The Determination of Complex Shear Modulus of Deionized Water Using Kramer-Kronig Relation (Kkr) Method

Abstract

Complex Shear Modulus (CSM) contains fruitful information about mechanical properties,especially in microrheologystudies. CSM calculation depends onComplex Response Function (CRF) of an object motion. The aim of this paper is to provide guidance on the determination of the CSM by using Kramer-Kronig Relation (KKR) method. The procedure takes advantage of Brownian Motion (BM) of a micron-sized polystyrene in water. The BM occurs when the particle were responseto the thermal force in fluids medium. We use Laplace Transform(LT) algorithm to analyze the BMand to find CRF and CSM.The result will be displayedas Radial Frequencies Function.