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 article, an original model for void closure is presented, accounting for the void's geometry and orientation, as well as the mechanical state during deformation, based on a wide campaign of finite element simulations at the scale of a representative volume element Various void geometries are defined and several mechanical states are prescribed on a range that is representative of industrial loadings.
38 citations
TL;DR: In this article, two continuum mechanics approaches were used to predict the stiffness of polyurethane-montmorillonite (PU-MTM) nanocomposites with various volume fractions.
38 citations
TL;DR: In this article, a fractal analysis of concrete mixtures is used to determine the ratio between the RVE size and the maximum particle size of concrete, and the results suggest that the ratio is 2.4-3.7, for increasing DF values from 2.5 to 3.
38 citations
TL;DR: In this paper, the influence of interface properties (strength and toughness) on the tensile behavior of fiber-reinforced elastomers deformed perpendicularly to the fibers was studied using computational micromechanics.
38 citations
TL;DR: In this paper, stochastic homogenization analysis of heterogeneous materials is addressed in the context of elasticity under finite deformations, and random effective quantities such as tangent tensor, first Piola---Kirchhoff stress, and strain energy along with their numerical characteristics are tackled under different boundary conditions by a multiscale finite element strategy combined with the Montecarlo method.
Abstract: In this work, stochastic homogenization analysis of heterogeneous materials is addressed in the context of elasticity under finite deformations. The randomness of the morphology and of the material properties of the constituents as well as the correlation among these random properties are fully accounted for, and random effective quantities such as tangent tensor, first Piola---Kirchhoff stress, and strain energy along with their numerical characteristics are tackled under different boundary conditions by a multiscale finite element strategy combined with the Montecarlo method. The size of the representative volume element (RVE) with randomly distributed particles for different particle volume fractions is first identified by a numerical convergence scheme. Then, different types of displacement-controlled boundary conditions are applied to the RVE while fully considering the uncertainty in the microstructure. The influence of different random cases including correlation on the random effective quantities is finally analyzed.
38 citations