A lattice‐particle approach to determine the RVE size for quasi‐brittle materials

Abstract

PurposeThe purpose of this paper is to determine the representative volume element (RVE) size for quasi‐brittle materials using a discrete approach, namely a lattice‐particle model.Design/methodology/approachDifferent material samples are generated and subjected to study regarding its size, maximum aggregate size and boundary conditions. In order to determine the mechanical properties such as the elastic modulus, Poisson's ratio or tensile strength, several tension tests are carried out. For this purpose, a lattice‐particle approach is used to model concrete's fracturing behavior. The information provided by the previous simulations is implemented in a statistical analysis to determine the size of the RVE.FindingsThe determination of the RVE size for quasi‐brittle materials is successfully achieved by means of a lattice‐particle model. Computed results show a good agreement with other results reported in the bibliography.Originality/valueWithin a general multiscale framework, the determination of the RVE size is of great interest and some studies have been performed for random heterogeneous materials. However, these analyses are mainly continuum‐based. The estimation of the RVE size is important for correctly predicting the mechanical properties and can be used in different multiscale schemes.