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Riemann-Cartan Geometry of nonlinear dislocation mechanics

Abstract:

We present a geometric theory of nonlinear solids with distributed dislocations. In this theory the material manifold – where the body is stress free – is a Weitzenbock manifold, i.e. a manifold with a flat affine connection with torsion but vanishing non-metricity. Torsion of the material manifold is identified with the dislocation density tensor of nonlinear dislocation mechanics. Using Cartan’s moving frames we construct the material manifold for several examples of bodies with distributed...

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Publication date:
2011-01-01
UUID:
uuid:1f4722d3-29ce-49fe-a1f8-ac206096fd05
Local pid:
oai:eprints.maths.ox.ac.uk:1444
Deposit date:
2011-11-19

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