ANTIPLANE SHEAR OF ELASTIC AND VISCOELASTIC FIBER COMPOSITES WITH NONLINEAR INTERFACE

Abstract eng:
Antiplane shear of elastic and viscoelastic composite cylinders containing interfaces whose shear-slip behavior is captured by uniform Needleman-type cohesive zones is analyzed. Previous work on the elastic problem leads to a constitutive framework consisting of a shear stress-shear strain relation depending on the interface slip discontinuity together with an integral equation governing its evolution. Results for the fiber composite follow from the composite cylinders representation of an RVE together with variational bounding. Here, we present an exact single mode solution to the integral equation and utilize it to treat the single mode elastic and viscoelastic problems. For a rigid fiber embedded in a matrix which is a standard solid in shear we find a pair of nonlinear first order differential equations which govern relaxation response through the time dependent shear stress and interface slip magnitude, and creep response through the time dependent shear strain and interface slip magnitude. Graphs of creep and relaxation response are presented for an interface model that allows for shear interface failure.

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