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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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Journal ArticleDOI
TL;DR: In this article, the overall yield behavior of a three-dimensional model foam is investigated by microstructural modeling and numerical homogenisation on an elasto-plastic lattice of tetrakaidecahedral cells.

42 citations

Journal ArticleDOI
TL;DR: In this article, the deformation induced by thermal cycling of a particle-reinforced metal is studied analytically and numerically and closed-form solutions are derived for four characteristic temperatures which signify certain critical conditions for the onset and spread of plasticity in the composite during thermal fluctuations.
Abstract: Elastoplastic deformation induced by the thermal cycling of a particle-reinforced metal is studied analytically and numerically. The representative volume element considered for analysis is a spherical ceramic particle embedded within a hollow sphere of the metallic matrix. Closed-form solutions are derived for four characteristic temperatures which signify certain critical conditions for the onset and spread of plasticity in the composite during thermal fluctuations. These conditions are then evaluated for a wide variety of commonly studied metal-ceramic composites. The effective coefficient of thermal expansion is derived and is shown to be in agreement with finite element results obtained for an Al-SiC composite. Numerical simulations addressing plastic strain accumulation and interfacial decohesion during thermal cycling are also discussed with the objective of providing some guidelines for the estimation of thermal fatigue life.

42 citations

Journal ArticleDOI
TL;DR: In this article, the in-plane and out-of-plane coefficients of thermal expansion (CTEs) of a high performance 3D orthogonal woven C/C composite at high temperature are studied by multi-scale mechanical modeling using the finite element method.

42 citations

Journal ArticleDOI
TL;DR: In this paper, an elastic-plastic constitutive model that incorporates the details of material microstructure is proposed for modeling composite and porous materials, based on two-scale analysis using the asymptotic homogenization method and the Voronoi cell finite element model for detailed microstructural analysis.
Abstract: An elastic–plastic constitutive model that incorporates the details of material microstructure, is proposed for modeling composite and porous materials. It is based on two-scale analysis using the asymptotic homogenization method and the Voronoi cell finite element model for detailed microstructural analysis. The linear elastic behavior is represented by an orthotropic elasticity tensor, obtained by solving an elastic microstructural problem with periodicity boundary conditions followed by homogenization. In the isotropic hardening plasticity with associate flow rule representation, a pressure-dependent yield function with strain and plastic work dependent parameters is postulated. The variation of these parameters are determined from a numerical database in the strain space that is generated from an ordered sequence of microstructural RVE (representative volume element) analyses with asymptotic homogenization. Numerical examples are conducted to examine the effectiveness of the constitutive model by comparing results of macroscopic analysis using the model and those of incremental two-scale analysis with homogenization. For a wide range of microstructures and loading conditions, the proposed model is found to yield extremely accurate solutions. Considerable advantage is achieved with respect to computational efficiency.

42 citations

Journal ArticleDOI
TL;DR: In this paper, the authors investigated three different approaches, which have specific mathematical formulations and unique characteristics: Asymptotic homogenization method (AHM), Semi Analytic Method (SAM) and Representative Volume Element (RVE) approach solved by Finite Element Method (FEM).

42 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023134
2022241
2021243
2020293
2019287
2018253