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Specialize the result obtained in Problem 6 to the case of spherical inclusions of a viscous material in an elastic matrix. Compare the resulting complex modulus with that obtained in Section 8.4 involving elastic inclusions in a viscous matrix.

Problem 6

Obtain the real and imaginary parts of the effective complex shear modulus under dilute suspension conditions involving spherical particles. Take both phases as being viscoelastic, and begin with the corresponding elastic formula (3.18).

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