Study of the Mechanical Behavior of Composite Plates by Homogenisation

AbstractIn this paper, we propose to apply the homogenisation technique by using an asymptotic development, in the case of non-symmetrical periodic structure plates in relation to the average plan. The choice of this model is characterized by two important parameters: thickness of the plate and the size of the period. It is supposed that the thickness is smaller compared to the period dimension. The obtained results indicate that the homogenisation technique is able to predict the behaviour of periodic composites. We have shown that the complexity of numerical modelling can be solved by choosing a plan model, which gives the same results as a three-dimensional model. The equivalent elasticity coefficients and micro-constraints were analytically calculated, then by finite elements in the basic cell level