Mathematical Model to Study the Impact Response of a Viscoelastic Auxetic Plate

Abstract:

In the present paper, a mathematical model has been constructed in order to describe the impact response of a linear Kirchhoff-Love plate made of viscoelastic auxetic material possessing fractional viscosity. Auxetic’s Poisson’s ratio is a time-dependent value changing from negative to positive magnitudes with time. In the case of a linear plate, the solution out of the contact domain is found through the Green function, and within the contact zone via the modified Hertz contact theory. Integral equations for the contact force and local indentation have been obtained.

• Periodical: Key Engineering Materials (Volume 799)
• Pages: 205-210
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.799.205
• Online since: April 2019
• Authors: Marina Shitikova*, Yury Rossikhin, Oleg Ajeneza
• Keywords: Fractional Derivative Kelvin-Voigt Model, Impact Response, Viscoelastic Auxetic Plate

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