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Weyl Geometry and the Nonlinear Mechanics of Distributed Point Defects

Abstract:

In this paper we obtain the residual stress field of a nonlinear elastic solid with a spherically-symmetric distribution of point defects. The material manifold of a solid with distributed point defects – where the body is stressfree – is a flat Weyl manifold, i.e. a manifold with an affine connection that has non-metricity but both its torsion and curvature tensors vanish. Given a spherically-symmetric point defect distribution, we construct its Weyl material manifold using Cartan’s moving f...

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Publication date:
2012-01-01
UUID:
uuid:e97b51ad-b83f-4d4d-bb6a-f7bafdee8231
Local pid:
oai:eprints.maths.ox.ac.uk:1493
Deposit date:
2012-03-03

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