Abstract
This paper treats viscoelastic interface problems for unidirectionally reinforced fiber composite materials. The analytical solutions of the effective axial shear modulus and the creep compliance of cylindrical fiber composites are obtained by using several typical models of linear viscoelastic behavior for the cases that shearing stress occurs at a circular viscoelastic interface under venous forces such as tensile force, bending, torsion and so on.
It is assumed that the behavior of linear viscoelastic interface can be expressed by Kelvin, Standard and Burgers models. Then, the constitutve equation of fiber composites is formulated and its analytical results are obtained by the correspondence principle between elasticity and linear viscoelasticity.
It is proved that the results by Standard, Maxwell and Kelvin models are reduced from the Burgers model with specialized mechanical coefficients. The effects of the interface thickness on the shear modulus and the creep compliance are shown by many graphical representations.