000015080 001__ 15080
000015080 005__ 20161115100211.0
000015080 04107 $$aeng
000015080 046__ $$k2016-08-21
000015080 100__ $$aVié, Jean-Léopold
000015080 24500 $$aA second-order method for structural shape optimization with the level-set method

000015080 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015080 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015080 506__ $$arestricted
000015080 520__ $$2eng$$aIn topology optimization, there are two formalisms for computing derivatives : one where the variations of the shape are given by a transformation by a diffeomorphism, and another one where they are described by the flow of a regular vector field. In the level-set approach, a shape is represented by the negative domain of a scalar function, and its variations are performed trough a transport equation, namely the Hamilton-Jacobi equation. The present work focuses on computing derivatives in that context. The knowledge of the second order shape derivatives gives also different indications on numerical aspects, that we illustrate with a few examples at the end.

000015080 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015080 653__ $$a

000015080 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015080 720__ $$aVié, Jean-Léopold
000015080 8560_ $$ffischerc@itam.cas.cz
000015080 8564_ $$s91065$$uhttps://invenio.itam.cas.cz/record/15080/files/TS.MS06-4.03.pdf$$yOriginal version of the author's contribution as presented on CD,  page 372, code TS.MS06-4.03
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000015080 962__ $$r13812
000015080 980__ $$aPAPER