Geodesic
Weight minimization of elastic bodies weakly supporting tension. II. Domains with two curved sides
Applications of Mathematics, Tome 37 (1992) no. 4, pp. 289-312
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Extending the results of the previous paper [1], the authors consider elastic bodies with two design variables, i.e. "curved trapezoids" with two curved variable sides. The left side is loaded by a hydrostatic pressure. Approximations of the boundary are defined by cubic Hermite splines and piecewise linear finite elements are used for the displacements. Both existence and some convergence analysis is presented for approximate penalized optimal design problems.
Extending the results of the previous paper [1], the authors consider elastic bodies with two design variables, i.e. "curved trapezoids" with two curved variable sides. The left side is loaded by a hydrostatic pressure. Approximations of the boundary are defined by cubic Hermite splines and piecewise linear finite elements are used for the displacements. Both existence and some convergence analysis is presented for approximate penalized optimal design problems.
DOI : 10.21136/AM.1992.104511
Classification : 65K10, 65N30, 73C99, 73V25, 73k40, 74P10, 74P99, 74S05, 74S30
Keywords: curved trapezoids; penalty method; hydrostatic pressure; cubic Hermite splines; piecewise linear finite elements; existence; convergence; shape optimization; weight minimization; finite elements 
@article{10_21136_AM_1992_104511,
     author = {Hlav\'a\v{c}ek, Ivan and K\v{r}{\'\i}\v{z}ek, Michal},
     title = {Weight minimization of elastic bodies weakly supporting tension. {II.} {Domains} with two curved sides},
     journal = {Applications of Mathematics},
     pages = {289--312},
     year = {1992},
     volume = {37},
     number = {4},
     doi = {10.21136/AM.1992.104511},
     mrnumber = {1180607},
     zbl = {0767.73048},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1992.104511/}
}
TY  - JOUR
AU  - Hlaváček, Ivan
AU  - Křížek, Michal
TI  - Weight minimization of elastic bodies weakly supporting tension. II. Domains with two curved sides
JO  - Applications of Mathematics
PY  - 1992
SP  - 289
EP  - 312
VL  - 37
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1992.104511/
DO  - 10.21136/AM.1992.104511
LA  - en
ID  - 10_21136_AM_1992_104511
ER  - 
%0 Journal Article
%A Hlaváček, Ivan
%A Křížek, Michal
%T Weight minimization of elastic bodies weakly supporting tension. II. Domains with two curved sides
%J Applications of Mathematics
%D 1992
%P 289-312
%V 37
%N 4
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1992.104511/
%R 10.21136/AM.1992.104511
%G en
%F 10_21136_AM_1992_104511
Hlaváček, Ivan; Křížek, Michal. Weight minimization of elastic bodies weakly supporting tension. II. Domains with two curved sides. Applications of Mathematics, Tome 37 (1992) no. 4, pp. 289-312. doi: 10.21136/AM.1992.104511

[1] I. Hlaváček M. Křížek: Weight minimization of elastic bodies weakly supporting tension I. Appl. Math. 37(1992), 201-240. | MR

[2] S. B. Stečkin J. N. Subbotin: Splajny v vyčisliteľnoj matematike. Nauka, Moskva, 1976. | MR

[3] I. Hlaváček: Optimization of the shape of axisymmetric shells. Apl. Mat. 28 (1983), 269-294. | MR

[4] I. Hlaváček: Inequalities of Korn's type, uniform with respect to a class of domains. Apl. Mat. 34 (1989), 105-112. | MR | Zbl

Cité par Sources :