Elasticity 3rd Edition by J. R. Barber – Ebook PDF Instant Download/Delivery: 9048138094, 9789048138098
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Product details:
ISBN 10: 9048138094
ISBN 13: 9789048138098
Author: J. R. Barber
The subject of Elasticity can be approached from several points of view, – pending on whether the practitioner is principally interested in the mat- matical structure of the subject or in its use in engineering applications and, in the latter case, whether essentially numerical or analytical methods are envisaged as the solution method. My ?rst introduction to the subject was in response to a need for information about a speci?c problem in Tribology. As a practising Engineer with a background only in elementary Mechanics of – terials, I approached that problem initially using the concepts of concentrated forces and superposition. Today, with a rather more extensive knowledge of analytical techniques in Elasticity, I still ?nd it helpful to go back to these roots in the elementary theory and think through a problem physically as well as mathematically, whenever some new and unexpected feature presents di?culties in research. This way of thinking will be found to permeate this book. My engineering background will also reveal itself in a tendency to work examples through to ?nal expressions for stresses and displacements, rather than leave the derivation at a point where the remaining manipulations would be mathematically routine. The ?rst edition of this book, published in 1992, was based on a one semester graduate course on Linear Elasticity that I have taught at the U- versity of Michigan since 1983.
Table of contents:
Part I
1. Introduction
2. Equilibrium and Compatibility
Part II
3. Plane Strain and Plane Stress
4. Stress Function Formulation
5. Problems in Rectangular Coordinates
6. End Effects
7. Body Forces
8. Problems in Polar Coordinates
9. Calculation of Displacements
10. Curved Beam Problems
11. Wedge Problems
12. Plane Contact Problems
13. Forces, Dislocations, and Cracks
14. Thermoelasticity
15. Antiplane Shear
Part III
16. Torsion of a Prismatic Bar
17. Shear of a Prismatic Bar
Part IV
18. Preliminary Mathematical Results
19. Application to Elasticity Problems
20. Displacement Function Solutions
21. The Boussinesq Potentials
22. Thermoelastic Displacement Potentials
23. Singular Solutions
24. Spherical Harmonics
Part V
25. Cylinders and Circular Plates
26. Problems in Spherical Coordinates
27. Axisymmetric Torsion
28. The Prismatic Bar
29. Frictionless Contact
30. The Boundary Value Problem
31. The Penny-Shaped Crack
32. The Interface Crack
33. Variational Methods
34. The Reciprocal Theorem
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