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Penny-shaped crack in a fiber-reinforced matrixUsing a slender inclusion model developed earlier, the elastostatic interaction problem between a penny-shaped crack and elastic fibers in an elastic matrix is formulated. For a single set and for multiple sets of fibers oriented perpendicularly to the plane of the crack and distributed symmetrically on concentric circles, the problem was reduced to a system of singular integral equations. Techniques for the regularization and for the numerical solution of the system are outlined. For various fiber geometries numerical examples are given, and distribution of the stress intensity factor along the crack border was obtained. Sample results showing the distribution of the fiber stress and a measure of the fiber-matrix interface shear are also included.
Document ID
19750012410
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Narayanan, T. V. (Lehigh Univ. Bethlehem, PA, United States)
Erdogan, F. (Lehigh Univ. Bethlehem, PA, United States)
Date Acquired
September 3, 2013
Publication Date
October 1, 1974
Subject Category
Composite Materials
Report/Patent Number
NASA-CR-132642
Accession Number
75N20482
Funding Number(s)
CONTRACT_GRANT: NSF GK-42771X
CONTRACT_GRANT: NGR-39-007-011
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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