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) MR0590487
- Céa J., Optimisation, théorie et algorithmes, Dunod, Paris 1971. (1971) MR0298892
- Watwood V. B., Hartz B. J., 10.1016/0020-7683(68)90083-8, Int. J. Solids Structures 4 (1968), 857-873. (1968) DOI10.1016/0020-7683(68)90083-8
- Hlaváček I., Convergence of an equilibrium finite element model for plane elastostatics, Apl. mat. 24 (1979), 427-457. (1979) MR0547046
- 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) MR0331818DOI10.1090/S0002-9904-1974-13477-4
- Hlaváček I., Dual finite element analysis for unilateral boundary value problems, Apl. mat. 22 (1977), 14-51. (1977) MR0426453
- Hlaváček I., Dual finite element analysis for semi-coercive unilateral boundary value problems, Apl. mat. 23 (1978), 52-71. (1978) MR0480160
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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