UNILATERAL DYNAMIC CONTACT OF TWO VISCOELASTIC BEAMS

作者:Berti Alessia*; Naso Maria Grazia
来源:Quarterly of Applied Mathematics, 2011, 69(3): 477-507.
DOI:10.1090/S0033-569X-2011-01237-7

摘要

This work is focused on a dynamic unilateral contact problem between two viscoelastic beams. Global-in-time existence of weak solutions describing the dynamics of the system is established. In addition, asymptotic longtime behavior of weak solutions is discussed: it is shown that the energy solutions decay exponentially to zero under suitable decay properties of the memory kernels.

  • 出版日期2011-9