Micromechanical modeling of the effective viscoelastic properties of inhomogeneous materials using fraction-exponential operators

A new analytical approach for micro-mechanical modeling of the effective viscoelastic behavior of a composite material is presented. Fraction-exponential operators are used to describe the viscoelastic properties of the constituents. To construct the corresponding elastic solution, effective field method is used. Effective viscoelastic operators are obtained from the Volterra's elasticity-viscoelasticity correspondence principle. Incompatible deformation that often occurs during the manufacturing process is taken into account. All the formulas are obtained in explicit ready-to-use form.