The shape of the meridian curve of an elastic body is optimized within a class of Lipschitz functions. Only axisymmetric mixed boundary value problems are considered. Four different cost functionals are used and approximate piecewise linear solutions defined on the basis of a finite element technique. Some convergence and existence results are derived by means of the theory of the appropriate weighted Sobolev spaces.
@article{104350,
author = {Ivan Hlav\'a\v cek},
title = {Shape optimization of elastic axisymmetric bodies},
journal = {Applications of Mathematics},
volume = {34},
year = {1989},
pages = {225-245},
zbl = {0691.73037},
mrnumber = {0996898},
language = {en},
url = {http://dml.mathdoc.fr/item/104350}
}
Hlaváček, Ivan. Shape optimization of elastic axisymmetric bodies. Applications of Mathematics, Tome 34 (1989) pp. 225-245. http://gdmltest.u-ga.fr/item/104350/