Computation of effective behavior of isotropic transverse composite in nonlinear problems

•New model of non linear macroscopic behavior of composites.•Isotropic transverse composite.•Using numerical simulations.•Constructing analytical formula to predict macroscopic behavior. Computational homogenization is demonstrated as a potential analysis tool that can be used directly to predict the property structure relationships of many existing classes of composites. Based on finite element simulations, using the Zebulon structures calculation code, the present study is devoted to computation and estimation the effective behavior of the nonlinear composite materials with randomly identical elastic perfectly plastic parallel cylindrical fibers distribution in linear elastic matrix phase. The parameters of effective behavior of the composite will be expressed. These parameters are the effective elastic tangent modulus, effective plastic tangent modulus and effective yield stress. The proposed method can be readily applied to compute the parameters of effective behavior composite, using a new proposed analytical expression based on the volume fraction and effective Young's modulus of each component. A good agreement between expression and simulation results is observed. Several examples are shown.