On efficient and reliable stochastic generation of RVEs for analysis of composites within the framework of homogenization

Abstract

In this paper we describe efficient methods of generation of representative volume elements (RVEs) suitable for producing the samples for analysis of effective properties of composite materials via and for stochastic homogenization. We are interested in composites reinforced by a mixture of spherical and cylindrical inclusions. For these geometries we give explicit conditions of intersection in a convenient form for verification. Based on those conditions we present two methods to generate RVEs: one is based on the Random Sequential Adsorption scheme, the other one on the time driven Molecular Dynamics. We test the efficiency of these methods and show that the first one is extremely powerful for low volume fraction of inclusions, while the second one allows us to construct denser configurations. All the algorithms are given explicitly so they can be implemented directly.

20 pages

Cited by in corpus (4)

• Measure of combined effects of morphological parameters of inclusions within composite materials via stochastic homogenization to determine effective mechanical properties
• Computation of thermal properties via 3D homogenization of multiphase materials using FFT-based accelerated scheme
• On the choice of homogenization method to achieve effective mechanical properties of composites reinforced by ellipsoidal and spherical particles
• An FFT-solver used for virtual Dynamic Mechanical Analysis experiments: Application on a glassy/amorphous system and on a particulate composite