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, a hybrid lattice Boltzmann-finite element method was proposed to estimate the chloride diffusivity in cementitious materials, which is based on both the environmental conditions and the evolution of their underlying microstructures over a wide range of length scales.
33 citations
TL;DR: In this paper, the overall response of linear elastic materials containing non-intersecting spherical inhomogeneities without altering the microscopic geometry of a given representative volume element is determined.
33 citations
TL;DR: In this paper, the effect of different loading paths (uniaxial and multiaxial) and the mean stress or strain effects, fatigue life is qualitatively evaluated by employing a micromechanical approach developed in the first part of this paper.
33 citations
21 Jan 2021
TL;DR: A review of the FE2 method to model various phenomena in the mechanics of composite materials and discusses various implementations, along with future directions for multiscale modelling of composites using FE2.
Abstract: Composite materials and structures are inherently inhomogeneous and anisotropic across multiple scales. Multiscale modelling offers opportunities to understand the coupling of material behaviour and characteristics from the micro- to meso- and macro-scales, critical to the optimal design of composite structures for lightweighting and mechanical performance. FE2 is an increasingly popular class of multiscale methods because of its versatility to model heterogeneous material behaviour across multiple scales. In classical FE2 analysis, two finite elements (FE) calculations are carried out in a nested manner, one at the macroscale and the other at the microscale. Unlike conventional analysis, the macroscale FE analysis does not require homogenized constitutive properties because these are derived from the microscale FE simulations at the representative volume element (RVE) level. This has exciting significance for composite mechanics because properties characterized and defined at the microscale can be directly transferable to higher scales and validated with experiments. For example, failure criteria for composites need only be formulated at the microscale level of fibers and matrix. However, FE2 analysis is computationally expensive and the generally more complex classical nested implementation of FE2 is disadvantageous. This paper presents a review of the FE2 method to model various phenomena in the mechanics of composite materials and discusses various implementations. Recently, the Direct FE2 method, a variant of the FE2 method, has been shown to be particularly easy to implement in commercial FE codes, which also means that it has the additional advantage of ready access to inbuilt constitutive models library and other advanced features of the commercial code. We conclude with future directions for multiscale modelling of composites using FE2.
33 citations
TL;DR: In this paper, high-resolution X-ray tomography was employed to study the porous media in order to explore the morphology of fibrous porous media and furthermore evaluate the transport properties.
33 citations