis of discrete systems. Accompanied by a website hosting an open-source finite element program for linear elasticity and heat conduction, together with a user tutorial. Fundamentals of Finite Element Analysis: Linear Finite Element Analysis is an ideal text for undergraduate and graduate students in civil, aerospace and mechanical engineering, finite element software vendors, as well as practicing engineers and anybody with an interest in linear finite element analysis.

Non Linear Finite Element Analysis of Solids and Structures Essentials

Non Linear Finite Element Analysis of Solids and Structures  Essentials Book
Author : M. A. Crisfield
Publisher : John Wiley & Sons Incorporated
Release : 1991-08-15
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

This volume builds on the ideas of geometric non-linearity explained in Volume One. Continuum mechanics, plasticity and stability theory are covered in greater depth as it explores the research on non-linear finite elements. A supplementary set of programmes is available on the.

Finite Element Methods with Programming and Ansys

Finite Element Methods with Programming and Ansys Book
Author : Meung Kim
Publisher : Lulu.com
Release : 2013-03-07
ISBN : 130077715X
Language : En, Es, Fr & De

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Book Description :

The book introduces the finite element method (FEM) that is one of the most powerful numerical tools these days. FEM is the analysis tool in most of CAD/CAM systems and it is critical to understand FEM for engineering design. It begins with underlying variational calculus and moves to variational/FEM formulations. It covers all basic procedures of assembly and solution procedures in several programming practices. Finally, it introduecs Ansys and Ansys WB software to apply FEM to advanced topics in various areas of engineering.

Applied Finite Element Analysis

Applied Finite Element Analysis Book
Author : G. Ramamurty
Publisher : I. K. International Pvt Ltd
Release : 2013-12-30
ISBN : 9380578458
Language : En, Es, Fr & De

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Book Description :

This book is intended for presenting the basic concepts of Finite Element Analysis applied to several engineering applications. Salient Features: 1.Covers several modules of elasticity, heat conduction, eigenvalue and fluid flow analysis which are necessary for a student of Mechanical Engineering. 2.Finite Element formulations have been presented using both global and natural coordinates. It is important for providing smooth transition form formulation in global coordinates to natural coordinates. 3.Special focus has been given to heat conduction problems and fluid flows which are not sufficiently discussed in other textbooks. 4.Important factors affecting the formulation have been included as Miscellaneous Topics. 5.Several examples have been worked out in order to highlight the applications of Finite Element Analysis. New to this Edition: Apart from moderately revising the whole text three new chapters "Dynamic Analysis", "Non-linear Analysis", "Bending of Thin Plates", three appendices and short questions and answers have been added in the present edition to make it more useful.

The Finite Element Method and Applications in Engineering Using ANSYS

The Finite Element Method and Applications in Engineering Using ANSYS   Book
Author : Erdogan Madenci,Ibrahim Guven
Publisher : Springer
Release : 2015-02-10
ISBN : 1489975500
Language : En, Es, Fr & De

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Book Description :

This textbook offers theoretical and practical knowledge of the finite element method. The book equips readers with the skills required to analyze engineering problems using ANSYS®, a commercially available FEA program. Revised and updated, this new edition presents the most current ANSYS® commands and ANSYS® screen shots, as well as modeling steps for each example problem. This self-contained, introductory text minimizes the need for additional reference material by covering both the fundamental topics in finite element methods and advanced topics concerning modeling and analysis. It focuses on the use of ANSYS® through both the Graphics User Interface (GUI) and the ANSYS® Parametric Design Language (APDL). Extensive examples from a range of engineering disciplines are presented in a straightforward, step-by-step fashion. Key topics include: • An introduction to FEM • Fundamentals and analysis capabilities of ANSYS® • Fundamentals of discretization and approximation functions • Modeling techniques and mesh generation in ANSYS® • Weighted residuals and minimum potential energy • Development of macro files • Linear structural analysis • Heat transfer and moisture diffusion • Nonlinear structural problems • Advanced subjects such as submodeling, substructuring, interaction with external files, and modification of ANSYS®-GUI Electronic supplementary material for using ANSYS® can be found at http://link.springer.com/book/10.1007/978-1-4899-7550-8. This convenient online feature, which includes color figures, screen shots and input files for sample problems, allows for regeneration on the reader’s own computer. Students, researchers, and practitioners alike will find this an essential guide to predicting and simulating the physical behavior of complex engineering systems."

