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Keywords:
shape optimization; weight minimization; penalty method; masonry-like materials; finite elements
shape optimization; weight minimization; penalty method; masonry-like materials; finite elements
Summary:
Shape optimization of a two-dimensional elastic body is considered, provided the material is weakly supporting tension. The problem generalizes that of a masonry dam subjected to its weight and to the hydrostatic pressure. A part of the boundary has to be found so as to minimize a given cost functional. The numerical realization using a penalty method and finite element technique is presented. Some typical results are shown.
References:
[1] I. Hlaváček, M. Křížek: Weight minimization of elastic bodies weakly supporting tension I. Appl. Math. 37 (1992), 201–240. MR 1157456
[2] I. Hlaváček, M. Křížek: Weight minimization of elastic bodies weakly supporting tension II. Domains with two curved sides. Appl. Math. 37 (1992), 289–312. MR 1180607
[3] P. Kočandrle, P. Rybníček: Shape optimization of the body free boundary. Research Report no. 102 07 92, University of West Bohemia, 1992, in Czech.
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