Zeitschrift für angewandte Mathematik und Physik

, Volume 66, Issue 4, pp 1969–1986 | Cite as

A contact problem for a thermoelastic Timoshenko beam

  • Alessia Berti
  • Jaime E. Muñoz Rivera
  • Maria Grazia Naso
Article

Abstract

In this paper, a dynamic contact problem between a Timoshenko beam and two rigid obstacles is considered. Thermal effects are also taken into account and the contact is modeled using the classical Signorini condition. The global existence in time of solutions is found by considering related penalized problems, proving some a priori estimates and passing to the limit. An exponential decay property is also showed.

Keywords

Timoshenko thermoelastic beam Signorini condition Contact Asymptotic behavior 

Mathematics Subject Classification

74H40 74M15 35B40 

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Copyright information

© Springer Basel 2014

Authors and Affiliations

  • Alessia Berti
    • 1
  • Jaime E. Muñoz Rivera
    • 2
  • Maria Grazia Naso
    • 3
  1. 1.Facoltà di IngegneriaUniversità e-CampusNovedrate (CO)Italy
  2. 2.National Laboratory for Scientific ComputationRio de JaneiroBrazil
  3. 3.Dipartimento di Ingegneria Civile, Architettura, Territorio, Ambiente e di MatematicaUniversità degli Studi di BresciaBresciaItaly

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