Shape optimization of elastic axisymmetric bodies

Hlaváček, Ivan. "Shape optimization of elastic axisymmetric bodies." Aplikace matematiky 34.3 (1989): 225-245. <http://eudml.org/doc/15578>.

@article{Hlaváček1989,
abstract = {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.},
author = {Hlaváček, Ivan},
journal = {Aplikace matematiky},
keywords = {shape of the meridian curve; class of Lipschitz functions; axisymmetric mixed boundary value problems; four different cost functionals; approximate piecewise linear solutions; finite element technique; convergence; existence; appropriate weighted Sobolev spaces; axisymmetric elliptic problems; body of revolution; elastic equilibrium; shape of the meridian curve; class of Lipschitz functions; axisymmetric mixed boundary value problems; four different cost functionals; approximate piecewise linear solutions; finite element technique; convergence; existence; appropriate weighted Sobolev spaces; axisymmetric elliptic problems; body of revolution; elastic equilibrium},
language = {eng},
number = {3},
pages = {225-245},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Shape optimization of elastic axisymmetric bodies},
url = {http://eudml.org/doc/15578},
volume = {34},
year = {1989},
}

TY - JOUR
AU - Hlaváček, Ivan
TI - Shape optimization of elastic axisymmetric bodies
JO - Aplikace matematiky
PY - 1989
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 34
IS - 3
SP - 225
EP - 245
AB - 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.
LA - eng
KW - shape of the meridian curve; class of Lipschitz functions; axisymmetric mixed boundary value problems; four different cost functionals; approximate piecewise linear solutions; finite element technique; convergence; existence; appropriate weighted Sobolev spaces; axisymmetric elliptic problems; body of revolution; elastic equilibrium; shape of the meridian curve; class of Lipschitz functions; axisymmetric mixed boundary value problems; four different cost functionals; approximate piecewise linear solutions; finite element technique; convergence; existence; appropriate weighted Sobolev spaces; axisymmetric elliptic problems; body of revolution; elastic equilibrium
UR - http://eudml.org/doc/15578
ER -