Variational Methods for Structural Optimization

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How researchers see this paper

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The Theory of Composites (2002, methodology): “Cherkaev (2000) found that there are additional inequalities that the fields must necessarily satisfy.”
A material optimization model to approximate energy bounds for cellular materials under multiload conditions (2003, background): “This situation is studied in detail for rank-N layers in Cherkaev et al. (1998).”
A level-set method for shape optimization (2002, background): “méthode d’optimisation, dite topologique, basée sur la théorie de l’homogénéisation [1], [2], [3], [4], [5], [8] et les références citées.”
Elastic textures for additive fabrication (2015, background): “Much of the literature focuses on identifying microstructures with extremal effective behavior, i.e., with effective elasticity properties at the boundary of the achievable zone for a given class of composites [Allaire 2002; Cherkaev 2000; Milton 2002].”