The theoritical research in the yielding behaviour of tensile deformation in short fiber reinforced metal matrix composite

Based on the large strain axisymmetric elasto-plastic finite element and the law of mixture, a new method for defining the yielding behavior of metal matrix composite was proposed and an analytical expression for the coefficient of stress and strain distribution was derived. The effect of the material parameters (fiber volume fraction, fiber aspect ratio, fiber end distance and matrix strain hardening coefficient) on the deformation behavior of short fiber reinforced metal matrix composite was investigated. It was demonstrated that the stress strain partition parameter can be used to describe the stress transfer effect quantitatively and there is a determinate relation between the stress strain partition parameter and the elastic modulus of composite. The effect of material parameters on initial yielding behavior is shown more appropriately by this new method. The predicted elastic modulus and yielding stress are in good agreement with the experiment and also with the Eshelby model.