Crack in a solid under Coulomb friction law
Applications of Mathematics, Tome 45 (2000) no. 4, pp. 265-290
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An equilibrium problem for a solid with a crack is considered. We assume that both the Coulomb friction law and a nonpenetration condition hold at the crack faces. The problem is formulated as a quasi-variational inequality. Existence of a solution is proved, and a complete system of boundary conditions fulfilled at the crack surface is obtained in suitable spaces.
DOI :
10.1023/A:1022319428441
Classification :
35J85, 35Q72, 73T05, 74M10, 74M15
Keywords: variational and quasi-variational inequalities; crack; Coulomb friction
Keywords: variational and quasi-variational inequalities; crack; Coulomb friction
@article{10_1023_A_1022319428441,
author = {Kovtunenko, Victor A.},
title = {Crack in a solid under {Coulomb} friction law},
journal = {Applications of Mathematics},
pages = {265--290},
publisher = {mathdoc},
volume = {45},
number = {4},
year = {2000},
doi = {10.1023/A:1022319428441},
mrnumber = {1763172},
zbl = {1058.74064},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1023/A:1022319428441/}
}
TY - JOUR AU - Kovtunenko, Victor A. TI - Crack in a solid under Coulomb friction law JO - Applications of Mathematics PY - 2000 SP - 265 EP - 290 VL - 45 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1023/A:1022319428441/ DO - 10.1023/A:1022319428441 LA - en ID - 10_1023_A_1022319428441 ER -
Kovtunenko, Victor A. Crack in a solid under Coulomb friction law. Applications of Mathematics, Tome 45 (2000) no. 4, pp. 265-290. doi: 10.1023/A:1022319428441
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