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Residual Stresses in Unidirectional Composites with Closely Spaced Fibers
Author(s) -
Kouris Demitris,
Meisner Mark
Publication year - 1995
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.1151-2916.1995.tb07971.x
Subject(s) - composite material , materials science , residual stress , composite number , ultimate tensile strength , equilateral triangle , fiber , stress field , polygon (computer graphics) , matrix (chemical analysis) , residual , finite element method , geometry , structural engineering , mathematics , computer science , algorithm , frame (networking) , engineering , telecommunications
Many of the composites utilized in current applications are consolidated at high temperatures. After cooldown to room temperature, the differences in the expansions of the constituent materials may lead to very high residual stresses. Since failure is driven by critical rather than average states, the local stress field becomes essential in evaluating any composite before it is tested under service conditions. The present study describes an analytical solution for the local residual field of a composite with fibers that are closely spaced. The geometry under consideration involves three fibers with their centers located at the vertices of an equilateral triangle. This arrangement corresponds to the generic element of the hexagonal array, an arguably natural fiber distribution. It was found that when the interfaces are perfectly bonded and the three fibers are very close to each other, tensile radial stresses may develop in the constrained matrix region. The analysis can be generalized for any number of fibers at the vertices of a regular polygon.