Weyl geometry and the nonlinear mechanics of distributed point defects
نویسندگان
چکیده
منابع مشابه
Weyl geometry and the nonlinear mechanics of distributed point defects
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...
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2012
ISSN: 1364-5021,1471-2946
DOI: 10.1098/rspa.2012.0342