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Bounds for the real and imaginary parts of the dynamic moduli of composite viscoelastic systems

Authors
Journal
Journal of the Mechanics and Physics of Solids
0022-5096
Publisher
Elsevier
Publication Date
Volume
17
Issue
1
Identifiers
DOI: 10.1016/0022-5096(69)90010-6

Abstract

Abstract If a system, consisting of firmly bonded isotropic linearly viscoelastic phases, behaves macroscopically as a homogeneous isotropic material under oscillatory deformation, upper and lower bounds can be set to both the real and imaginary parts of the complex rigidity and bulk moduli of the system. These reduce to the Voigt and Reuss bounds on the elastic moduli when the phases are purely elastic, and to the corresponding bounds on the shear viscosity and bulk viscosity when the phases are purely viscous.

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