Solvability of a dynamic rational contact with limited interpenetration for viscoelastic plates

Jiří Jarušek

Applications of Mathematics (2020)

  • Volume: 65, Issue: 1, page 43-65
  • ISSN: 0862-7940

Abstract

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Solvability of the rational contact with limited interpenetration of different kind of viscolastic plates is proved. The biharmonic plates, von Kármán plates, Reissner-Mindlin plates, and full von Kármán systems are treated. The viscoelasticity can have the classical (``short memory'') form or the form of a certain singular memory. For all models some convergence of the solutions to the solutions of the Signorini contact is proved provided the thickness of the interpenetration tends to zero.

How to cite

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Jarušek, Jiří. "Solvability of a dynamic rational contact with limited interpenetration for viscoelastic plates." Applications of Mathematics 65.1 (2020): 43-65. <http://eudml.org/doc/295032>.

@article{Jarušek2020,
abstract = {Solvability of the rational contact with limited interpenetration of different kind of viscolastic plates is proved. The biharmonic plates, von Kármán plates, Reissner-Mindlin plates, and full von Kármán systems are treated. The viscoelasticity can have the classical (``short memory'') form or the form of a certain singular memory. For all models some convergence of the solutions to the solutions of the Signorini contact is proved provided the thickness of the interpenetration tends to zero.},
author = {Jarušek, Jiří},
journal = {Applications of Mathematics},
keywords = {dynamic contact problem; limited interpenetration; viscoelastic plate; existence of solution},
language = {eng},
number = {1},
pages = {43-65},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Solvability of a dynamic rational contact with limited interpenetration for viscoelastic plates},
url = {http://eudml.org/doc/295032},
volume = {65},
year = {2020},
}

TY - JOUR
AU - Jarušek, Jiří
TI - Solvability of a dynamic rational contact with limited interpenetration for viscoelastic plates
JO - Applications of Mathematics
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 65
IS - 1
SP - 43
EP - 65
AB - Solvability of the rational contact with limited interpenetration of different kind of viscolastic plates is proved. The biharmonic plates, von Kármán plates, Reissner-Mindlin plates, and full von Kármán systems are treated. The viscoelasticity can have the classical (``short memory'') form or the form of a certain singular memory. For all models some convergence of the solutions to the solutions of the Signorini contact is proved provided the thickness of the interpenetration tends to zero.
LA - eng
KW - dynamic contact problem; limited interpenetration; viscoelastic plate; existence of solution
UR - http://eudml.org/doc/295032
ER -

References

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