The Monte-Carlo Simulation Of Composite Micromechanics Based On Shear-lag Model

As a method to predict the mechanical properties and reveal the damageessences of composites, meso-mechanics has the significant meaning instudying and designing composites. Previous work has proved that it was amature way to predict the ultimate tensile strength of unidirectional compositewith shear-lag model and Monte-Carlo simulation.According to the characteristics of composite meso-structure, in this paper,the fibers' stochastic distribution assumption was presented and a newshear-lag model was built. In order to check the model, the finite elementsoftware MSC.Patran and MSC.Nastran was used and the model had areasonable agreement with the FEM results. The finite-difference method wasintroduced to analyze the mass-fibers condition and a finite-difference model,based on the new shear-lag model, was built.Finally, the meso-cosmic stress distribution and the prediction for ultimatetensile strength of composites were obtained by the new shear-lag model withMonte-Carlo simulation method. Compared with the normal shear-lag model,we obtained stress distribution from the new model was different and it wasaffected by the distances of fibers. Because of the stochastic locations offibers, the strength results were a little lower than previous work.