17 research outputs found
On the comparison of material interpolation schemes and optimal composite properties in plane shape optimization
Full text linkA stress-based formulation of the free material design problem with the trace constraint and multiple load conditions
Get PDFStable optimal design of two-dimensional elastic structures
No full textWe study optimal layout of piece-wise periodic structures of linearly elastic materials. The effective tensors of these structures are constant within pre-specified regions, the optimality is understood as the minimum of complementary energy. The suggested formulation leads to a construction that is stable under variation of the loading and which does not degenerates into checkerboard type structures. We derive necessary conditions of optimality of such layouts and analyze them. Numerically, we find optimal structures for a number of examples, which are analyzed
Effective conductivity of composite materials with random positions of cylindrical inclusions: finite number inclusions in the cell
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