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- W2023175541 abstract "The elastic field in a three-phase cylindrically concentric, transversely isotropic solid due to a uniform stress-free transformation strain in the central fiber is derived. The transformation strains considered are selected to include the uniaxial tension, plane-strain dilatation, transverse shear, and axial shear, and it is found that, with the exception of the transverse-shear condition, the strain fields in the fiber are also uniform. These solutions enable one to establish the five non-vanishing components of the average S-tensor in such a three-phase solid. With the help of these components, the modified Mori-Tanaka method recently suggested by Luo and Weng (1987) is applied to calculate the five elastic moduli of a fiber-reinforced composite. Surprisingly enough four of the five moduli are found to remain unchanged under this modification; they all coincide with the Hill-Hashin bounds. The fifth one—the transverse shear modulus—becomes stiffer than the original prediction (or Hashin's lower bound), but still lies below Christensen-Lo's result and Hashin's upper bound." @default.
- W2023175541 created "2016-06-24" @default.
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- W2023175541 date "1989-12-01" @default.
- W2023175541 modified "2023-10-18" @default.
- W2023175541 title "On eshelby's in a three-phase cylindrically concentric solid, and the elastic moduli of fiber-reinforced composites" @default.
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- W2023175541 doi "https://doi.org/10.1016/0167-6636(89)90008-2" @default.
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