Finite Element Analysis

Method, Verification and Validation

Barna Szabó, Ivo Babuška

• Publisher: Wiley
• Year: 2021
• Print ISBN: 9781119426424
• eBook ISBN: 9781119426462
• Edition: 2
• Topic: Technology & Engineering
• Subtopic: Mechanical Engineering
• Index: Technology & Engineering

Finite Element Analysis

An updated and comprehensive review of the theoretical foundation of the finite element method

The revised and updated second edition of Finite Element Analysis: Method, Verification, and Validation offers a comprehensive review of the theoretical foundations of the finite element method and highlights the fundamentals of solution verification, validation, and uncertainty quantification. Written by noted experts on the topic, the book covers the theoretical fundamentals as well as the algorithmic structure of the finite element method. The text contains numerous examples and helpful exercises that clearly illustrate the techniques and procedures needed for accurate estimation of the quantities of interest. In addition, the authors describe the technical requirements for the formulation and application of design rules.

Designed as an accessible resource, the book has a companion website that contains a solutions manual, PowerPoint slides for instructors, and a link to finite element software. This important text:

• Offers a comprehensive review of the theoretical foundations of the finite element method
• Puts the focus on the fundamentals of solution verification, validation, and uncertainty quantification
• Presents the techniques and procedures of quality assurance in numerical solutions of mathematical problems
• Contains numerous examples and exercises

Written for students in mechanical and civil engineering, analysts seeking professional certification, and applied mathematicians, Finite Element Analysis: Method, Verification, and Validation, Second Edition includes the tools, concepts, techniques, and procedures that help with an understanding of finite element analysis.

Table of contents

• Cover
• Table of Contents
• Title Page
• Copyright
• Preface to the second edition
• Preface to the first edition
• Preface
• About the companion website
• 1 Introduction to the finite element method
• 2 Boundary value problems
• 3 Implementation
• 4 Pre‐ and postprocessing procedures and verification
• 5 Simulation
• 6 Calibration, validation and ranking
• 7 Beams, plates and shells
• 8 Aspects of multiscale models
• 9 Non‐linear models
• Appendix A: Appendix ADefinitionsDefinitions
• Appendix B: Appendix BProof of h‐convergenceProof of h‐convergence
• Appendix C: Appendix CConvergence in 3D: Empirical resultsConvergence in 3D: Empirical results
• Appendix D: Appendix DLegendre polynomialsLegendre polynomials
• Appendix E: Appendix ENumerical quadratureNumerical quadrature
• Appendix F: Appendix FPolynomial mapping functionsPolynomial mapping functions
• Appendix G: Appendix GCorner singularities in two‐dimensional elasticityCorner singularities in two‐dimensional elasticity
• Appendix H: Appendix HComputation of stress intensity factorsComputation of stress intensity factors
• Appendix I: Appendix IFundamentals of data analysisFundamentals of data analysis
• Appendix J: Appendix JEstimation of fastener forces in structural connectionsEstimation of fastener forces in structural connections
• Appendix K: Appendix KUseful algorithms in solid mechanicsUseful algorithms in solid mechanics
• Bibliography
• Index
• End User License Agreement