Article
MSC:
49Q10,
65K10,
65N30,
73C99,
73V20,
73k40,
74P10,
74P99,
74S05,
74S30 | MR 1157456 | Zbl 0767.73047 | DOI: 10.21136/AM.1992.104504
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Keywords:
existence; masonry dam; hydrostatic pressure; penalty method; convergence; shape optimization; weight minimization; finite elements
existence; masonry dam; hydrostatic pressure; penalty method; convergence; shape optimization; weight minimization; 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 own weight and to the hydrostatic presure. Existence of an optimal shape is proved. Using a penalty method and finite element technique, approximate solutions are proposed and their convergence is analyzed.
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References:
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