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Elasticity
book

Elasticity

by Martin H. Sadd
August 2004
Intermediate to advanced content levelIntermediate to advanced
480 pages
12h 35m
English
Academic Press
Content preview from Elasticity
7

Two-Dimensional Formulation

Because of the complexity of the elasticity field equations, analytical closed-form solutions to fully three-dimensional problems are very difficult to accomplish. Thus, most solutions are developed for reduced problems that typically include axisymmetry or two-dimensionality to simplify particular aspects of the formulation and solution. We now wish to examine in detail the formulation of two-dimensional problems in elasticity. Our initial formulation will result in a boundary-value problem cast within a two-dimensional domain in the x,y-plane using Cartesian coordinates. This work will then be reformulated in polar coordinates to allow for the development of important solutions in that coordinate system. Because ...

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Publisher Resources

ISBN: 9780126058116