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Journal of Engineering Mathematics
Published in: Journal of Engineering Mathematics 1/2015

13-03-2015

Bridged defects in continuously and discretely reinforced solids

Author: A. P. S. Selvadurai

Published in: Journal of Engineering Mathematics | Issue 1/2015

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Abstract

The paper examines problems that relate to defects in elastic solids that are reinforced by aligned fibres. The category of problems deals with flaw bridging that can occur as a result of continuity of fibres across the defect in the matrix region. The defects can be a flaw of finite dimensions or cracks in the conventional sense. The presence of fibre continuity across a flaw exerts a displacement-dependent boundary condition at the faces of the crack that can alter the stress state at the boundary of the defect and contribute to fracture generation. The analysis of both a spheroidal flaw with fibre bridging and an idealized penny-shaped crack with fibre continuity across the faces of the crack leads to the conclusion that the stress amplification usually associated with extension of the flaw is suppressed by the fibre continuity. The second type of problem deals with the mechanics of flaws that can emanate from the extremities of an isolated cylindrical fibre in an elastic matrix of infinite extent. The problem is examined using a computational approach based on the boundary integral equation technique. The modelling is used to examine the role of the fibre–matrix elasticity mismatch on the stress intensity factors at the tip of penny-shaped cracks emanating from the ends of the fibre.
previous article Azimuthal shear of doubly fibre-reinforced, non-linearly elastic cylindrical tubes

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Appendix
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Metadata
Title
Bridged defects in continuously and discretely reinforced solids
Author
A. P. S. Selvadurai
Publication date
13-03-2015
Publisher
Springer Netherlands
Published in
Journal of Engineering Mathematics / Issue 1/2015
Print ISSN: 0022-0833
Electronic ISSN: 1573-2703
DOI
https://doi.org/10.1007/s10665-014-9779-1

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