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Hypersingularities in three‐dimensional crack configurations in composite laminates
Author(s) -
Hell Sascha,
Becker Wilfried
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410066
Subject(s) - composite laminates , gravitational singularity , discretization , boundary (topology) , singularity , dimensionless quantity , finite element method , composite number , stress (linguistics) , boundary value problem , materials science , structural engineering , delamination (geology) , mathematical analysis , geometry , mathematics , composite material , mechanics , engineering , physics , geology , paleontology , linguistics , philosophy , subduction , tectonics
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)