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On the search of supersingularities, more severe than a common crack singularity
Author(s) -
Sator Christian,
Becker Wilfried
Publication year - 2010
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201010059
Subject(s) - gravitational singularity , isotropy , singularity , vertex (graph theory) , homogeneous , stiffness , plane stress , stress (linguistics) , mathematical analysis , geometry , mathematics , structural engineering , materials science , physics , statistical physics , composite material , engineering , finite element method , optics , graph , linguistics , philosophy , discrete mathematics
Stress singularities at two‐dimensional multi‐material‐junctions, consisting of dissimilar, homogeneous, isotropic and linear‐elastic wedges under a plane strain state are considered. The stresses formed at the vertex of this multi‐material composite situation are analyzed by complex variable method, based on a choice of the Kolosov‐potentials which are applicable in the vicinity of the vertex. The characteristic equation for the order of the stress singularities is available in a closed‐form analytical manner and investigated numerically. By varying parameters, like the stiffness ratio of one material with respect to the remaining stiffnesses or the angle between the involved sectors of the junction, useful information about the variation of the order of the stress singularities is provided. A particular outcome of the performed investigations is that there are many situations where supersingularities occur, i.e. singularities more severe than those due to a crack inside a homogeneous material. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)