Elastic constants of uniaxially fiber reinforced multiphase composites using recursive cell model

A recursive algorithm is developed for the evaluation of elastic constants of uniaxially reinforced fiber composites with multiple coatings (phases) a round the fiber, using the repeating cell model of Aboudi. Two concentric p hases are considered at a time, starting with the innermost phase of the fi ber and its immediate surrounding coating (phase). To get the effective fib er elastic constants of the combined two phases, results from the micromech anics based analysis, using a cell-stress approach associated with complime ntary energy minimization, are utilized. The recursive method is applied to a titanium matrix composite reinforced with silicon carbide fibers (SiC/Ti ) and a titanium matrix composite reinforced with Al2O3 fibers (Al2O3/Ti). Results from the proposed recursive cell model are compared with the result s obtained from Sutcu's recursive method based on the CCA model.