Contact between elastic bodies. III. Dual finite element analysis

Jaroslav Haslinger; Ivan Hlaváček

Aplikace matematiky (1981)

  • Volume: 26, Issue: 5, page 321-344
  • ISSN: 0862-7940

Abstract

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The problem of a unilateral contact between elastic bodies with an apriori bounded contact zone is formulated in terms of stresses via the principle of complementary energy. Approximations are defined by means of self-equilibriated triangular block-elements and an L 2 -error estimate is proven provided the exact solution is regular enough.

How to cite

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Haslinger, Jaroslav, and Hlaváček, Ivan. "Contact between elastic bodies. III. Dual finite element analysis." Aplikace matematiky 26.5 (1981): 321-344. <http://eudml.org/doc/15205>.

@article{Haslinger1981,
abstract = {The problem of a unilateral contact between elastic bodies with an apriori bounded contact zone is formulated in terms of stresses via the principle of complementary energy. Approximations are defined by means of self-equilibriated triangular block-elements and an $L2$-error estimate is proven provided the exact solution is regular enough.},
author = {Haslinger, Jaroslav, Hlaváček, Ivan},
journal = {Aplikace matematiky},
keywords = {dual finite element analysis; unilateral contact; elastic bodies; apriori bounded contact zone; terms of stresses; principle of complementary energy; approximations; self-equilibriated triangular block-elements; $L2$- error estimate; dual finite element analysis; unilateral contact; elastic bodies; apriori bounded contact zone; terms of stresses; principle of complementary energy; approximations; self-equilibriated triangular block-elements; L2- error estimate},
language = {eng},
number = {5},
pages = {321-344},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Contact between elastic bodies. III. Dual finite element analysis},
url = {http://eudml.org/doc/15205},
volume = {26},
year = {1981},
}

TY - JOUR
AU - Haslinger, Jaroslav
AU - Hlaváček, Ivan
TI - Contact between elastic bodies. III. Dual finite element analysis
JO - Aplikace matematiky
PY - 1981
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 26
IS - 5
SP - 321
EP - 344
AB - The problem of a unilateral contact between elastic bodies with an apriori bounded contact zone is formulated in terms of stresses via the principle of complementary energy. Approximations are defined by means of self-equilibriated triangular block-elements and an $L2$-error estimate is proven provided the exact solution is regular enough.
LA - eng
KW - dual finite element analysis; unilateral contact; elastic bodies; apriori bounded contact zone; terms of stresses; principle of complementary energy; approximations; self-equilibriated triangular block-elements; $L2$- error estimate; dual finite element analysis; unilateral contact; elastic bodies; apriori bounded contact zone; terms of stresses; principle of complementary energy; approximations; self-equilibriated triangular block-elements; L2- error estimate
UR - http://eudml.org/doc/15205
ER -

References

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  1. Haslinger J., Hlaváček I., Contact between elastic bodies, I. Continuous problems. Apl. mat. 25 (1980), 324-347. II. Finite element analysis. Apl. mat. 26. (1981), 263-290. (1980) Zbl0449.73117MR0590487
  2. Céa J., Optimisation, théorie et algorithmes, Dunod, Paris 1971. (1971) Zbl0211.17402MR0298892
  3. Watwood V. B., Hartz B. J., 10.1016/0020-7683(68)90083-8, Int. J. Solids Structures 4 (1968), 857-873. (1968) Zbl0164.26201DOI10.1016/0020-7683(68)90083-8
  4. Hlaváček I., Convergence of an equilibrium finite element model for plane elastostatics, Apl. mat. 24 (1979), 427-457. (1979) Zbl0441.73101MR0547046
  5. Johnson C., Mercier B., 10.1007/BF01403910, Numer. Math. 30, (1978), 103-116. (1978) Zbl0427.73072MR0483904DOI10.1007/BF01403910
  6. Mosco U., Strang G., 10.1090/S0002-9904-1974-13477-4, Bull. Am. Math. Soc. 80 (1974), 308-312. (1974) Zbl0278.35026MR0331818DOI10.1090/S0002-9904-1974-13477-4
  7. Hlaváček I., Dual finite element analysis for unilateral boundary value problems, Apl. mat. 22 (1977), 14-51. (1977) Zbl0416.65070MR0426453
  8. Hlaváček I., Dual finite element analysis for semi-coercive unilateral boundary value problems, Apl. mat. 23 (1978), 52-71. (1978) Zbl0407.65048MR0480160

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