Journal article icon

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...

Expand abstract
Publication status:
Published

Actions


Access Document


Publisher copy:
10.1098/rspa.2012.0342

Authors


More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
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
URN:
uuid:15caddaf-e2b1-4349-9ad2-158f196ab6a4
Source identifiers:
357968
Local pid:
pubs:357968

Terms of use


Metrics



If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP