Determination of the dissipative properties of a modified composite under dynamic pure shear loading along the fibres

Аuthors

Shavelkin D. S.^*, Orekhov A. A.^**

Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

*e-mail: dshavelkin@inbox.ru
**e-mail: a_orekhov@mai.ru

Abstract

The problem of determining the dissipative properties of a modified composite subjected to dynamic pure shear loading along the fibres is addressed. To determine the effective properties of the composite, we employ the procedures of Eshelby’s self‑consistent method. We investigate the effective shear modulus of the composite under the assumption that the unit cell is subjected to pure shear loading conditions. In contrast to the bulk modulus, the shear modulus is determined implicitly, as the system typically involves second‑order nonlinear equations. Based on the conducted research, it is hypothesised that introducing special nanostructures — whiskers — into the viscoelastic layer will simultaneously increase the effective transverse loss modulus.

Keywords:

dissipative properties, modified composite, pure shear, spherical inclusions, whiskers, viscoelastic matrix

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