Vol. 4, No. 1, 2009

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ISSN: 1559-3959
Nonuniform interfacial slip in fibrous composites

Xu Wang

Vol. 4 (2009), No. 1, 107–119
Abstract

We consider a solitary circular elastic inclusion bonded to an infinite elastic matrix through a linear viscous interface. Here the viscous interface with vanishing thickness can simulate the Nabarro–Herring or Coble creep of a thin interphase layer between the fiber and the matrix. The interface drag parameter is varied along the interface to reflect the real thickening and thinning of the interphase layer. In particular, we consider a special form of the interface function that yields closed-form solutions in terms of elementary functions under four loading conditions: the matrix is subjected to remote uniform antiplane shearing; a screw dislocation is located in the matrix; a screw dislocation is located inside the inclusion; and uniform eigenstrains are imposed on the inclusion.

Our results show that a nonuniform interface parameter will induce an intrinsically nonuniform stress field inside the inclusion when the matrix is subjected to remote uniform shearing or when uniform eigenstrains are imposed on the inclusion, and will also result in a noncentral image force acting on the screw dislocation. In addition, the nonuniformity of the interface will increase the characteristic time of the composite. More interestingly our results show that there coexist at the same time a transient stable and another transient unstable equilibrium positions for a screw dislocation in the matrix when the viscous interface is extremely nonuniform and when the inclusion is stiffer than the matrix. Also discussed is the overall time-dependent shear modulus of the fibrous composite by using the Mori–Tanaka mean-field method.

Keywords
fibrous composites, creep, interface, nonuniform interface drag parameter
Milestones
Received: 6 October 2008
Revised: 5 February 2009
Accepted: 12 February 2009
Published: 8 April 2009
Authors
Xu Wang
University of Delaware
Center for Composite Materials
202 Composites Manufacturing Science Laboratory
Newark, DE 19716
United States