BOUNDS FOR REAL AND IMAGINARY PARTS OF DYNAMIC MODULI OF COMPOSITE VISCOELASTIC SYSTEMS

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. © 1969.