A computer study of stress-strain state of a heterogeneous environment consisting of a hard dispersed inclusions, located in the highly elastic matrix with a highly pronounced nonlinear elastic characteristics. In accordance with the repeatedly expressed in the literature assumptions believed that around the filler particles can exist nanolayers binder with special mechanical properties. It is shown that in case the inclusion size commensurate with the thickness of nanolayers, they contribute a substantial equalization of stress gradients near the filler particles, the filler especially if the concentration reaches values such that the average distance between particles of the same order of magnitude as the layer. According to the authors, this effect should have a positive effect on improving the strength properties of the nanocomposite systems compared to conventional composite materials.