Unilateral dynamic contact of von Kármán plates with singular memory

Igor Bock; Jiří Jarušek

Applications of Mathematics (2007)

  • Volume: 52, Issue: 6, page 515-527
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Bock, Igor, and Jarušek, Jiří. "Unilateral dynamic contact of von Kármán plates with singular memory." Applications of Mathematics 52.6 (2007): 515-527. <http://eudml.org/doc/33306>.

@article{Bock2007,
abstract = {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.},
author = {Bock, Igor, Jarušek, Jiří},
journal = {Applications of Mathematics},
keywords = {von Kármán plate; unilateral dynamic contact; singular memory; existence of solutions; von Kármán plate; unilateral dynamic contact; singular memory; existence of solutions},
language = {eng},
number = {6},
pages = {515-527},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Unilateral dynamic contact of von Kármán plates with singular memory},
url = {http://eudml.org/doc/33306},
volume = {52},
year = {2007},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 6
SP - 515
EP - 527
AB - 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.
LA - eng
KW - von Kármán plate; unilateral dynamic contact; singular memory; existence of solutions; von Kármán plate; unilateral dynamic contact; singular memory; existence of solutions
UR - http://eudml.org/doc/33306
ER -

References

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  1. Unilateral dynamic contact of viscoelastic von Kármán plates, Adv. Math. Sci. Appl. 16 (2006), 175–187. (2006) MR2253231
  2. 10.1016/S0378-4754(02)00095-2, Math. Comput. Simul. 61 (2003), 399–407. (2003) MR1984140DOI10.1016/S0378-4754(02)00095-2
  3. 10.1007/s10492-005-0014-2, Appl. Math. 50 (2005), 203–217. (2005) MR2133727DOI10.1007/s10492-005-0014-2
  4. Les équations de von Kármán, Springer-Verlag, Berlin, 1980. (1980) MR0595326
  5. Unilateral contact problems, Variational Methods and Existence Theorems. Pure and Applied Mathematics No.  270, Chapman & Hall/CRC, Boca Raton-London-New York-Singapore, 2005. (2005) MR2128865
  6. Solvability of unilateral hyperbolic problems involving viscoelasticity via penalization. Proc. of “Conference EQUAM”, Varenna 1992 (R.  Salvi, ed.), SAACM 3 (1993), 129–140. (1993) 
  7. Solvability of the variational inequality for a drum with a memory vibrating in the presence of an obstacle, Boll. Unione Mat. Ital. VII. Ser., A 8 (1994), 113–122. (1994) MR1273193
  8. 10.1016/j.na.2006.05.021, Nonlinear Anal. 67 (2007), 1117–1128. (2007) MR2325366DOI10.1016/j.na.2006.05.021
  9. 10.1002/mma.1670160806, Math. Methods Appl. Sci. 16 (1993), 581–586. (1993) MR1233041DOI10.1002/mma.1670160806
  10. 10.1090/qam/1672191, Q.  Appl. Math. 57 (1999), 181–200. (1999) MR1672191DOI10.1090/qam/1672191
  11. Les méthodes directes en théorie des équations elliptiques, Masson/Academia, Paris/Praha, 1967. (1967) MR0227584
  12. 10.1007/s002110050225, Numer. Math. 74 (1996), 453–477. (1996) MR1414418DOI10.1007/s002110050225

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