Unilateral dynamic contact of two viscoelastic beams

Berti, Alessia; Naso, Maria

doi:10.1090/S0033-569X-2011-01237-7

Authors: Alessia Berti and Maria Grazia Naso
Journal: Quart. Appl. Math. 69 (2011), 477-507
MSC (2000): Primary 74H40, 74M15, 35B40
DOI: https://doi.org/10.1090/S0033-569X-2011-01237-7
Published electronically: May 10, 2011
MathSciNet review: 2850742
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Abstract: 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.

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