Mathematical model of the impact response of a linear viscoelastic auxetic plate

The aim of the present paper is to construct a mathematical model describing the impact of a rigid sphere upon a linear Kirchhoff-Love plate, made of viscoelastic auxetic with fractional viscosity. Auxetic's Poisson's ratio is a time-dependent value changing from negative to positive magni...

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Bibliographic Details
Published in:IOP conference series. Materials Science and Engineering 2019-03, Vol.489 (1), p.12001
Main Authors: Ajeneza, O, Rossikhin, Yu A, Shitikova, M V
Format: Article
Language:English
Subjects:
Contact force
Green's functions
Impact response
Indentation
Integral equations
Mathematical analysis
Mathematical models
Poisson's ratio
Time dependence
Viscoelasticity
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Summary:The aim of the present paper is to construct a mathematical model describing the impact of a rigid sphere upon a linear Kirchhoff-Love plate, made of viscoelastic auxetic with 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.
ISSN:1757-8981
1757-899X
1757-899X
DOI:10.1088/1757-899X/489/1/012001