Hypersingularities in three-dimensional crack configurations in composite laminates

Three‐dimensional crack configurations in composite laminates are studied by means of the Scaled Boundary Finite Element Method (SBFEM) particularly regarding stress singularities and their associated deformation modes. The SBFEM is an efficient semi‐analytical method that permits solving linear ela...

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Bibliographic Details
Published in:Proceedings in applied mathematics and mechanics 2014-12, Vol.14 (1), p.157-158
Main Authors: Hell, Sascha, Becker, Wilfried
Format: Article
Language:English
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Summary:Three‐dimensional crack configurations in composite laminates are studied by means of the Scaled Boundary Finite Element Method (SBFEM) particularly regarding stress singularities and their associated deformation modes. The SBFEM is an efficient semi‐analytical method that permits solving linear elastic mechanical problems. Only the boundary needs to be discretized while the problem is considered analytically in the direction of the dimensionless radial coordinate pointing from the scaling center to the boundary . An important advantage is that it requires no additional effort for the characterization of existing stress singularities. The situation of two meeting inter‐fiber cracks is investigated in detail, considering different materials and fiber / crack orientations. It is shown that in three‐dimensional crack configurations in composite laminates so‐called hypersingularities can occur, i.e. stress singularities which are even stronger than the classical crack singularity. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
ISSN:1617-7061
1617-7061
DOI:10.1002/pamm.201410066