On the solutions of a dynamic contact problem for a thermoelastic von Kármán plate
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00459254" target="_blank" >RIV/67985840:_____/16:00459254 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.nonrwa.2016.04.004" target="_blank" >http://dx.doi.org/10.1016/j.nonrwa.2016.04.004</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.nonrwa.2016.04.004" target="_blank" >10.1016/j.nonrwa.2016.04.004</a>
Alternative languages
Result language
angličtina
Original language name
On the solutions of a dynamic contact problem for a thermoelastic von Kármán plate
Original language description
We study a dynamic contact problem for a thermoelastic von Kármán plate vibrating against a rigid obstacle. The plate is subjected to a perpendicular force and to a heat source. The dynamics is described by a hyperbolic variational inequality for deflections. The parabolic equation for a thermal strain resultant contains the time derivative of the deflection. We formulate a weak solution of the system and verify its existence using the penalization method. A detailed analysis of the velocity, acceleration, and reaction force of the solution is given. The singular nature of the dynamic contact makes it necessary to treat the acceleration and contact force as time-dependent measures with nonzero singular parts in the zones of contact. Accordingly, the velocity field over the plate suffers (global) jumps at a countable number of times with natural physical interpretations of the signs of the jumps.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GAP201%2F12%2F0671" target="_blank" >GAP201/12/0671: Variational and numerical analysis in nonsmooth continuum mechanics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Nonlinear Analysis: Real World Applications
ISSN
1468-1218
e-ISSN
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Volume of the periodical
32
Issue of the periodical within the volume
December
Country of publishing house
GB - UNITED KINGDOM
Number of pages
25
Pages from-to
111-135
UT code for WoS article
000380079900008
EID of the result in the Scopus database
2-s2.0-84966376452