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Unformatted text preview: EN224: Linear Elasticity Division of Engineering 3.4 Solutions for 3D dislocation loops in an infinite solid. The Kelvin state, together with the reciprocal theorem, provides a neat way to determine fields associated with dislocation loops. First, recall what is meant by a dislocation. We can introduce a dislocation into an elastic solid by cutting it over a surface, and then imposing a uniform displacement across the two sides of the cut. Here b represents the Burgers vector of the dislocation. We can easily visualize dislocations in 2D The same idea works in 3D, as illustrated in the picture. A general dislocation is defined by a line direction and its Burgers vector b. There is more than one sign convention for defining the positive sense of and b : here, we will adopt the following convention. First, choose a positive sense for . Then, to visualize the Burgers vector, choose a point somewhere in the solid and describe a Burgers circuit around the dislocation line in a direction consistent with...
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This note was uploaded on 01/10/2010 for the course EN 224 taught by Professor Allenbower during the Spring '05 term at Brown.
- Spring '05