Affiliation:
1. Center for Composite Materials and Department of Mechanical Engineering University of Delaware Newark, DE 19716
2. E. I. du Pont de Nemours and Company, Inc. Wilmington, DE 19880
Abstract
A constitutive relation for an equivalent, homogeneous fluid is developed for the anisotropic viscous flow of an oriented assembly of discontinuous fibers suspended in a viscous fluid. The anisotropic viscous compliance matrix can be expressed in terms of three constants by assuming the equivalent fluid to be incompressible and the micro-structure to have axial symmetry (transversely isotropic). By means of a micromechanics analysis, the three terms of the constitutive relation are expressed in terms of the viscosity of the matrix fluid, the fiber aspect ratio, and the fiber volume fraction. A comparison of the viscosity terms reveals that the elongational viscosity in the fiber direction varies as the square of the fiber aspect ratio and a complex function of the fiber volume fraction. Further, the ratio of the axial elongational viscosity to the transverse elongational viscosity and both axial and transverse shear viscosities was shown to be 104-106 for fiber aspect ratio of 102-103, except at extreme values of the fiber volume fraction.
Subject
Materials Chemistry,Mechanical Engineering,Mechanics of Materials,Ceramics and Composites
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