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Unilateral dynamic contact problem for viscoelastic Reissner-Mindlin plates
Authors:I. Bock,J. Jaru&scaron  ek
Affiliation:
  • a Department of Mathematics, FEI Slovak University of Technology, 812 19 Bratislava 1, Slovak Republic
  • b Mathematical Institute, Academy of Sciences of the Czech Republic, 115 67 Praha 1, Czech Republic
  • Abstract:
    The existence of solutions is proved for systems of dynamic Reissner-Mindlin equations expressing vibrations of viscoelastic plates. We consider the cases of short memory and singular memory material. Contact with the rigid support is considered.
    Keywords:Reissner-Mindlin plate vibrations   Unilateral domain contact   Viscoelastic material   Short memory   Singular memory   Existence of solutions   Penalization of contact conditions
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