Cover Image

Lying by approximation : the truth about finite element analysis /

Bibliographic Details
Main Authors: Prantil, Vincent Carl (Author), Gessler, Paul D. (Author), Papadopoulos, Christopher Michael, 1971- (Author)
Format: eBook
Language:English
Published: San Rafael, California (1537 Fourth Street, San Rafael, CA 94901 USA) : Morgan & Claypool, 2013.
Series:Synthesis digital library of engineering and computer science.
Synthesis lectures on engineering ; # 23.
Subjects:
Finite element method.
TECHNOLOGY & ENGINEERING / Engineering (General)
TECHNOLOGY & ENGINEERING / Reference.
computational analysis
engineering mechanics
finite element analysis
finite element method
mathematical modeling
modeling approximation
numerical methods
Electronic books.
Online Access:Connect to the full text of this electronic book
Connect to the full text of this electronic book
Table of Contents:
  • Preface
  • What this book is intended to be
  • Pedagogical approach
  • What this book is not intended to be
  • Outline of book
  • Acknowledgments
  • 1. Guilty until proven innocent
  • 1.1 Guilty until proven innocent
  • 1.2 What a minimal requisite skill set looks like
  • 1.3 The ten most common mistakes
  • 1.4 Man vs. machine
  • 1.5 Putting it together: toward a new FEA pedagogy
  • 2. Let's get started
  • 2.1 Qualitative concepts of mechanics of materials
  • 2.2 The stress tensor
  • 2.3 Idealized structural responses
  • 2.3.1 Axial response
  • 2.3.2 Lateral shear response
  • 2.3.3 Bending response
  • 2.3.4 Torsional response
  • 2.4 What dimension are you in?
  • 2.4.1 The limit of the thin (plane stress and pressure vessels)
  • 2.4.2 The limit of the thick (plane strain)
  • 2.4.3 Analogy of plane stress and plane strain
  • 2.4.4 The limit of the round (axisymmetry)
  • 2.5 St. Venant's principle
  • 2.6 Combined loading
  • 2.7 A closing remark and look ahead
  • 3. Where we begin to go wrong
  • 3.1 Exceptions to the rule
  • 3.2 The lines in the sand
  • 3.2.1 A stepped axial rod
  • 3.2.2 A short, stubby beam
  • 3.2.3 A thick-walled pressure vessel
  • 3.3 Utility of the finite element method
  • 4. It's only a model
  • 4.1 The expectation failure
  • 4.2 Philosophy of mathematical modeling
  • 4.3 The art of approximation
  • 4.4 What are we approximating?
  • 4.5 Lessons learned
  • 5. Wisdom is doing it
  • 5.1 Preliminary analysis
  • 5.2 Pre-processing
  • 5.2.1 The cast of element characters
  • 5.2.2 Good and bad elements
  • 5.2.3 Applying boundary constraints
  • 5.2.4 Applying external loads
  • 5.3 Post-processing
  • 5.4 Further rules to live by in practice
  • 5.5 Solution validation
  • 5.6 Verification
  • Summary
  • Afterword
  • Bibliography
  • Authors' biographies.