Geodesic
Weight minimization of elastic bodies weakly supporting tension. I. Domains with one curved side
Applications of Mathematics, Tome 37 (1992) no. 3, pp. 201-240

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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 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.
DOI : 10.21136/AM.1992.104504
Classification : 49Q10, 65K10, 65N30, 73C99, 73V20, 73k40, 74P10, 74P99, 74S05, 74S30
Keywords: existence; masonry dam; hydrostatic pressure; penalty method; convergence; shape optimization; weight minimization; finite elements 
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     title = {Weight minimization of elastic bodies weakly supporting tension. {I.} {Domains} with one curved side},
     journal = {Applications of Mathematics},
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Hlaváček, Ivan; Křížek, Michal. Weight minimization of elastic bodies weakly supporting tension. I. Domains with one curved side. Applications of Mathematics, Tome 37 (1992) no. 3, pp. 201-240. doi: 10.21136/AM.1992.104504

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