Abstract
Based upon the method of eigenfunction expansion and Leknitskii’s complex-variable potentials for the generalized plane deformation, the singular stress field near transverse cracks is examined for cross-ply composite laminates under two types of deformation, extension and in-plane shear. The stress singularity for each deformation is obtained from the eigenvalue equation resulting from appropriate near field conditions. It is found that the stress singularity for in-plane shear deformation is much stronger than for extension. To compute the stress intensity, use is made of the asymptotic representation for the stress and displacement field in conjunction with the singular hybrid finite element method. The numerical results are confirmed through comparison to those from other numerical techniques such as the boundary collocation method.
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Im, S., Kim, T.W. Stress field near transverse cracks under extension or in-plane shear in cross-ply composite laminates. KSME Journal 3, 121–129 (1989). https://doi.org/10.1007/BF02953597
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DOI: https://doi.org/10.1007/BF02953597