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Lying by approximation : : the truth about finite element analysis /

By: Prantil, Vincent Carl [author.].
Contributor(s): Papadopoulos, Christopher Michael 1971-, [author.] | Gessler, Paul D [author.].
Material type: materialTypeLabelBookSeries: Synthesis digital library of engineering and computer science: ; Synthesis lectures on engineering: # 23.Publisher: San Rafael, California (1537 Fourth Street, San Rafael, CA 94901 USA) : Morgan & Claypool, 2013.Description: 1 PDF (xix, 92 pages) : illustrations.Content type: text Media type: electronic Carrier type: online resourceISBN: 9781627052368.Subject(s): Finite element method | finite element method | finite element analysis | numerical methods | computational analysis | engineering mechanics | mathematical modeling | modeling approximationDDC classification: 620.00151535 Online resources: Abstract with links to resource | Abstract with links to full text Also available in print.
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.
Abstract: In teaching an introduction to the finite element method at the undergraduate level, a prudent mix of theory and applications is often sought. In many cases, analysts use the finite element method to perform parametric studies on potential designs to size parts, weed out less desirable design scenarios, and predict system behavior under load. In this book, we discuss common pit- falls encountered by many finite element analysts, in particular, students encountering the method for the first time. We present a variety of simple problems in axial, bending, torsion, and shear loading that combine the students' knowledge of theoretical mechanics, numerical methods, and approximations particular to the finite element method itself. We also present case studies in which analyses are coupled with experiments to emphasize validation, illustrate where interpretations of numerical results can be misleading, and what can be done to allay such tendencies. Challenges in presenting the necessary mix of theory and applications in a typical undergraduate course are discussed. We also discuss a list of tips and rules of thumb for applying the method in practice.
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Item type Current location Call number Status Date due Barcode Item holds
E books E books PK Kelkar Library, IIT Kanpur
Available EBKE518
Total holds: 0

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

Part of: Synthesis digital library of engineering and computer science.

Series from website.

Includes bibliographical references (pages 87-90).

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.

Abstract freely available; full-text restricted to subscribers or individual document purchasers.

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In teaching an introduction to the finite element method at the undergraduate level, a prudent mix of theory and applications is often sought. In many cases, analysts use the finite element method to perform parametric studies on potential designs to size parts, weed out less desirable design scenarios, and predict system behavior under load. In this book, we discuss common pit- falls encountered by many finite element analysts, in particular, students encountering the method for the first time. We present a variety of simple problems in axial, bending, torsion, and shear loading that combine the students' knowledge of theoretical mechanics, numerical methods, and approximations particular to the finite element method itself. We also present case studies in which analyses are coupled with experiments to emphasize validation, illustrate where interpretations of numerical results can be misleading, and what can be done to allay such tendencies. Challenges in presenting the necessary mix of theory and applications in a typical undergraduate course are discussed. We also discuss a list of tips and rules of thumb for applying the method in practice.

Also available in print.

Title from PDF title page (viewed on September 18, 2013).

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