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Journal of Reinforced Plastics and Composites
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Elastic Constants of Uniaxially Fiber Reinforced Multiphase Composites Using Recursive Cell Model

P. C. Upadhyay

Department of Mechanical Engineering, Banaras Hindu University, Varanasi, 221005 India

Jed S. Lyons

Department of Mechanical Engineering, University of South Carolina, Columbia, SC 29208

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.

Key Words: recursive cell model • multiphase composite • elastic constants • fiber-reinforced composites

Journal of Reinforced Plastics and Composites, Vol. 19, No. 7, 569-603 (2000)
DOI: 10.1177/073168440001900704
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P.C. Upadhyay and J. S. Lyons
Elastic Constants of Uniaxially Fiber-Reinforced Composites with Degraded Interphase
Journal of Reinforced Plastics and Composites, June 1, 2009; 28(12): 1441 - 1458.
[Abstract] [PDF]