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Chapter 1 - Introduction
Pages 1-8 - Book chapterAbstract only
Chapter 2 - Mathematical modeling of physical systems
Pages 9-60 - Book chapterAbstract only
Chapter 3 - Integral formulations and variational methods
Pages 61-110 - Book chapterAbstract only
Chapter 4 - Finite element formulation of one-dimensional boundary value problems
Pages 111-139 - Book chapterAbstract only
Chapter 5 - Finite element analysis of planar bars and trusses
Pages 139-186 - Book chapterAbstract only
Chapter 6 - Euler–Bernoulli beam element
Pages 187-210 - Book chapterAbstract only
Chapter 7 - Isoparametric elements for two-dimensional elastic solids
Pages 211-256 - Book chapterAbstract only
Chapter 8 - Rectangular and triangular elements for two-dimensional elastic solids
Pages 257-291 - Book chapterAbstract only
Chapter 9 - Finite element analysis of one-dimensional heat transfer problems
Pages 291-312 - Book chapterAbstract only
Chapter 10 - Heat transfer problems in two-dimensions
Pages 313-342 - Book chapterAbstract only
Chapter 11 - Transient thermal analysis
Pages 343-377 - Book chapterAbstract only
Chapter 12 - Transient analysis of solids and structures
Pages 377-445 - Book chapterNo access
Appendix A - MATLAB
Pages 445-457 - Book chapterNo access
Appendix B - Guidelines for writing a finite element code in MATLAB
Pages 459-473 - Book chapterNo access
Appendix C - Finite element analysis with ANSYS
Pages 475-482 - Book chapterNo access
Appendix D - ANSYS tutorial: beam and bar elements
Pages 483-497 - Book chapterNo access
Appendix E - ANSYS tutorial: two-dimensional linear elastic analysis
Pages 499-501 - Book chapterNo access
Appendix F - ANSYS tutorial: thermomechanical deformation
Pages 503-514 - 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