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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01 Jan 1984
TL;DR: Stochastic methods may be applied to flow problems in porous media because they are well suited to cope with the variability of the physical properties in space as discussed by the authors, but they are not suitable for flow analysis in the real world.
Abstract: Stochastic methods may be applied to flow problems in porous media because they are well suited to cope with the variability of the physical properties in space.
77 citations
TL;DR: In this article, the authors present two micromechanical models for the analysis of plain weave fabric composites, which utilize the representative volume cell approach to divide the representative unit volume of the woven lamina into subcells of homogeneous material.
Abstract: This paper presents two newly developed micromechanical models for the analysis of plain weave fabric composites. Both models utilize the representative volume cell approach. The representative unit volume of the woven lamina is divided into subcells of homogeneous material. Starting with the average strains in the representative volume cell and based on continuity requirements at the subcell interfaces, the strains and stresses in the composite fiber yarns and matrix are determined as well as the average stresses in the lamina. Equivalent homogenized material properties are also determined. In their formulation the developed micromechanical models take into consideration all components of the three-dimensional strain and stress tensors. The performance of both models is assessed through comparison with available results from other numerical, analytical, and experimental approaches for composite laminae homogenization. The very good accuracy together with the simplicity of formulation makes these models attractive for the finite element analysis of composite laminates.
77 citations
TL;DR: In this article, numerical homogenization technique and morphological analysis are used in order to compute the thermal conductivity in microscale of porous materials, which is based on a 3D random material with spherical and ellipsoidal pores.
77 citations
25 Oct 2010-Materials Science and Engineering A-structural Materials Properties Microstructure and Processing
TL;DR: In this paper, a qualitative analysis was carried out on the formability of dual-phase (DP) steels by introducing a realistic microstructure-based finite element approach, which was constructed using a mesh generation process with a boundary-smoothing algorithm after proper image processing.
Abstract: A qualitative analysis was carried out on the formability of dual-phase (DP) steels by introducing a realistic microstructure-based finite element approach. The present microstructure-based model was constructed using a mesh generation process with a boundary-smoothing algorithm after proper image processing. The developed model was applied to hole-expansion formability tests for DP steel sheets having different volume fractions and morphological features. On the basis of the microstructural inhomogeneity observed in the scanning electron micrographs of the DP steel sheets, it was inferred that the localized plastic deformation in the ferritic phase might be closely related to the macroscopic formability of DP steel. The experimentally observed difference between the hole-expansion formability of two different microstructures was reasonably explained by using the present finite element model.
77 citations
05 Dec 2005-Materials Science and Engineering A-structural Materials Properties Microstructure and Processing
TL;DR: In this paper, the authors deal with the modelling of periodic composites made of piezoceramic (lead zirconate-titanat) fibres embedded in a soft non-piezoelectric matrix (polymer).
Abstract: This work deals with the modelling of periodic composites made of piezoceramic (lead zirconate-titanat) fibres embedded in a soft non-piezoelectric matrix (polymer). The goal is to predict the effective coefficients of such periodic transversely isotropic piezoelectric fibre composites by use of a representative volume element or unit cell. The solution is based on a numerical approach using finite element method (FEM). The necessary basic equations for the piezoelectric material are introduced and the special concept for definition of generalised periodic boundary conditions for the unit cell is explained. For a composite with square arrangements of cylindrical fibres the algorithm is demonstrated and the extension to other fibre arrangements is shown. For different fibre volume fractions the results are compared with analytical solutions.
77 citations