Introduction to Finite Element Analysis

Introduction to Finite Element Analysis Book
Author : Barna Szabó,Ivo Babuška
Publisher : John Wiley & Sons
Release : 2011-03-21
ISBN : 1119993482
Language : En, Es, Fr & De

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Book Description :

When using numerical simulation to make a decision, how can its reliability be determined? What are the common pitfalls and mistakes when assessing the trustworthiness of computed information, and how can they be avoided? Whenever numerical simulation is employed in connection with engineering decision-making, there is an implied expectation of reliability: one cannot base decisions on computed information without believing that information is reliable enough to support those decisions. Using mathematical models to show the reliability of computer-generated information is an essential part of any modelling effort. Giving users of finite element analysis (FEA) software an introduction to verification and validation procedures, this book thoroughly covers the fundamentals of assuring reliability in numerical simulation. The renowned authors systematically guide readers through the basic theory and algorithmic structure of the finite element method, using helpful examples and exercises throughout. Delivers the tools needed to have a working knowledge of the finite element method Illustrates the concepts and procedures of verification and validation Explains the process of conceptualization supported by virtual experimentation Describes the convergence characteristics of the h-, p- and hp-methods Covers the hierarchic view of mathematical models and finite element spaces Uses examples and exercises which illustrate the techniques and procedures of quality assurance Ideal for mechanical and structural engineering students, practicing engineers and applied mathematicians Includes parameter-controlled examples of solved problems in a companion website (www.wiley.com/go/szabo)

TEXTBOOK OF FINITE ELEMENT ANALYSIS

TEXTBOOK OF FINITE ELEMENT ANALYSIS Book
Author : P. SESHU
Publisher : PHI Learning Pvt. Ltd.
Release : 2003-01-01
ISBN : 8120323157
Language : En, Es, Fr & De

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Book Description :

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.

Finite Element Analysis for Engineering Design

Finite Element Analysis for Engineering Design Book
Author : Junuthula N. Reddy,C.S. Krishnamoorthy,K.N. Seetharamu
Publisher : Springer
Release : 1988-06-28
ISBN : 9783540194835
Language : En, Es, Fr & De

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Book Description :

From the preface: "The advent of computers has opened new horizons in the field of engineering design. In the realm of analysis for engineering design the finite element method has emerged as a powerful tool for modeling and analysis of solids and structures of complex geometries and variable material properties in many areas of engineering design such as machine components, pressure vessels, nuclear reactors, off-shore structures, steel and concrete buildings, bridges, towers, automobile components, turbine parts, power plant structures, etc. The text-book literature on the finite element method exists at an introductory level through the new and more advanced level of simple applications. Modeling and analysis of practical problems continue to be developed and published in technical journals. Developments are also taking place in the use of artificial intelligence techniques in expert systems to advise the analysts on the choice of the elements, type of analysis, discretization, etc. for solving complicated problems. It is essential to periodically synthesize all the developments on the finite element method and its applications to practical problems of engineering design and also to identify the future areas of research both in the domains of academic research and industrial applications. Keeping this in mind an advanced study institute was organized at Indian Institute of Technology, Madras, India during Aug. 1-10, 1988. This volume contains lecture notes prepared by the invited lecturers attending the Advanced Study Institute. It should serve as a ready reference to researchers and practitioners engaged in the finite-element analysis related to engineering design in several disciplines."

Automation of Finite Element Methods

Automation of Finite Element Methods Book
Author : Jože Korelc,Peter Wriggers
Publisher : Springer
Release : 2016-06-08
ISBN : 3319390058
Language : En, Es, Fr & De

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Book Description :

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.

Finite Elements Using Maple

Finite Elements Using Maple Book
Author : Artur Portela,A. Charafi
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 3642559360
Language : En, Es, Fr & De

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Book Description :

This text provides the reader with a unique insight into the finite element method, along with symbolic programing that fundamentally changes the way applications can be developed. It is an essential tool for undergraduate or early postgraduate courses as well as an excellent reference book for engineers and scientists who want to quickly develop finite-element programs. The use of symbolic computation in Maple system delivers new benefits in the analysis and understanding of the finite element method.

