کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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796997 | 1467151 | 2008 | 22 صفحه PDF | دانلود رایگان |
We propose a new approach to topology optimization, based on the use of “single-scale laminates” as structural components. The method is well-founded, because in the high porosity limit these structures achieve maximal stiffness and minimal weight. The method is useful, because the Hooke's law of a single-scale laminate has a simple, explicit formula which scales linearly with weight. And it is interesting, because the selection of relatively simple, manufacturable designs can be addressed using linear or quadratic programming. Our contributions are two-fold: (a) we establish the foundation of this approach, by defining single-scale laminates and giving self-contained proofs of their optimality in the high-porosity limit; and (b) we explore two numerical applications—minimizing weight with a constraint on the Hooke's law, and imposing continuity on a spatially varying microstructure.
Journal: Journal of the Mechanics and Physics of Solids - Volume 56, Issue 3, March 2008, Pages 1043–1064