THE 3-D DEFORMATION-BEHAVIOR OF A LUBRICATED FIBER BUNDLE

The purpose of this paper is to describe the response of an aligned, lubricated fiber bundle to a general state of three-dimensional stress. Such an element can be used to represent an advanced composite during manufacturing. In general, this bundle can deform by both viscous shearing, and by "cylindrical" modes of elastic dilation. For a transversely isotropic bundle we show that there are five material functions needed to describe the constitutive behavior of the bundle, namely; 2 viscous functions, and 3 elastic functions. We first outline the viscous responses, and then derive functional relationships and compliances to describe the elastic behavior of the bundle. The application of this model to practical problems such as filament winding, prepregging, consolidation and fiber waviness are discussed.