Introductory Finite Element Method

Author : Chandrakant S. Desai,Tribikram Kundu
Publisher : CRC Press
Page : 354 pages
File Size : 43,7 Mb
Release : 2017-12-19
Category : Technology & Engineering
ISBN : 9781351990684

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Introductory Finite Element Method by Chandrakant S. Desai,Tribikram Kundu Pdf

Although there are many books on the finite element method (FEM) on the market, very few present its basic formulation in a simple, unified manner. Furthermore, many of the available texts address either only structure-related problems or only fluid or heat-flow problems, and those that explore both do so at an advanced level. Introductory Finite Element Method examines both structural analysis and flow (heat and fluid) applications in a presentation specifically designed for upper-level undergraduate and beginning graduate students, both within and outside of the engineering disciplines. It includes a chapter on variational calculus, clearly presented to show how the functionals for structural analysis and flow problems are formulated. The authors provide both one- and two-dimensional finite element codes and a wide range of examples and exercises. The exercises include some simpler ones to solve by hand calculation-this allows readers to understand the theory and assimilate the details of the steps in formulating computer implementations of the method. Anyone interested in learning to solve boundary value problems numerically deserves a straightforward and practical introduction to the powerful FEM. Its clear, simplified presentation and attention to both flow and structural problems make Introductory Finite Element Method the ideal gateway to using the FEM in a variety of applications.

Author : Nam H. Kim,Bhavani V. Sankar,Ashok V. Kumar
Publisher : John Wiley & Sons
Page : 552 pages
File Size : 44,5 Mb
Release : 2018-05-24
Category : Technology & Engineering
ISBN : 9781119078739

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Introduction to Finite Element Analysis and Design by Nam H. Kim,Bhavani V. Sankar,Ashok V. Kumar Pdf

Introduces the basic concepts of FEM in an easy-to-use format so that students and professionals can use the method efficiently and interpret results properly Finite element method (FEM) is a powerful tool for solving engineering problems both in solid structural mechanics and fluid mechanics. This book presents all of the theoretical aspects of FEM that students of engineering will need. It eliminates overlong math equations in favour of basic concepts, and reviews of the mathematics and mechanics of materials in order to illustrate the concepts of FEM. It introduces these concepts by including examples using six different commercial programs online. The all-new, second edition of Introduction to Finite Element Analysis and Design provides many more exercise problems than the first edition. It includes a significant amount of material in modelling issues by using several practical examples from engineering applications. The book features new coverage of buckling of beams and frames and extends heat transfer analyses from 1D (in the previous edition) to 2D. It also covers 3D solid element and its application, as well as 2D. Additionally, readers will find an increase in coverage of finite element analysis of dynamic problems. There is also a companion website with examples that are concurrent with the most recent version of the commercial programs. Offers elaborate explanations of basic finite element procedures Delivers clear explanations of the capabilities and limitations of finite element analysis Includes application examples and tutorials for commercial finite element software, such as MATLAB, ANSYS, ABAQUS and NASTRAN Provides numerous examples and exercise problems Comes with a complete solution manual and results of several engineering design projects Introduction to Finite Element Analysis and Design, 2nd Edition is an excellent text for junior and senior level undergraduate students and beginning graduate students in mechanical, civil, aerospace, biomedical engineering, industrial engineering and engineering mechanics.

Author : Junuthula Narasimha Reddy
Publisher : Unknown
Page : 766 pages
File Size : 49,8 Mb
Release : 2006
Category : Finite element method
ISBN : 0071244735

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An Introduction to the Finite Element Method by Junuthula Narasimha Reddy Pdf

The book retains its strong conceptual approach, clearly examining the mathematical underpinnings of FEM, and providing a general approach of engineering application areas.Known for its detailed, carefully selected example problems and extensive selection of homework problems, the author has comprehensively covered a wide range of engineering areas making the book approriate for all engineering majors, and underscores the wide range of use FEM has in the professional world

Author : Gang Li
Publisher : Cambridge University Press
Page : 525 pages
File Size : 42,8 Mb
Release : 2020-07-30
Category : Science
ISBN : 9781108471688

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Introduction to the Finite Element Method and Implementation with MATLAB by Gang Li Pdf

An introductory textbook for engineering students, connecting finite element theory with practical application and implementation.

