Elasticity

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Springer Science & Business Media, 10.12.2009 - 534 Seiten
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.
 

Ausgewählte Seiten

Inhalt

Introduction
3
Equilibrium and compatibility
25
Plane strain and plane stress
37
Stress function formulation
45
Problems in rectangular coordinates 55
54
End effects
77
Body forces
91
Problems in polar coordinates
109
Preliminary mathematical results
273
Application to elasticity problems
293
Displacement function solutions 321
319
The Boussinesq potentials
333
Thermoelastic displacement potentials
347
Spherical harmonics
377
Cylinders and circular plates
391
Problems in spherical coordinates
405

Calculation of displacements
123
Curved beam problems
135
Wedge problems
149
Singular solutions 363
157
Plane contact problems
171
Forces dislocations and cracks
199
Thermoelasticity
219
Antiplane shear 227
226
Torsion of a prismatic bar
241
Shear of a prismatic bar
259
Axisymmetric torsion
419
The prismatic bar
429
Frictionless contact
449
The boundaryvalue problem
459
The pennyshaped crack
479
The interface crack
487
Variational methods
499
The reciprocal theorem
517
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