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Inhomogeneities of Minimum Stress Concentration
Oleh:
Wheeler, Lewis
Jenis:
Article from Journal - ilmiah internasional
Dalam koleksi:
Mathematics and Mechanics of Solids vol. 9 no. 3 (Jun. 2004)
,
page 229–242.
Topik:
elastic
;
inhomogeneity
;
stress
;
isoperimetric
Fulltext:
229MMS93.pdf
(127.04KB)
Isi artikel
The problem of finding the shape of an elastic inhomogeneity that minimizes stress concentration is investigated. A class of ellipsoidal inhomogeneities is identified that serve as minimizers for inclusions which are softer than the matrix. For hard inclusions, strain minimizing ellipsoidal inhomogeneities are described. In both cases, rather simple isoperimetric inequalities are derived.
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