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[21155] Artykuł: Topological sensitivity derivative with respect to area, shape and orientation of an elliptic hole in a plateCzasopismo: Structural and Multidisciplinary Optimization Tom: 45, Zeszyt: 2, Strony: 153-169ISSN: 1615-147X Wydawca: SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA Opublikowano: 2012 Autorzy / Redaktorzy / Twórcy
Grupa MNiSW: Publikacja w czasopismach wymienionych w wykazie ministra MNiSzW (część A) Punkty MNiSW: 35 Klasyfikacja Web of Science: Article Pełny tekst DOI Web of Science YADDA/CEON Keywords: Topological sensitivity  Elliptical hole  Plate  Plane crack  Optimal design  |
The topological sensitivity derivative of a functional expressed in terms of displacement, strain or stress fields and boundary tractions is derived for the case of an elliptical hole introduced in the plate. The derivative is specified with respect to the hole area, the length of ellipse axes and their orientation in terms of primary and adjoint state fields. The shape sensitivity derivative for a finite hole can be applied and the topological derivative with respect to the hole area is obtained in the limiting case. The transition to a plane crack occurs for vanishing length of minor axis and the topological derivative with respect to crack length is then derived from the general formulae. The results can be useful in optimal design procedures by selecting positions, shape and orientation of elliptical cutouts.