Finite Element Method

Finite Element Method Book
Author : O. C. Zienkiewicz,R. L. Taylor
Publisher : Unknown
Release : 2000-08-01
ISBN : 9780750651608
Language : En, Es, Fr & De

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Book Description :

In the years since the fourth edition of this seminal work was published, active research has developed the Finite Element Method into the pre-eminent tool for the modelling of physical systems. Written by the pre-eminent professors in their fields, this new edition of the Finite Element Method maintains the comprehensive style of the earlier editions and authoritatively incorporates the latest developments of this dynamic field. Expanded to three volumes the book now covers the basis of the method and its application to advanced solid mechanics and also advanced fluid dynamics. Aimed at undergraduate and postgraduate students, and essential as a reference tool for professional engineers, it provides a complete introduction to the method. Volume 1 of The Finite Element Method provides a complete introduction to the method, and is essential reading for undergraduates, postgraduates and professional engineers. Volume 2 concentrates on non-linear solid and structural mechanics and is ideal for postgraduate students and professional engineers working in this discipline. Volume 3 covers the whole range of fluid dynamics and is ideal reading for postgraduate level students and professional engineers working in this discipline. New material on fields that have rapidly altered since the previous edition. A 'must have' reference in this field.

The Essentials of Finite Element Modeling and Adaptive Refinement

The Essentials of Finite Element Modeling and Adaptive Refinement Book
Author : John O. Dow
Publisher : Momentum Press
Release : 2012-07-01
ISBN : 1606503340
Language : En, Es, Fr & De

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Book Description :

Finite Element Analysis is a very popular, computer-based tool that uses a complex system of points called nodes to make a grid called a "mesh. " The mesh contains the material and structural properties that define how the structure will react to certain loading conditions, allowing virtual testing and analysis of stresses or changes applied to the material or component design. This groundbreaking text extends the usefulness of finite element analysis by helping both beginners and advanced users alike. It simplifies, improves, and extends both the finite element method while at the same time advancing adaptive refinement procedures. These improvements are made possible due to a change in notation that embeds knowledge of solid continuum mechanics into the equations used to formulate the stiffness matrices; this allows the modeling characteristics of individual elements to be identified by visual inspection. The ability to visually relate the equations involved in element formulation to the physical process they represent is like having an x-ray of the inner workings of the finite element method; it is similar is to the effect that Graphical User Interfaces or GUI's had on computing. As a result, students at any level of finite element study are provided with an understanding of the capabilities and limitations of this powerful analytic tool. The book presents * A more simplified approach to finite element analysis based on computational continuum mechanics * Physically interpretable notation that identifies a common basis for the finite element and the finite difference methods. * New point-wise error estimators that identify errors in terms of quantities of direct interest in solid mechanics

Nonlinear Finite Element Analysis of Solids and Structures

Nonlinear Finite Element Analysis of Solids and Structures Book
Author : René de Borst,Mike A. Crisfield,Joris J. C. Remmers,Clemens V. Verhoosel
Publisher : John Wiley & Sons
Release : 2012-07-25
ISBN : 1118376013
Language : En, Es, Fr & De

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Book Description :

Built upon the two original books by Mike Crisfield and theirown lecture notes, renowned scientist René de Borst and histeam offer a thoroughly updated yet condensed edition that retainsand builds upon the excellent reputation and appeal amongststudents and engineers alike for which Crisfield's first edition isacclaimed. Together with numerous additions and updates, the new authorshave retained the core content of the original publication, whilebringing an improved focus on new developments and ideas. Thisedition offers the latest insights in non-linear finite elementtechnology, including non-linear solution strategies, computationalplasticity, damage mechanics, time-dependent effects,hyperelasticity and large-strain elasto-plasticity. The authors' integrated and consistent style and unrivalledengineering approach assures this book's unique position within thecomputational mechanics literature. Key features: Combines the two previous volumes into one heavily revised textwith obsolete material removed, an improved layout and updatedreferences and notations Extensive new material on more recent developments incomputational mechanics Easily readable, engineering oriented, with no more details inthe main text than necessary to understand the concepts. Pseudo-code throughout makes the link between theory andalgorithms, and the actual implementation. Accompanied by a website (www.wiley.com/go/deborst) with aPython code, based on the pseudo-code within the book and suitablefor solving small-size problems. Non-linear Finite Element Analysis of Solids and Structures, 2ndEdition is an essential reference for practising engineers andresearchers that can also be used as a text for undergraduate andgraduate students within computational mechanics.

