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A closed‐form analysis of material and geometry effects on stress singularities at unsymmetric bimaterial notches
Author(s) -
Nachname Müller, A.; Hohe, J.; Becker, W.
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310090
Subject(s) - singularity , gravitational singularity , stress (linguistics) , geometry , stress field , dependency (uml) , materials science , mechanics , mathematical analysis , mathematics , classical mechanics , structural engineering , physics , finite element method , engineering , philosophy , linguistics , systems engineering
Abstract An important issue in the mechanics of adhesive bonds is the knowledge of local mechanical fields. In the present study, an asymptotic analysis of the stress fields near an unsymmetric bimaterial notch with arbitrary opening angle is performed. Using the complex potential method, the order of the singularity of the stress fields at a notch tip can be determined in closed‐form analytical manner, so that the dependency of the occurring singularity exponents on geometry and material properties can be studied systematically.