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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

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

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

  • 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