Finite Element Modeling for Stress Analysis,9780471107743

Finite Element Modeling for Stress Analysis

by
Edition: 1st
ISBN13: 9780471107743
ISBN10: 0471107743
Format: Paperback
Pub. Date: 1995-01-18
Publisher(s): Wiley
  • Free Shipping Icon

    Free Shipping On Orders Over $35*

    Your order must be $35 or more to qualify for free economy shipping. Marketplace items, eBooks and apparel do not qualify towards the $35 purchase minimum.
     

List Price: $235.67

Buy New

Usually Ships in 8 - 10 Business Days.
$235.49
Add to Cart

Buy Used

Usually Ships in 24-48 Hours
$176.75
Add to Cart

Rent Textbook

Select for Price
Add to Cart
There was a problem. Please try again later.

eTextbook

We're Sorry
Not Available

Buy from our Marketplace starting at $7.70

How Marketplace Works:

  • This item is offered by an independent seller and not shipped from our warehouse
  • Item details like edition and cover design may differ from our description; see seller's comments before ordering.
  • Sellers much confirm and ship within two business days; otherwise, the order will be cancelled and refunded.
  • Marketplace purchases cannot be returned to eCampus.com. Contact the seller directly for inquiries; if no response within two days, contact customer service.
  • Additional shipping costs apply to Marketplace purchases. Review shipping costs at checkout.

Summary

Oriented toward those who will use finite elements (FE) rather than toward theoreticians and computer programmers. Emphasizes the behavior of FE and how to use the FE method successfully. Includes several examples of FE analysis-each one features a critique of the accuracy of the solutions. Contains end-of-chapter exercises and extensive advice about FE modeling.

Author Biography

Robert D. Cooke received his Ph.D. in Theoretical and Applied Mechancis from the University of Illinois in 1963. Since then he has been at the University of Wisconsin-Madison, where he is now a professor in the Department of Engineering Physics. His interests include stress analysis and finite element methods. In addition to the present book, he is author of Finite Element Modeling for Stress Analysis and Advanced Mechanics of Materials.

Table of Contents

Notation xi
Introduction
1(16)
The Finite Element Method
1(2)
Elements and Nodes
3(3)
Modeling the Problem and Checking Results
6(3)
Discretization and Other Approximations
9(1)
Responsibility of the User
10(2)
Elementary Matrix Algebra
12(5)
Analytical Problems
13(4)
Bars and Beams. Linear Static Analysis
17(24)
Introduction
17(1)
Stiffness Matrix Formulation: Bar Element
18(2)
Stiffness Matrix Formulation: Beam Element
20(5)
Properties of k and K. Avoiding Singularity
25(1)
Mechanical Loads. Stresses
26(4)
Thermal Loads. Stresses
30(3)
An Application
33(8)
Analytical Problems
36(2)
Computational Problems
38(3)
Plane Problems
41(34)
Introduction
41(5)
Constant Strain Triangle (CST)
46(1)
Linear Strain Triangle (LST)
47(1)
Bilinear Quadrilateral (Q4)
48(2)
Quadratic Quadrilateral (Q8)
50(1)
Improved Bilinear Quadrilateral (Q6)
51(3)
Elements with ``Drilling'' d.o.f.
54(1)
Elements of More General Shape
55(1)
Loads
56(3)
Stress Calculation. Other Remarks
59(3)
Comparative Examples
62(1)
An Application
63(12)
Analytical Problems
67(3)
Computational Problems
70(5)
Isoparametric Elements and Solution Techniques
75(30)
Node Numbering and Matrix Sparsity
75(2)
Equation Solving
77(1)
Transformations
78(2)
Isoparametric Elements: Formulation
80(2)
Gauss Quadrature and Isoparametric Elements
82(2)
Choice of Quadrature Rule. Instabilities
84(2)
Stress Calculation and Gauss Points
86(1)
Nature of Finite Element Solution
86(2)
Convergence Requirements. Patch Test
88(1)
Infinite Media and Infinite Elements
89(1)
Substructures
90(2)
Symmetry
92(3)
Constraints
95(10)
Analytical Problems
98(5)
Computational Problems
103(2)
Modeling, Errors, and Accuracy in Linear Analysis
105(40)
Modeling in General
105(1)
Structure Behavior and Element Behavior
106(4)
Element Tests and Element Shapes
110(3)
Test Cases and Pilot Studies
113(1)
Material Properties
114(2)
Loads
116(2)
Connections
118(4)
Boundary Conditions
122(2)
Planning the Analysis
124(2)
Numerical Error: Sources and Detection
126(4)
Common Mistakes
130(1)
Checking the Model
131(2)
Critique of FE Results
133(3)
Stress Concentrations. Submodeling
136(2)
Convergence with Mesh Refinement
138(3)
Error Measures and Adaptivity
141(4)
Solids and Solids of Revolution
145(26)
Introduction
145(4)
Elements for 3D Solids
149(3)
A 3D Application
152(3)
Axisymmetric Solid Elements
155(2)
An Axisymmetric Application
157(4)
Nonaxisymmetric Loads
161(10)
Analytical Problems
164(2)
Computational Problems
166(5)
Plates and Shells
171(34)
Plate Displacements, Strains and Stresses
171(4)
Finite Elements for Plates
175(6)
A Plate Application
181(3)
Shells and Shell Theory
184(2)
Finite Elements for Shells
186(4)
An Axisymmetric Shell Application
190(2)
A General Shell Application
192(13)
Analytical Problems
196(2)
Computational Problems
198(7)
Thermal Analysis
205(22)
Introduction. Some Basic Equations
205(3)
Finite Elements in Thermal Analysis
208(3)
Radiation and Other Nonlinearities
211(1)
Thermal Transients
212(1)
Modeling Considerations
213(2)
An Application
215(12)
Analytical Problems
220(2)
Computational Problems
222(5)
Vibration and Dynamics
227(48)
Introduction
227(1)
Basic Equations. Vibration
227(3)
Mass Matrices
230(2)
Undamped Free Vibration
232(2)
Damping
234(1)
Reduction
235(2)
Model Equations
237(2)
Harmonic Response Analysis
239(2)
Dynamic Response Analysis
241(3)
Response Spectrum Analysis
244(2)
Remarks. Modeling Considerations
246(12)
An Application: Vibration and Harmonic Response
258(3)
An Application: Dynamic Response
261(14)
Analytical Problems
265(3)
Computational Problems
268(7)
Nonlinearity in Stress Analysis
275(34)
Introduction
275(2)
Solution Algorithms. Convergence Criteria
277(3)
Stress Stiffening
280(3)
Geometric Nonlinearity and Buckling
283(3)
Material Nonlinearity
286(3)
Problems of Gaps and Contact
289(3)
Remarks. Modeling Considerations
292(3)
Applications
295(14)
Analytical Problems
299(2)
Computational Problems
301(8)
References 309(6)
Index 315

An electronic version of this book is available through VitalSource.

This book is viewable on PC, Mac, iPhone, iPad, iPod Touch, and most smartphones.

By purchasing, you will be able to view this book online, as well as download it, for the chosen number of days.

Digital License

You are licensing a digital product for a set duration. Durations are set forth in the product description, with "Lifetime" typically meaning five (5) years of online access and permanent download to a supported device. All licenses are non-transferable.

More details can be found here.

A downloadable version of this book is available through the eCampus Reader or compatible Adobe readers.

Applications are available on iOS, Android, PC, Mac, and Windows Mobile platforms.

Please view the compatibility matrix prior to purchase.