Cover for Finite Element Method

Finite Element Method

Physics and Solution Methods

Book2022

Author:

Sinan Muftu

Finite Element Method

Physics and Solution Methods

Book2022

 

Cover for Finite Element Method

Author:

Sinan Muftu

About the book

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Book description

Finite Element Method: Physics and Solution Methods aims to provide the reader a sound understanding of the physical systems and solution methods to enable effective use of the fin ... read full description

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  2. Book chapterAbstract only

    Chapter 1 - Introduction

    Pages 1-8

  3. Book chapterAbstract only

    Chapter 2 - Mathematical modeling of physical systems

    Pages 9-60

  4. Book chapterAbstract only

    Chapter 3 - Integral formulations and variational methods

    Pages 61-110

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    Chapter 4 - Finite element formulation of one-dimensional boundary value problems

    Pages 111-139

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    Chapter 5 - Finite element analysis of planar bars and trusses

    Pages 139-186

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    Chapter 6 - Euler–Bernoulli beam element

    Pages 187-210

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    Chapter 7 - Isoparametric elements for two-dimensional elastic solids

    Pages 211-256

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    Chapter 8 - Rectangular and triangular elements for two-dimensional elastic solids

    Pages 257-291

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    Chapter 9 - Finite element analysis of one-dimensional heat transfer problems

    Pages 291-312

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    Chapter 10 - Heat transfer problems in two-dimensions

    Pages 313-342

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    Chapter 11 - Transient thermal analysis

    Pages 343-377

  13. Book chapterAbstract only

    Chapter 12 - Transient analysis of solids and structures

    Pages 377-445

  14. Book chapterNo access

    Appendix A - MATLAB

    Pages 445-457

  15. Book chapterNo access

    Appendix B - Guidelines for writing a finite element code in MATLAB

    Pages 459-473

  16. Book chapterNo access

    Appendix C - Finite element analysis with ANSYS

    Pages 475-482

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    Appendix D - ANSYS tutorial: beam and bar elements

    Pages 483-497

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    Appendix E - ANSYS tutorial: two-dimensional linear elastic analysis

    Pages 499-501

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    Appendix F - ANSYS tutorial: thermomechanical deformation

    Pages 503-514

  20. Book chapterNo access

    Index

    Pages 515-519

About the book

Description

Finite Element Method: Physics and Solution Methods aims to provide the reader a sound understanding of the physical systems and solution methods to enable effective use of the finite element method. This book focuses on one- and two-dimensional elasticity and heat transfer problems with detailed derivations of the governing equations. The connections between the classical variational techniques and the finite element method are carefully explained. Following the chapter addressing the classical variational methods, the finite element method is developed as a natural outcome of these methods where the governing partial differential equation is defined over a subsegment (element) of the solution domain. As well as being a guide to thorough and effective use of the finite element method, this book also functions as a reference on theory of elasticity, heat transfer, and mechanics of beams.

Finite Element Method: Physics and Solution Methods aims to provide the reader a sound understanding of the physical systems and solution methods to enable effective use of the finite element method. This book focuses on one- and two-dimensional elasticity and heat transfer problems with detailed derivations of the governing equations. The connections between the classical variational techniques and the finite element method are carefully explained. Following the chapter addressing the classical variational methods, the finite element method is developed as a natural outcome of these methods where the governing partial differential equation is defined over a subsegment (element) of the solution domain. As well as being a guide to thorough and effective use of the finite element method, this book also functions as a reference on theory of elasticity, heat transfer, and mechanics of beams.

Key Features

  • Covers the detailed physics governing the physical systems and the computational methods that provide engineering solutions in one place, encouraging the reader to conduct fully informed finite element analysis
  • Addresses the methodology for modeling heat transfer, elasticity, and structural mechanics problems
  • Extensive worked examples are provided to help the reader to understand how to apply these methods in practice
  • Covers the detailed physics governing the physical systems and the computational methods that provide engineering solutions in one place, encouraging the reader to conduct fully informed finite element analysis
  • Addresses the methodology for modeling heat transfer, elasticity, and structural mechanics problems
  • Extensive worked examples are provided to help the reader to understand how to apply these methods in practice

Details

ISBN

978-0-12-821127-4

Language

English

Published

2022

Copyright

Copyright © 2022 Elsevier Inc. All rights reserved.

Imprint

Academic Press

Authors

Sinan Muftu