shape optimization; weight minimization; penalty method; masonry-like materials; finite elements
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.
 I. Hlaváček, M. Křížek: Weight minimization of elastic bodies weakly supporting tension I
. Appl. Math. 37 (1992), 201–240. MR 1157456
 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
 P. Kočandrle, P. Rybníček: Shape optimization of the body free boundary. Research Report no. 102 07 92, University of West Bohemia, 1992, in Czech.