Fundamental Solution for Two-Phase Transversely Isotropic Materials

Failure in composite materials and metal-ceramic joints frequently occurs in the vicinity of a bonding edge. It is therefore necessary to clarify the stress and displacement fields around the bonding edge. In order to develop a suitable boundary element method for such a stress analysis, closed-form...

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Bibliographic Details
Published inTransactions of the Japan Society of Mechanical Engineers Series A Vol. 56; no. 521; pp. 84 - 92
Main Authors KOGUCHI, Hideo, OHSHIMA, Mutsumi, YADA, Toshio
Format Journal Article
LanguageJapanese
Published The Japan Society of Mechanical Engineers 1990
Subjects
Boundary Element Analysis
Composite Material
Elasticity
Green Function
Two-Phase Transversely Isotropic
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Summary:Failure in composite materials and metal-ceramic joints frequently occurs in the vicinity of a bonding edge. It is therefore necessary to clarify the stress and displacement fields around the bonding edge. In order to develop a suitable boundary element method for such a stress analysis, closed-form solutions are derived in the present paper for point force applied in the interior of a two-phase material consisting of two semiinfinite transversely isotropic elastic media bonded along a plane interface. The interface is parallel to the plane of isotropy of both media, and the solutions are applicable to all combinations of elastic constants. These solutions involve the Green function for infinite and semiinifinite transversely isotropic solids as well as infinite, semiinfinite, and two-phase isotropic solid.
ISSN:0387-5008
1884-8338
DOI:10.1299/kikaia.56.84