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Line Forces and Dislocations in Anisotropic Elastic Composite Wedges and Spaces
Author(s) -
Ting T. C. T.
Publication year - 1988
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221460105
Subject(s) - wedge (geometry) , traction (geology) , composite number , anisotropy , dislocation , plane stress , geometry , stress (linguistics) , materials science , displacement (psychology) , mathematical analysis , composite material , mathematics , physics , optics , finite element method , geology , thermodynamics , psychology , linguistics , philosophy , geomorphology , psychotherapist
A composite wedge or a composite space is considered which consists of n wedges of different anisotropic elastic materials and wedge angles. For the composite wedge, a line force is applied at its wedge apex while the sides of the composite wedge is traction free. For the composite space, a line force and a line dislocation are applied at the center. In both cases, explicit solutions in real form are obtained for the displacement, the displacement gradient, the stress function and the stress. This is achieved by the new sum rules presented here. In most literatures, the stress in a homogeneous anisotropic elastic space subject to a line force or a line dislocation is obtained indirectly through the displacement gradient and the stress–strain laws. In this paper the stress is obtained directly from the stress function. An interesting result is that the surface traction on any radial plane vanishes for the composite wedge. For the composite space, the surface traction on any radial plane depends on r only and is invariant with respect to the choice of the radial plane.