Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 194, Issue 1, Pages 363-393Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2003.09.032
Keywords
shape optimization; topology optimization; sensitivity analysis; shape derivative; level-set
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In the context of structural optimization we propose a new numerical method based on a combination of the classical shape derivative and of the level-set method for front propagation. We implement this method in two and three space dimensions for a model of linear or nonlinear elasticity. We consider various objective functions with weight and perimeter constraints. The shape derivative is computed by an adjoint method. The cost of our numerical algorithm is moderate since the shape is captured on a fixed Eulerian mesh. Although this method is not specifically designed for topology optimization, it can easily handle topology changes. However, the resulting optimal shape is strongly dependent on the initial guess. (C) 2003 Elsevier B.V. All rights reserved.
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