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Mathematical Modeling the Impact Response of Viscoelastic Plates Made of Auxetic Materials

已浏览:次 文/图: 更新日期:2019年10月24日

20191028日,星期一, 1:30 PM

绣山工程大楼 208



报告人:Prof. Marina V. Shitikova

Voronezh State Technical University, Russia

Abstract

In this lecture, the problem on impact of a rigid spherical impactor upon a linear viscoelastic Kirchhoff-Love plate, made of viscoelastic auxetic material possessing fractional viscosity, has been formulated for the case, when the shear operator is governed by the fractional derivative Kelvin-Voigt model in conjunction with the assumption that the bulk extension-compression operator is assumed to be time-independent. The behavior of Kirchhoff-Love plate, made of viscoelastic auxetic is different from the behavior of the viscoelastic plate lacking auxetic proprerties. This is due to the fact that the auxetic’s Poisson’s ratio is a time-dependent value changing from negative to positive magnitudes with time. The solution out of the contact domain is found via the Green’s function, and within the contact domain via the Hertz theory. Using the algebra of dimensionless Rabotnov’s fractional operators, integral equations for the contact force and the local indention have been obtained.

Dr. Marina V. Shitikova is a Soros Professor of the Department of Structural Mechanics at Voronezh State Technical University in Russia. She received her MEng in Civil Engineering in 1982, a PhD degree in Structural Mechanics in 1987 from Voronezh Civil Engineering Institute, a DSc degree in Solid Mechanics in 1995 from the Institute for Problems in Mechanics, Russian Academy of Sciences. She has published about 300 papers dealing with structural mechanics, vibrations, wave dynamics, and acoustics. Her biography has been included in Who's Who in the World, Who's Who in Science and Technology, 2000 Outstanding Scientists of the 20th Century. She received a Commemorative Medal "1997 Woman of the Year" from the American Biographical Institute. In 1998 she was awarded the Russian President's Fellowship for Outstanding Young Doctors of Sciences. She is a Highly Cited Researcher according to 2016 Web of Science records, being among 1% of most cited researchers in the field of Mechanics.


 
 
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