Finite Element Method
eBook - ePub

Finite Element Method

Physics and Solution Methods

  1. 540 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Finite Element Method

Physics and Solution Methods

About this book

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. - 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

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Yes, you can access Finite Element Method by Sinan Muftu in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Mechanical Engineering. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Front Matter
  3. Table of Contents
  4. Front Matter
  5. Copyright
  6. Dedication
  7. Contents
  8. Preface
  9. Acknowledgments
  10. List of Illustrations
  11. List of Tables
  12. Chapter 1 : Introduction
  13. Chapter 2 : Mathematical modeling of physical systems
  14. Chapter 3 : Integral formulations and variational methods
  15. Chapter 4 : Finite element formulation of one-dimensional boundary value problems
  16. Chapter 5 : Finite element analysis of planar bars and trusses
  17. Chapter 6 : Euler–Bernoulli beam element
  18. Chapter 7 : Isoparametric elements for two-dimensional elastic solids
  19. Chapter 8 : Rectangular and triangular elements for two-dimensional elastic solids
  20. Chapter 9 : Finite element analysis of one-dimensional heat transfer problems
  21. Chapter 10 : Heat transfer problems in two-dimensions
  22. Chapter 11 : Transient thermal analysis
  23. Chapter 12 : Transient analysis of solids and structures
  24. Appendix A : MATLAB
  25. Appendix B : Guidelines for writing a finite element code in MATLAB
  26. Appendix C : Finite element analysis with ANSYS
  27. Appendix D : ANSYS tutorial: beam and bar elements
  28. Appendix E : ANSYS tutorial: two-dimensional linear elastic analysis
  29. Appendix F : ANSYS tutorial: thermomechanical deformation
  30. Index
  31. A