Prediction of the effective Youngs modulus of a particulate composite containing fractured particles
This paper considers the problem of prediction of the effective Youngs modulus of a particulate composite material containing fractured particles. It treats the general case in which some particles are fractured while others remain intact. The reinforcing particles are assumed to be spherical. The MoriTanaka model is extended to formulate the method of solution. The resulting auxiliary problem of a single fractured particle in an infinite matrix subjected to a remote stress equal to the average matrix stress, for which Eshelbys solution does not exist, is solved by the finite element method. The predictions are compared with the exact results of Youngs modulus for particulate composites with body-centered cubic packing arrangement and experimental results of Youngs modulus for particulate composites containing fractured particles.
fracture particle-reinforced composites finite element analysis micro-mechanics