Weight minimization of elastic bodies weakly supporting tension. I. Domains with one curved side
Hlaváček, Ivan ; Křížek, Michal
Applications of Mathematics, Tome 37 (1992), p. 201-240 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1992-01-01
Classification:  49Q10,  65K10,  65N30,  73C99,  73V20,  73k40,  74P10,  74P99,  74S05,  74S30 
@article{104504,
     author = {Ivan Hlav\'a\v cek and Michal K\v r\'\i \v zek},
     title = {Weight minimization of elastic bodies weakly supporting tension. I. Domains with one curved side},
     journal = {Applications of Mathematics},
     volume = {37},
     year = {1992},
     pages = {201-240},
     zbl = {0767.73047},
     mrnumber = {1157456},
     language = {en},
     url = {http://dml.mathdoc.fr/item/104504}
}

Hlaváček, Ivan; Křížek, Michal. Weight minimization of elastic bodies weakly supporting tension. I. Domains with one curved side. Applications of Mathematics, Tome 37 (1992) pp. 201-240. http://gdmltest.u-ga.fr/item/104504/

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