Analytical study on the elastoplastic behavior in metal matrix composites

An analytical derivation of composite mechanics to investigate elastoplastic behavior is carried out to predict fiber stresses and fiber/matrix interfacial shear stresses. The model is based on the theoretical development considering stress concentration effects and its formulation is extended to investigate the elastoplastic behavior. The procedure is performed to investigate the stress transfer mechanism in a short fiber reinforced metal matrix composite. For the region of matrix plasticity, slip mechanisms between fiber and matrix which normally take place at the interface are considered for the derivation. Results of predicted stresses for the small scale matrix yielding as well as the large scale matrix yielding are described based on closed form solution. It is found that the proposed model shows the capability to correctly predict the values of fiber stresses and fiber/matrix interfacial shear stresses.