Korn's inequality uniform with respect to a class of axisymmetric bodies

Ivan Hlaváček

Aplikace matematiky (1989)

  • Volume: 34, Issue: 2, page 146-154
  • ISSN: 0862-7940

Abstract

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The Korn's inequality involves a positive constant, which depends on the domains, in general. We prove that the constants have a positive infimum, if a class of bounded axisymmetric domains and axisymmetric displacement fields are considered.

How to cite

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Hlaváček, Ivan. "Korn's inequality uniform with respect to a class of axisymmetric bodies." Aplikace matematiky 34.2 (1989): 146-154. <http://eudml.org/doc/15571>.

@article{Hlaváček1989,
abstract = {The Korn's inequality involves a positive constant, which depends on the domains, in general. We prove that the constants have a positive infimum, if a class of bounded axisymmetric domains and axisymmetric displacement fields are considered.},
author = {Hlaváček, Ivan},
journal = {Aplikace matematiky},
keywords = {domain optimization; shape optimization; Korn’s inequality; domain optimization; shape optimization; Korn's inequality},
language = {eng},
number = {2},
pages = {146-154},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Korn's inequality uniform with respect to a class of axisymmetric bodies},
url = {http://eudml.org/doc/15571},
volume = {34},
year = {1989},
}

TY - JOUR
AU - Hlaváček, Ivan
TI - Korn's inequality uniform with respect to a class of axisymmetric bodies
JO - Aplikace matematiky
PY - 1989
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 34
IS - 2
SP - 146
EP - 154
AB - The Korn's inequality involves a positive constant, which depends on the domains, in general. We prove that the constants have a positive infimum, if a class of bounded axisymmetric domains and axisymmetric displacement fields are considered.
LA - eng
KW - domain optimization; shape optimization; Korn’s inequality; domain optimization; shape optimization; Korn's inequality
UR - http://eudml.org/doc/15571
ER -

References

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  1. J. Haslinger P. Neittaanmäki T. Tiihonen, Shape optimization of an elastic body in contact based on penalization of the state, Apl. Mat. 31 (1986), 54-77. (1986) MR0836802
  2. I. Hlaváček, Inequalities of Korn's type, uniform with respect to a class of domains, Apl. Mat. Zbl0673.49003
  3. I. Hlaváček, Domain optimization in axisymmetric elliptic boundary value problems by finite elements, Apl. Mat. 33 (1988), 213-244. (1988) MR0944785
  4. J. Nečas I. Hlaváček, Mathematical Theory of Elastic and Elasto-Plastic Bodies: An Introduction, Elsevier, Amsterdam 1981. (1981) MR0600655
  5. I. Hlaváček J. Nečas, 10.1007/BF00249518, Arch. Rational Mech. Anal. 36 (1970), 305-334. (1970) MR0252844DOI10.1007/BF00249518
  6. J. A. Nitsche, 10.1051/m2an/1981150302371, R.A.I.R.O. Anal. numér., 15 (1981), 237-248. (1981) Zbl0467.35019MR0631678DOI10.1051/m2an/1981150302371
  7. T. Tiihonen, On Korn's inequality and shape optimization, Preprint 61, Univ. of Jyväskylä, Dept. of Math., April 1987. (1987) MR0893392

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