Abstract
Stress singularities at two-dimensional bi- and trimaterial 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 composite situation are analyzed by the complex variable method, based on an appropriate choice of the Kolosov potentials that are applicable in the vicinity of the vertex. In doing so, the identification of the singularity exponent is performed. On the basis of a couple of bi- and trimaterial configurations, it is demonstrated how to derive some closed-form analytical solutions for the orders of the stress singularities from the characteristic equation.
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Sator, C., Becker, W. Closed-form solutions for stress singularities at plane bi- and trimaterial junctions. Arch Appl Mech 82, 643–658 (2012). https://doi.org/10.1007/s00419-011-0580-6
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DOI: https://doi.org/10.1007/s00419-011-0580-6