• Medientyp: E-Artikel
  • Titel: A vibrating thermoelastic plate in a contact with an obstacle
  • Beteiligte: Bock, Igor; Jarušek, Jiří
  • Erschienen: Walter de Gruyter GmbH, 2015
  • Erschienen in: Tatra Mountains Mathematical Publications
  • Sprache: Nicht zu entscheiden
  • DOI: 10.1515/tmmp-2015-0019
  • ISSN: 1210-3195
  • Schlagwörter: General Mathematics
  • Entstehung:
  • Anmerkungen:
  • Beschreibung: <jats:title>Abstract</jats:title> <jats:p> We deal with a dynamic contact problem for a thermoelastic plate vibrating against a rigid obstacle. Dynamics is described by a hyperbolic variational inequality for deflections. The plate is subjected to a perpendicular force and to a heat source. The parabolic equation for the 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.</jats:p>
  • Zugangsstatus: Freier Zugang