Explicit crack problem solutions of unidirectional composites - Elastic stress concentrations
1990; American Institute of Aeronautics and Astronautics; Volume: 28; Issue: 3 Linguagem: Inglês
10.2514/3.10420
ISSN1533-385X
Autores Tópico(s)Numerical methods in engineering
ResumoThis paper examines the stress concentration problems in unidirectional continuous fiber composites due to transverse multifilament failure. 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 fibers 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. b d EA Fn G ^nm h
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