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

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{10_21136_AM_1995_134275,
     author = {Ko\v{c}andrle, Petr and Rybn{\'\i}\v{c}ek, Petr},
     title = {On numerical solution of weight minimization of elastic bodies weakly supporting tension},
     journal = {Applications of Mathematics},
     pages = {21--31},
     publisher = {mathdoc},
     volume = {40},
     number = {1},
     year = {1995},
     doi = {10.21136/AM.1995.134275},
     mrnumber = {1305646},
     zbl = {0824.73043},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1995.134275/}
}
TY  - JOUR
AU  - Kočandrle, Petr
AU  - Rybníček, Petr
TI  - On numerical solution of weight minimization of elastic bodies weakly supporting tension
JO  - Applications of Mathematics
PY  - 1995
SP  - 21
EP  - 31
VL  - 40
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1995.134275/
DO  - 10.21136/AM.1995.134275
LA  - en
ID  - 10_21136_AM_1995_134275
ER  - 
%0 Journal Article
%A Kočandrle, Petr
%A Rybníček, Petr
%T On numerical solution of weight minimization of elastic bodies weakly supporting tension
%J Applications of Mathematics
%D 1995
%P 21-31
%V 40
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1995.134275/
%R 10.21136/AM.1995.134275
%G en
%F 10_21136_AM_1995_134275
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. http://geodesic.mathdoc.fr/articles/10.21136/AM.1995.134275/

Cité par Sources :