Explicit crack problem solutions of unidirectional composites - Elastic stress concentrations

The stress concentration problems in unidirectional continuous fiber composites due to transverse multifilament failure are examined. The loading conditions are considered: uniform load at infinity and concentrated force dipole on the crack plane. The boundary value problems are formulated based upo...

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Bibliographic Details
Published in:AIAA journal 1990-03, Vol.28 (3), p.499-505
Main Authors: Hikami, Fuminori, Chou, Tsu-Wei
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
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Summary:The stress concentration problems in unidirectional continuous fiber composites due to transverse multifilament failure are examined. The loading conditions are considered: uniform load at infinity and concentrated force dipole on the crack plane. The boundary value problems are formulated based upon a two-dimensional elastic shear-lag model. The present theory is unique in that the general solution for the multifilament failure problem is obtained explicitly using the Legendre polynomials and that the stress concentration factors in all fibres on the crack plane are given in closed forms. The present analysis also provides rigorous proofs of Hedgepeth's inspection on the tensile stress concentration factor and Fichter's inspection on the shear stress concentration factor at the tip of a notch. Graphs. 17 ref.--AA
ISSN:0001-1452
1533-385X
DOI:10.2514/3.10420