Finite Elements for Analysis and Design

Finite Elements for Analysis and Design Book
Author : J. E. Akin
Publisher : Elsevier
Release : 2014-06-28
ISBN : 008050647X
Language : En, Es, Fr & De

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Book Description :

The finite element method (FEM) is an analysis tool for problem-solving used throughout applied mathematics, engineering, and scientific computing. Finite Elements for Analysis and Design provides a thoroughlyrevised and up-to-date account of this important tool and its numerous applications, with added emphasis on basic theory. Numerous worked examples are included to illustrate the material. Akin clearly explains the FEM, a numerical analysis tool for problem-solving throughout applied mathematics, engineering and scientific computing Basic theory has been added in the book, including worked examples to enable students to understand the concepts Contains coverage of computational topics, including worked examples to enable students to understand concepts Improved coverage of sensitivity analysis and computational fluid dynamics Uses example applications to increase students' understanding Includes a disk with the FORTRAN source for the programs cided in the text

The Finite Element Method in Solid Mechanics

The Finite Element Method in Solid Mechanics Book
Author : Marc Bonnet,Attilio Frangi,Christian Rei
Publisher : Unknown
Release : 2014
ISBN : 9788838674464
Language : En, Es, Fr & De

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Book Description :

Download The Finite Element Method in Solid Mechanics book written by Marc Bonnet,Attilio Frangi,Christian Rei, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Finite Element Method

Finite Element Method Book
Author : Michael R. Gosz
Publisher : CRC Press
Release : 2017-03-27
ISBN : 1351992031
Language : En, Es, Fr & De

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Book Description :

The finite element method (FEM) is the dominant tool for numerical analysis in engineering, yet many engineers apply it without fully understanding all the principles. Learning the method can be challenging, but Mike Gosz has condensed the basic mathematics, concepts, and applications into a simple and easy-to-understand reference. Finite Element Method: Applications in Solids, Structures, and Heat Transfer navigates through linear, linear dynamic, and nonlinear finite elements with an emphasis on building confidence and familiarity with the method, not just the procedures. This book demystifies the assumptions made, the boundary conditions chosen, and whether or not proper failure criteria are used. It reviews the basic math underlying FEM, including matrix algebra, the Taylor series expansion and divergence theorem, vectors, tensors, and mechanics of continuous media. The author discusses applications to problems in solid mechanics, the steady-state heat equation, continuum and structural finite elements, linear transient analysis, small-strain plasticity, and geometrically nonlinear problems. He illustrates the material with 10 case studies, which define the problem, consider appropriate solution strategies, and warn against common pitfalls. Additionally, 35 interactive virtual reality modeling language files are available for download from the CRC Web site. For anyone first studying FEM or for those who simply wish to deepen their understanding, Finite Element Method: Applications in Solids, Structures, and Heat Transfer is the perfect resource.

Finite Element Analysis with Error Estimators

Finite Element Analysis with Error Estimators Book
Author : J. E. Akin
Publisher : Elsevier
Release : 2005-06-22
ISBN : 9780080472751
Language : En, Es, Fr & De

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Book Description :

This key text is written for senior undergraduate and graduate engineering students. It delivers a complete introduction to finite element methods and to automatic adaptation (error estimation) that will enable students to understand and use FEA as a true engineering tool. It has been specifically developed to be accessible to non-mathematics students and provides the only complete text for FEA with error estimators for non-mathematicians. Error estimation is taught on nearly half of all FEM courses for engineers at senior undergraduate and postgraduate level; no other existing textbook for this market covers this topic. The only introductory FEA text with error estimation for students of engineering, scientific computing and applied mathematics Includes source code for creating and proving FEA error estimators