| Title:
|
Contact between elastic bodies. III. Dual finite element analysis (English) |
| Author:
|
Haslinger, Jaroslav |
| Author:
|
Hlaváček, Ivan |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
26 |
| Issue:
|
5 |
| Year:
|
1981 |
| Pages:
|
321-344 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
dual finite element analysis |
| Keyword:
|
unilateral contact |
| Keyword:
|
elastic bodies |
| Keyword:
|
apriori bounded contact zone |
| Keyword:
|
terms of stresses |
| Keyword:
|
principle of complementary energy |
| Keyword:
|
approximations |
| Keyword:
|
self-equilibriated triangular block-elements |
| Keyword:
|
$L2$- error estimate |
| MSC:
|
49A29 |
| MSC:
|
49S05 |
| MSC:
|
65N15 |
| MSC:
|
65N30 |
| MSC:
|
73K25 |
| MSC:
|
73T05 |
| MSC:
|
74A55 |
| MSC:
|
74M15 |
| MSC:
|
74S05 |
| MSC:
|
74S30 |
| idZBL:
|
Zbl 0513.73088 |
| idMR:
|
MR0631752 |
| DOI:
|
10.21136/AM.1981.103923 |
| . |
| Date available:
|
2008-05-20T18:17:27Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103923 |
| . |
| Reference:
|
[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. MR 0590487 |
| Reference:
|
[2] Céa J.: Optimisation, théorie et algorithmes.Dunod, Paris 1971. MR 0298892 |
| Reference:
|
[3] Watwood V. B., Hartz B. J.: An equilibrium stress field model for finite element solution of two-dimensional elastostatic problems.Int. J. Solids Structures 4 (1968), 857-873. 10.1016/0020-7683(68)90083-8 |
| Reference:
|
[4] Hlaváček I.: Convergence of an equilibrium finite element model for plane elastostatics.Apl. mat. 24 (1979), 427-457. MR 0547046 |
| Reference:
|
[5] Johnson C., Mercier B.: Some equilibrium finite element methods for two-dimensional elasticity problems.Numer. Math. 30, (1978), 103-116. Zbl 0427.73072, MR 0483904, 10.1007/BF01403910 |
| Reference:
|
[6] Mosco U., Strang G.: One-sided approximations and variational inequalities.Bull. Am. Math. Soc. 80 (1974), 308-312. MR 0331818, 10.1090/S0002-9904-1974-13477-4 |
| Reference:
|
[7] Hlaváček I.: Dual finite element analysis for unilateral boundary value problems.Apl. mat. 22 (1977), 14-51. MR 0426453 |
| Reference:
|
[8] Hlaváček I.: Dual finite element analysis for semi-coercive unilateral boundary value problems.Apl. mat. 23 (1978), 52-71. MR 0480160 |
| . |
