Journal ArticleDOI
Generalized boundary conditions on representative volume elements and their use in determining the effective material properties
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In this article, a generalized representative volume element (RVE) boundary is partitioned into n parts to obtain a smooth scaling between the extremal cases of homogeneous stress or homogeneous strain BC.About:
This article is published in Computational Materials Science.The article was published on 2013-11-01. It has received 22 citations till now. The article focuses on the topics: Representative elementary volume.read more
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Aspects of Computational Homogenization at Finite Deformations: A Unifying Review From Reuss' to Voigt's Bound
TL;DR: This contribution is to present a unifying review on strain-driven computational homogenization at finite strains, thereby elaborating on computational aspects of the finite element method.
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Homogenization of composites with extended general interfaces: comprehensive review and unified modeling
TL;DR: In this article, a universal interface model is proposed for the homogenization of heterogeneous materials embedding interfaces between their constituents, which can recover any of the classical interface models.
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Wang tiling aided statistical determination of the Representative Volume Element size of random heterogeneous materials
TL;DR: In this article, Wang et al. apply the tiling approach in numerical homogenization to determine the Representative Volume Element size related to the user-defined significance level and the discrepancy between bounds on the apparent properties.
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Generation of Three-Dimensional Microstructure Model for Discontinuously Reinforced Composite by Modified Random Sequential Absorption Method
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A micromechanics theory for homogenization and dehomogenization of aperiodic heterogeneous materials
TL;DR: This theory provides a rational approach for avoiding the difficulty of creating periodic meshes and automatically captures finite dimension effects and can model heterogeneous materials with partial periodicity.
References
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Journal ArticleDOI
The Elastic Behaviour of a Crystalline Aggregate
TL;DR: The connection between the elastic behavior of an aggregate and a single crystal is considered in this article, with special reference to the theories of Voigt, Reuss, and Huber and Schmid.
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Elastic properties of reinforced solids: some theoretical principles
TL;DR: In this paper, an elementary account of several theoretical methods of attack is given, among them the derivation of inequalities between various moduli, and the approach is completely general and exact.
Journal ArticleDOI
Analysis of Composite Materials—A Survey
TL;DR: In this paper, the authors review the analysis of composite materials from the applied mechanics and engineering science point of view, including elasticity, thermal expansion, moisture swelling, viscoelasticity, conductivity, static strength, and fatigue failure.
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Determination of the size of the representative volume element for random composites: statistical and numerical approach
TL;DR: In this article, a quantitative definition of the representative volume element (RVE) size is proposed, which can be associated with a given precision of the estimation of the overall property and the number of realizations of a given volume V of microstructure that one is able to consider.
Journal ArticleDOI
A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites
W. J. Drugan,John R. Willis +1 more
TL;DR: In this paper, a variational formulation is employed to derive a micromechanics-based, explicit nonlocal constitutive equation relating the ensemble averages of stress and strain for a class of random linear elastic composite materials.