Unilateral dynamic contact of von Kármán plates with singular memory
Applications of Mathematics, Tome 52 (2007) no. 6, pp. 515-527
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The solvability of the contact problem is proved provided the plate is simply supported. The singular memory material is assumed. This makes it possible to get a priori estimates important for the strong convergence of gradients of velocities of solutions to the penalized problem.
DOI :
10.1007/s10492-007-0030-5
Classification :
35L85, 74D10, 74K20
Keywords: von Kármán plate; unilateral dynamic contact; singular memory; existence of solutions
Keywords: von Kármán plate; unilateral dynamic contact; singular memory; existence of solutions
@article{10_1007_s10492_007_0030_5,
author = {Bock, Igor and Jaru\v{s}ek, Ji\v{r}{\'\i}},
title = {Unilateral dynamic contact of von {K\'arm\'an} plates with singular memory},
journal = {Applications of Mathematics},
pages = {515--527},
publisher = {mathdoc},
volume = {52},
number = {6},
year = {2007},
doi = {10.1007/s10492-007-0030-5},
mrnumber = {2357578},
zbl = {1164.35447},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-007-0030-5/}
}
TY - JOUR AU - Bock, Igor AU - Jarušek, Jiří TI - Unilateral dynamic contact of von Kármán plates with singular memory JO - Applications of Mathematics PY - 2007 SP - 515 EP - 527 VL - 52 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1007/s10492-007-0030-5/ DO - 10.1007/s10492-007-0030-5 LA - en ID - 10_1007_s10492_007_0030_5 ER -
%0 Journal Article %A Bock, Igor %A Jarušek, Jiří %T Unilateral dynamic contact of von Kármán plates with singular memory %J Applications of Mathematics %D 2007 %P 515-527 %V 52 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.1007/s10492-007-0030-5/ %R 10.1007/s10492-007-0030-5 %G en %F 10_1007_s10492_007_0030_5
Bock, Igor; Jarušek, Jiří. Unilateral dynamic contact of von Kármán plates with singular memory. Applications of Mathematics, Tome 52 (2007) no. 6, pp. 515-527. doi: 10.1007/s10492-007-0030-5
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