Evaluation of elastic properties and thermal expansion coefficient of composites reinforced by randomly distributed spherical particles with negative Poisson's ratio

In this contribution, numerical studies are carried-out in order to evaluate the elastic effective properties, including Young modulus, Poisson's ratio, shear modulus and linear thermal expansion coefficient of composites reinforced by randomly distributed spherical particles. The spherical inclusion and matrix can be made from auxetic materials. In this numerical, the volumetric fraction of randomly uniform spherical inclusion can reach up to 60.27% of total volume. Different scenarii are carried-out to build graphical results that can suggest the designer to choose an appropriate combination of parameter to make the expected materials.