# 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

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topHaslinger, 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

top- 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
- Céa J., Optimisation, théorie et algorithmes, Dunod, Paris 1971. (1971) Zbl0211.17402MR0298892
- 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
- Hlaváček I., Convergence of an equilibrium finite element model for plane elastostatics, Apl. mat. 24 (1979), 427-457. (1979) Zbl0441.73101MR0547046
- Johnson C., Mercier B., 10.1007/BF01403910, Numer. Math. 30, (1978), 103-116. (1978) Zbl0427.73072MR0483904DOI10.1007/BF01403910
- 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
- Hlaváček I., Dual finite element analysis for unilateral boundary value problems, Apl. mat. 22 (1977), 14-51. (1977) Zbl0416.65070MR0426453
- Hlaváček I., Dual finite element analysis for semi-coercive unilateral boundary value problems, Apl. mat. 23 (1978), 52-71. (1978) Zbl0407.65048MR0480160

## Citations in EuDML Documents

top- Jaroslav Haslinger, Ivan Hlaváček, Contact between elastic perfectly plastic bodies
- Van Bon Tran, Dual finite element analysis for contact problem of elastic bodies with an enlarging contact zone
- Miroslav Vondrák, Slab analogy in theory and practice of conforming equilibrium stress models for finite element analysis of plane elastostatics

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