Journal article
Weyl geometry and the nonlinear mechanics of distributed point defects
- Abstract:
-
The residual stress field of a nonlinear elastic solid with a spherically symmetric distribution of point defects is obtained explicitly using methods from differential geometry. The material manifold of a solid with distributed point defects-where the body is stress-free-is a flat Weyl manifold, i.e. a manifold with an affine connection that has non-metricity with vanishing traceless part, but both its torsion and curvature tensors vanish. Given a spherically symmetric point defect distribut...
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- Publication status:
- Published
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- Publisher copy:
- 10.1098/rspa.2012.0342
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Bibliographic Details
- Journal:
- PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
- Volume:
- 468
- Issue:
- 2148
- Pages:
- 3902-3922
- Publication date:
- 2012-12-08
- DOI:
- EISSN:
-
1471-2946
- ISSN:
-
1364-5021
- Source identifiers:
-
357968
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
pubs:357968
- UUID:
-
uuid:15caddaf-e2b1-4349-9ad2-158f196ab6a4
- Local pid:
- pubs:357968
- Deposit date:
- 2013-11-16
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- Copyright date:
- 2012
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