Geodesic
On numerical solution of weight minimization of elastic bodies weakly supporting tension
Applications of Mathematics, Tome 40 (1995) no. 1, pp. 21-31

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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.
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.
DOI : 10.21136/AM.1995.134275
Classification : 65K10, 65N30, 73C99, 74B99, 74P99
Keywords: shape optimization; weight minimization; penalty method; masonry-like materials; finite elements 
Kočandrle, Petr; Rybníček, Petr. On numerical solution of weight minimization of elastic bodies weakly supporting tension. Applications of Mathematics, Tome 40 (1995) no. 1, pp. 21-31. doi: 10.21136/AM.1995.134275
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[1] I. Hlaváček, M. Křížek: Weight minimization of elastic bodies weakly supporting tension I. Appl. Math. 37 (1992), 201–240. | MR

[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

[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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