Author : Saad A. Ragab,Hassan E. Fayed
Publisher : CRC Press
Page : 552 pages
File Size : 51,5 Mb
Release : 2018-04-17
Category : Technology & Engineering
ISBN : 9781315405698

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Introduction to Finite Element Analysis for Engineers by Saad A. Ragab,Hassan E. Fayed Pdf

Finite Element Analysis for Engineers introduces FEA as a technique for solving differential equations, and for application to problems in Civil, Mechanical, Aerospace and Biomedical Engineering and Engineering Science & Mechanics. Intended primarily for senior and first-year graduate students, the text is mathematically rigorous, but in line with students' math courses. Organized around classes of differential equations, the text includes MATLAB code for selected examples and problems. Both solid mechanics and thermal/fluid problems are considered. Based on the first author's class-tested notes, the text builds a solid understanding of FEA concepts and modern engineering applications.

Author : Gabriel N. Gatica
Publisher : Springer Science & Business Media
Page : 142 pages
File Size : 45,8 Mb
Release : 2014-01-09
Category : Mathematics
ISBN : 9783319036953

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A Simple Introduction to the Mixed Finite Element Method by Gabriel N. Gatica Pdf

The main purpose of this book is to provide a simple and accessible introduction to the mixed finite element method as a fundamental tool to numerically solve a wide class of boundary value problems arising in physics and engineering sciences. The book is based on material that was taught in corresponding undergraduate and graduate courses at the Universidad de Concepcion, Concepcion, Chile, during the last 7 years. As compared with several other classical books in the subject, the main features of the present one have to do, on one hand, with an attempt of presenting and explaining most of the details in the proofs and in the different applications. In particular several results and aspects of the corresponding analysis that are usually available only in papers or proceedings are included here.

Author : Mohammad Asadzadeh
Publisher : John Wiley & Sons
Page : 352 pages
File Size : 46,6 Mb
Release : 2020-08-27
Category : Mathematics
ISBN : 9781119671664

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An Introduction to the Finite Element Method for Differential Equations by Mohammad Asadzadeh Pdf

Master the finite element method with this masterful and practical volume An Introduction to the Finite Element Method (FEM) for Differential Equations provides readers with a practical and approachable examination of the use of the finite element method in mathematics. Author Mohammad Asadzadeh covers basic FEM theory, both in one-dimensional and higher dimensional cases. The book is filled with concrete strategies and useful methods to simplify its complex mathematical contents. Practically written and carefully detailed, An Introduction to the Finite Element Method covers topics including: An introduction to basic ordinary and partial differential equations The concept of fundamental solutions using Green's function approaches Polynomial approximations and interpolations, quadrature rules, and iterative numerical methods to solve linear systems of equations Higher-dimensional interpolation procedures Stability and convergence analysis of FEM for differential equations This book is ideal for upper-level undergraduate and graduate students in natural science and engineering. It belongs on the shelf of anyone seeking to improve their understanding of differential equations.

Author : Chandrakant S. Desai,John Frederick Abel
Publisher : Unknown
Page : 477 pages
File Size : 44,6 Mb
Release : 1972
Category : Finite element method
ISBN : 0442783361

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Introduction to the Finite Element Method by Chandrakant S. Desai,John Frederick Abel Pdf

Author : Barna Szabó,Ivo Babuška
Publisher : John Wiley & Sons
Page : 337 pages
File Size : 54,8 Mb
Release : 2011-03-21
Category : Technology & Engineering
ISBN : 9781119993483

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Introduction to Finite Element Analysis by Barna Szabó,Ivo Babuška Pdf

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)

Author : Amar Khennane
Publisher : CRC Press
Page : 490 pages
File Size : 47,7 Mb
Release : 2013-06-10
Category : Technology & Engineering
ISBN : 9781466580206

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Introduction to Finite Element Analysis Using MATLAB® and Abaqus by Amar Khennane Pdf

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.

Author : Chandrakant S. Desai,Tribikram Kundu
Publisher : CRC Press
Page : 520 pages
File Size : 53,6 Mb
Release : 2017-12-19
Category : Technology & Engineering
ISBN : 9781482273915

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Introductory Finite Element Method by Chandrakant S. Desai,Tribikram Kundu Pdf

Although there are many books on the finite element method (FEM) on the market, very few present its basic formulation in a simple, unified manner. Furthermore, many of the available texts address either only structure-related problems or only fluid or heat-flow problems, and those that explore both do so at an advanced level. Introductory Finite Element Method examines both structural analysis and flow (heat and fluid) applications in a presentation specifically designed for upper-level undergraduate and beginning graduate students, both within and outside of the engineering disciplines. It includes a chapter on variational calculus, clearly presented to show how the functionals for structural analysis and flow problems are formulated. The authors provide both one- and two-dimensional finite element codes and a wide range of examples and exercises. The exercises include some simpler ones to solve by hand calculation-this allows readers to understand the theory and assimilate the details of the steps in formulating computer implementations of the method. Anyone interested in learning to solve boundary value problems numerically deserves a straightforward and practical introduction to the powerful FEM. Its clear, simplified presentation and attention to both flow and structural problems make Introductory Finite Element Method the ideal gateway to using the FEM in a variety of applications.

