# Shape optimization of elastic axisymmetric bodies

Aplikace matematiky (1989)

- Volume: 34, Issue: 3, page 225-245
- ISSN: 0862-7940

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topHlaváček, 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 -

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