Basic Theory of Finite Element Method

Yongliang WANG

Published by EDP Sciences 2023

Basic Theory of Finite Element Method

Yongliang WANG

https://doi.org/10.1051/978-2-7598-2939-2

Overview
Contents

About this book

This book is an introduction to the basic theory of the finite element method. In addition, it formulates a scheme for finite element computation of elasticity problems and provides typical computer programs for implementing the finite element method. The basic concepts and key techniques involved in finite element computation are presented to enable readers to quickly grasp the knowledge system of the finite element method. Main contents include: (1) introduction of finite element method; (2) fundamentals of elasticity mechanics; (3) weak form of equivalent integration; (4) elements and shape functions; (5) isoparametric element and numerical integration; (6) finite element computation scheme of elasticity problems; (7) solutions of linear algebraic equations; (8) error estimation and adaptive analysis; (9) programs of finite element method. This book is intended for undergraduate and postgraduate students majoring in engineering mechanics, civil engineering, and mining engineering. It provides also reference for researchers in related fields. To facilitate teaching and learning, this book provides selected homework exercises and programming projects with well-designed solutions. Online course and the source code of the related programs are also available.

Author / Editor information

WANG Yongliang :

Dr. Yongliang Wang is currently an associate professor in the Department of Engineering Mechanics, School of Mechanics and Civil Engineering, State Key Laboratory of Coal Resources and Safe Mining, at China University of Mining and Technology (Beijing), and the head of the group of computational mechanics. He obtained his Ph.D. degree from the Department of Civil Engineering at Tsinghua University in 2014. Dr. Yongliang Wang mainly engaged in the research of high-performance adaptive finite element method, computation and analysis of mine-rock mass damage and fracture, and structural vibration stability. He published four monographs in English, and more than 150 academic papers; furthermore, he obtained more than 50 software copyrights.

Topics

Frontmatter Publicly Available Download PDF	i
Preface Publicly Available Download PDF	v
About the Author Publicly Available Download PDF	vii
Contents Publicly Available Download PDF	ix
CHAPTER 1 Introduction of Finite Element Method Requires Authentication Unlicensed Licensed Download PDF	1
CHAPTER 2 Fundamentals of Elasticity Mechanics Requires Authentication Unlicensed Licensed Download PDF	7
CHAPTER 3 Weak Form of Equivalent Integration Requires Authentication Unlicensed Licensed Download PDF	17
CHAPTER 4 Elements and Shape Functions Requires Authentication Unlicensed Licensed Download PDF	33
CHAPTER 5 Isoparametric Element and Numerical Integration Requires Authentication Unlicensed Licensed Download PDF	59
CHAPTER 6 Finite Element Computation Scheme of Elasticity Problems Requires Authentication Unlicensed Licensed Download PDF	81
CHAPTER 7 Solutions of Linear Algebraic Equations Requires Authentication Unlicensed Licensed Download PDF	101
CHAPTER 8 Error Estimation and Adaptive Analysis Requires Authentication Unlicensed Licensed Download PDF	107
CHAPTER 9 Programs of Finite Element Method Requires Authentication Unlicensed Licensed Download PDF	115
Appendix A. Keyword Index Requires Authentication Unlicensed Licensed Download PDF	165
Appendix B. Matrix Calculation Requires Authentication Unlicensed Licensed Download PDF	169
Appendix C. Summary of Elements and Shape Functions Requires Authentication Unlicensed Licensed Download PDF	175
Appendix D. Gaussian Integration Points and Weights Requires Authentication Unlicensed Licensed Download PDF	179
Appendix E. Exercise Solutions Requires Authentication Unlicensed Licensed Download PDF	189
References Requires Authentication Unlicensed Licensed Download PDF	207

Language: English
Publisher: EDP Sciences
Pages
- Main content: 222

eBook

Published: July 20, 2023
ISBN: 9782759829392