Symmetrical Representation of Stresses in the Stroh Formalism and its Application to a Dislocation and a Dislocation Dipole in an Anissotropic Elastic Medium |
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Authors: | V Mantič F París |
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Institution: | (1) Escuela Superior de Ingenieros, University of Seville, Av. Reina Mercedes s/n, Seville, 41012, Spain |
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Abstract: | Symmetrical stress representation in the Stroh formalism for anisotropic elastic bodies is introduced and the range of its
applicability is analysed. By making use of this stress representation new formulae for influence functions giving stresses
in an infinite anisotropic medium subjected to a straight dislocation and a straight dislocation dipole are derived. The advantage
of the new formulae is that they explicitly show the symmetrical structure of these influence functions not referred to previously.
Relations of these influence functions to influence functions giving stresses and Airy stress function due to a straight wedge
disclination, whose explicit expressions are also introduced, are derived. Application of these results in computation of
stresses by the hypersingular and regularized Somigliana stress identities is discussed.
This revised version was published online in August 2006 with corrections to the Cover Date. |
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Keywords: | Anistropic materials Stroh formalism stress representation straight dislocation straight dislocation dipole straight wedge disclination boundary integral equations Somigliana stress identity |
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