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Self‐Consistent Method to Calculate Fiber Interactions in a SiC/Al 2 O 3 Ceramic Composite
Author(s) -
Bertinetti María A.,
Turner Pablo A.,
Bolmaro Raú E.,
Tomé Carlos N.
Publication year - 1996
Publication title -
journal of the american ceramic society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.9
H-Index - 196
eISSN - 1551-2916
pISSN - 0002-7820
DOI - 10.1111/j.1151-2916.1996.tb08751.x
Subject(s) - composite number , materials science , composite material , anisotropy , ceramic , isotropy , ceramic matrix composite , fiber , sintering , thermal , matrix (chemical analysis) , thermal expansion , thermodynamics , physics , optics
The sintering of Al 2 O 3 /SiC ceramic composite leads to a state of high internal stresses in the composite material at room temperature because of the difference in thermal contraction between matrix and particles. It has been shown in a previous work 1 that the interaction among fibers must be accounted for in order to predict correctly the residual stresses. In the present paper we develop a numerical scheme that permits taking into account such interaction for an arbitrary distribution of fiber directions (DFD) and for completely anisotropic properties of the phases. We apply the formulation to calculate the average strain in the matrix (due to the interaction among fibers) and the effective thermal coefficients of the composite. We find that the average strain in the matrix depends strongly on the DFD and that the predictions agree with measurements done by Majumdar and Kupperman. 3 We prove that the effective thermal coefficients of the composite are not sensitive to the DFD when the matrix and the fibers exhibit isotropic thermal and elastic properties. Finally, we analyze the effect of the DFD and of the fiber interaction on the internal stresses inside the SiC fibers and compare with experimental values.