Topic
Representative elementary volume
About: Representative elementary volume is a research topic. Over the lifetime, 4105 publications have been published within this topic receiving 86863 citations.
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TL;DR: In this paper, the size of a representative volume element (RVE) is related to the domain size of the microstructure providing a good statistical representation of typical material properties.
149 citations
TL;DR: In this paper, a numerical procedure to determine the equivalent micro-mechanical properties of intact rocks is presented using a stochastic representative elementary volume (REV) concept and a particle mechanics approach.
Abstract: A numerical procedure to determine the equivalent micro-mechanical properties of intact rocks is presented using a stochastic representative elementary volume (REV) concept and a particle mechanics approach. More than 200 models were generated in square regions with side lengths varying from 1 to 10 cm, using the Monte Carlo simulation technique. Generated particle models were then used for the calculation of equivalent micro-mechanical properties. Results with a core sample of diorite from Aspo, Sweden, show that the variance of the calculated values of mechanical properties decrease significantly as the side lengths of particle models increase, reaching a REV side length about 5 cm with an acceptable variation of 5%, which is equal to the minimum diameter of rock specimen for uniaxial compressive tests suggested by ISRM. The complete stress-strain curve of the diorite rock sample was predicted under uniaxial compression, as the basis for evaluating the damage and failure processes. The unique contribution of this paper is its study on impacts of sample size and particle size distributions on mechanical behaviour of rocks when particle mechanics approaches are used.
147 citations
TL;DR: In this article, a representative volume element (RVE) is constructed by assuming that the CNTs are dispersed homogeneously in the polymer matrix, and it is assumed that the RVE contains a single CNT.
147 citations
TL;DR: In this article, the concept of representative volume element (RVE) for softening materials is revised by means of numerical simulations that there exists a sample which is statistically representative for quasi-brittle materials with random microstructure like concrete.
146 citations
TL;DR: In this article, a model-order reduction technique for the solution of the fine-scale equilibrium problem appearing in computational homogenization is presented, where the reduced set of empirical shape functions is obtained using a partitioned version of the Proper Orthogonal Decomposition (POD).
146 citations