Analysis of a crack approaching a circular hole in cross-ply laminates under biaxial loading |
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Authors: | Seong Kyun Cheong Oh Nam Kwon |
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Affiliation: | (1) Department of Mechanical Engineering, Seoul National Polytechnic University, 172 Gongneung-dong, Nowon-ga, 139-743 Seoul, Korea;(2) Department of Mathematics Education, Ewha Womans University, 11-1 Dachyun-dong, Seoduemun-gu, 120-750 Seoul, Korea |
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Abstract: | The problem of a crack approaching a circular hole in cross-ply laminates under uniaxial and biaxial loading is investigated
in this paper. The effects of material orthotropy, geometry R/d and a/d], and loading conditions on crack tip singularity
are investigated. The stress intensity factors are obtained by the modified mapping collocation method. The present results
for an isotropic infinite plate show good agreement with existing solutions. The results for cross-ply laminates show that
the stress intensity factors strongly depend on material orthotropy, geometry, and loading condition. The stress intensity
factors for cross-ply laminates exist between those for θ=0° and those for θ=90° in the whole range of crack length and decrease
as the percentage of 0° plies increases. In the range of small crack length the stress intensity factors for biaxial tension
are higher than those for uniaxial tension. In the range of large crack length the stress intensity factors for uniaxial tension
are higher than those for biaxial tension. |
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Keywords: | Modified Mapping-Collocation Method Approaching Crack Cross-Ply Laminates Stress Intensity Factor Biaxial Tension Analytic Function Circular Hole |
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