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

International Conference of Young Scientists and Students "Topical Problems of Mechanical Engineering 2018"

Ajeneza, O.^1 ; Rossikhin, Yu A^1 ; Shitikova, M.V.^1

Research Center on Dynamics of Solids and Structures, Voronezh State Technical University, Voronezh, Russia^1

关键词: Contact forces;    Contact zone;    Hertz contact theory;    Impact response;    Kirchhoff-Love plate;    Linear viscoelastic;    Local indentation;    Time dependent;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/489/1/012001/pdf
DOI  :  10.1088/1757-899X/489/1/012001

来源: IOP

【 摘 要 】

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.