Abstract
A recursive algorithm is developed for the evaluation of elastic constants of uniaxially reinforced fiber composites with multiple coatings (phases) around the fiber, using the repeating cell model of Aboudi. Two concentric phases are considered at a time, starting with the innermost phase of the fiber and its immediate surrounding coating (phase). To get the effective fiber elastic constants of the combined two phases, results from the micromechanics based analysis, using a cell-stress approach associated with complimentary energy minimization, are utilized. The recursive method is applied to a titanium matrix composite reinforced with silicon carbide fibers (Si C/Ti) and a titanium matrix composite reinforced with A1203 fibers (A1203/Ti). Results from the proposed recursive cell model are compared with the results obtained from Sutcu's recursive method based on the CCA model.
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