The orders of singular stresses at plane bi- and trimaterial junctions - Closed-form analytical solutions

The plane problem of a bi‐ or trimaterial‐junction, consisting of dissimilar, homogeneous, isotropic and linear elastic sectors is considered. The asymptotic behaviour of the stresses of this composite situation is analyzed by the complex variable method, based on an appropriate choice of the Koloso...

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Published inProceedings in applied mathematics and mechanics Vol. 11; no. 1; pp. 267 - 268
Main Authors Sator, Christian, Becker, Wilfried
Format Journal Article
LanguageEnglish
Published Berlin WILEY-VCH Verlag 01.12.2011
WILEY‐VCH Verlag
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Summary:The plane problem of a bi‐ or trimaterial‐junction, consisting of dissimilar, homogeneous, isotropic and linear elastic sectors is considered. The asymptotic behaviour of the stresses of this composite situation is analyzed by the complex variable method, based on an appropriate choice of the Kolosov‐potentials which are applicable in the vicinity of the vertex. In the analyses, the identification of the singularity exponent is emphasized. With the help of a novel approach it is demonstrated how to derive some solutions for the orders of the stress singularities at bi‐ and trimaterial combinations in a closed‐form analytical manner. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Bibliography:ark:/67375/WNG-SBS3K584-W
istex:207F577BB8DBC621DF0F264D6208146D74EA2384
ArticleID:PAMM201110125
ISSN:1617-7061
1617-7061
DOI:10.1002/pamm.201110125