Elasticity: Theory, Applications, and Numerics

✍ Scribed by Martin H. Sadd

• Publisher: Elsevier Butterworth–Heinemann
• Year: 2005
• Tongue: English
• Leaves: 464
• Edition: 1
• Category: Library

✦ Synopsis

Although there are several books in print dealing with elasticity, many focus on specialized topics such as mathematical foundations, anisotropic materials, two-dimensional problems, thermoelasticity, non-linear theory, etc. As such they are not appropriate candidates for a general textbook. This book provides a concise and organized presentation and development of general theory of elasticity. Complemented by a Solutions Manual and including MatLab codes and coding, this text is an excellent book teaching guide. - Contains exercises for student engagement as well as the integration and use of MATLAB Software- Provides development of common solution methodologies and a systematic review of analytical solutions useful in applications of engineering interest - Presents applications of contemporary interest

✦ Table of Contents

Cover
......Page 1
Title
......Page 3
Copyright
......Page 4
Preface......Page 5
The Subject
......Page 7
Table of Contents......Page 9
About the Author......Page 12
Part I
Foundations and Elementary Applications......Page 13
1. Mathematical Preliminaries......Page 14
2. Deformation: Displacements and Strains......Page 38
3. Stress and Equilibrium......Page 59
4. Material Behavior—Linear Elastic Solids......Page 79
5. Formulation and Solution Strategies......Page 92
6. Strain Energy and Related Principles......Page 112
7. Two-Dimensional Formulation......Page 132
8. Two-Dimensional Problem Solution......Page 147
9. Extension, Torsion, and Flexure of Elastic Cylinders......Page 208
Part II Advanced Applications......Page 250
10. Complex Variable Methods......Page 251
11. Anisotropic Elasticity......Page 289
12. Thermoelasticity......Page 325
13. Displacement Potentials and Stress Functions......Page 352
14. Micromechanics Applications......Page 375
15. Numerical Finite and Boundary Element Methods......Page 416
Appendix A: Basic Field Equations in Cartesian, Cylindrical, and Spherical Coordinates......Page 440
Appendix B: Transformation of Field Variables Between Cartesian, Cylindrical, and Spherical Components......Page 445
Appendix C: MATLAB Primer......Page 448
Index......Page 460