Author : Maurice Petyt
Publisher : Cambridge University Press
Page : 584 pages
File Size : 47,9 Mb
Release : 1998-07-30
Category : Mathematics
ISBN : 0521634172

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Introduction to Finite Element Vibration Analysis by Maurice Petyt Pdf

First time paperback of successful mechanical engineering book suitable as a textbook for graduate students in mechanical engineering.

Author : Shen R. Wu,Lei Gu
Publisher : John Wiley & Sons
Page : 352 pages
File Size : 50,9 Mb
Release : 2012-07-30
Category : Mathematics
ISBN : 9781118382073

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Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics by Shen R. Wu,Lei Gu Pdf

A systematic introduction to the theories and formulations of the explicit finite element method As numerical technology continues to grow and evolve with industrial applications, understanding the explicit finite element method has become increasingly important, particularly in the areas of crashworthiness, metal forming, and impact engineering. Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics is the first book to address specifically what is now accepted as the most successful numerical tool for nonlinear transient dynamics. The book aids readers in mastering the explicit finite element method and programming code without requiring extensive background knowledge of the general finite element. The authors present topics relating to the variational principle, numerical procedure, mechanical formulation, and fundamental achievements of the convergence theory. In addition, key topics and techniques are provided in four clearly organized sections: • Fundamentals explores a framework of the explicit finite element method for nonlinear transient dynamics and highlights achievements related to the convergence theory • Element Technology discusses four-node, three-node, eight-node, and two-node element theories • Material Models outlines models of plasticity and other nonlinear materials as well as the mechanics model of ductile damage • Contact and Constraint Conditions covers subjects related to three-dimensional surface contact, with examples solved analytically, as well as discussions on kinematic constraint conditions Throughout the book, vivid figures illustrate the ideas and key features of the explicit finite element method. Examples clearly present results, featuring both theoretical assessments and industrial applications. Introduction to the Explicit Finite Element Method for Nonlinear Transient Dynamics is an ideal book for both engineers who require more theoretical discussions and for theoreticians searching for interesting and challenging research topics. The book also serves as an excellent resource for courses on applied mathematics, applied mechanics, and numerical methods at the graduate level.

Author : A. J. Davies
Publisher : Oxford University Press
Page : 308 pages
File Size : 43,6 Mb
Release : 2011-09-08
Category : Mathematics
ISBN : 9780199609130

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The Finite Element Method by A. J. Davies Pdf

An introduction to the application of the finite element method to the solution of boundary and initial-value problems posed in terms of partial differential equations. Contains worked examples throughout and each chapter has a set of exercises with detailed solutions.

Author : Nam-Ho Kim,Bhavani V. Sankar,Ashok V. Kumar
Publisher : John Wiley & Sons
Page : 565 pages
File Size : 53,8 Mb
Release : 2018-08-20
Category : Technology & Engineering
ISBN : 9781119078722

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Introduction to Finite Element Analysis and Design by Nam-Ho Kim,Bhavani V. Sankar,Ashok V. Kumar Pdf

Introduces the basic concepts of FEM in an easy-to-use format so that students and professionals can use the method efficiently and interpret results properly Finite element method (FEM) is a powerful tool for solving engineering problems both in solid structural mechanics and fluid mechanics. This book presents all of the theoretical aspects of FEM that students of engineering will need. It eliminates overlong math equations in favour of basic concepts, and reviews of the mathematics and mechanics of materials in order to illustrate the concepts of FEM. It introduces these concepts by including examples using six different commercial programs online. The all-new, second edition of Introduction to Finite Element Analysis and Design provides many more exercise problems than the first edition. It includes a significant amount of material in modelling issues by using several practical examples from engineering applications. The book features new coverage of buckling of beams and frames and extends heat transfer analyses from 1D (in the previous edition) to 2D. It also covers 3D solid element and its application, as well as 2D. Additionally, readers will find an increase in coverage of finite element analysis of dynamic problems. There is also a companion website with examples that are concurrent with the most recent version of the commercial programs. Offers elaborate explanations of basic finite element procedures Delivers clear explanations of the capabilities and limitations of finite element analysis Includes application examples and tutorials for commercial finite element software, such as MATLAB, ANSYS, ABAQUS and NASTRAN Provides numerous examples and exercise problems Comes with a complete solution manual and results of several engineering design projects Introduction to Finite Element Analysis and Design, 2nd Edition is an excellent text for junior and senior level undergraduate students and beginning graduate students in mechanical, civil, aerospace, biomedical engineering, industrial engineering and engineering mechanics.