Dual finite element analysis for contact problem of elastic bodies with an enlarging contact zone

Van Bon Tran

Aplikace matematiky (1986)

  • Volume: 31, Issue: 5, page 345-364
  • ISSN: 0862-7940

Abstract

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Dual finite element analysis of the contact problem of two elastic bodies with an enlarging contact zone is presented. Approximations of the solution are defined on two types of triangulations by piecewise constant stress fields. Convergence is proved in both cases.

How to cite

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Tran, Van Bon. "Dual finite element analysis for contact problem of elastic bodies with an enlarging contact zone." Aplikace matematiky 31.5 (1986): 345-364. <http://eudml.org/doc/15460>.

@article{Tran1986,
abstract = {Dual finite element analysis of the contact problem of two elastic bodies with an enlarging contact zone is presented. Approximations of the solution are defined on two types of triangulations by piecewise constant stress fields. Convergence is proved in both cases.},
author = {Tran, Van Bon},
journal = {Aplikace matematiky},
keywords = {dual finite element analysis; enlarging contact zone; without friction; triangulations; piecewise constant stress fields; convergence; dual finite element analysis; enlarging contact zone; without friction; triangulations; piecewise constant stress fields; convergence},
language = {eng},
number = {5},
pages = {345-364},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Dual finite element analysis for contact problem of elastic bodies with an enlarging contact zone},
url = {http://eudml.org/doc/15460},
volume = {31},
year = {1986},
}

TY - JOUR
AU - Tran, Van Bon
TI - Dual finite element analysis for contact problem of elastic bodies with an enlarging contact zone
JO - Aplikace matematiky
PY - 1986
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 31
IS - 5
SP - 345
EP - 364
AB - Dual finite element analysis of the contact problem of two elastic bodies with an enlarging contact zone is presented. Approximations of the solution are defined on two types of triangulations by piecewise constant stress fields. Convergence is proved in both cases.
LA - eng
KW - dual finite element analysis; enlarging contact zone; without friction; triangulations; piecewise constant stress fields; convergence; dual finite element analysis; enlarging contact zone; without friction; triangulations; piecewise constant stress fields; convergence
UR - http://eudml.org/doc/15460
ER -

References

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  1. J. Haslinger I. Hlaváček, Contact between elastic bodies I. Continuous problem, Apl. Mat. 25 (1980), 324-347. (1980) MR0590487
  2. J. Haslinger I. Hlaváček, Contact between elastic bodies II. Finite element analysis, Apl. Mat. 26 (1981), 263 - 290. (1981) MR0623506
  3. J. Haslinger I. Hlaváček, Contact between elastic bodies III. Dual finite element analysis, Apl. Mat. 26 (1981), 321 - 344. (1981) MR0631752
  4. J. Haslinger I. Hlaváček, Contact between elastic perfectly plastic bodies, Apl. Mat. 27 (1982), 27-45. (1982) MR0640138
  5. J. Céa, Optimisation, théorie et algorithmes, Dunod, Paris 1971. (1971) MR0298892
  6. I. Hlaváček M. Křížek, Internal finite element approximations in the dual variational method for second order elliptic problems with curved boundary, Apl. Mat. 29 (1984), 52-69. (1984) MR0729953
  7. J. Nečas, Les méthodes directes en théorie des équations elliptiques, Academia, Praha 1967. (1967) MR0227584

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