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Journal ArticleDOI

Some elements of microstructural mechanics

TLDR
In this article, the authors use a simplified homogenization polycrystal model to compute the local stress-strain fields that can be used to predict damage or crack initiation.
About
This article is published in Computational Materials Science.The article was published on 2003-05-01. It has received 174 citations till now. The article focuses on the topics: Structural mechanics & Constitutive equation.

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Citations
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Coupling between experimental measurements and polycrystal finite element calculations for micromechanical study of metallic materials

TL;DR: In this article, a methodology for multiscale coupling between the morphology and texture of a microstructure as has been characterised experimentally, and the results of mechanical strain field analysis is presented.
Journal ArticleDOI

Apparent and effective physical properties of heterogeneous materials: Representativity of samples of two materials from food industry

TL;DR: In this paper, the authors used three-dimensional confocal images of two materials A and B from food industry made of two constituents with highly contrasted properties, having the same volume fraction but different morphologies, to estimate their effective elastic and thermal properties.
Journal ArticleDOI

Periodic three-dimensional mesh generation for crystalline aggregates based on Voronoi tessellations

TL;DR: Numerical simulations show the efficiency of the proposed homogenization technique and the effective linear elastic properties of polycrystals consisting of grains with a cubic symmetry.
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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.
Journal ArticleDOI

Computational homogenization of elasto-plastic porous metals

TL;DR: In this paper, the authors investigated the pressure dependency of the deviatoric limit stress of the three-dimensional microstructures of ductile metals containing spherical pores at volume fractions between 0.1% and 30%.
References
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Journal ArticleDOI

The deformation of plastically non-homogeneous materials

TL;DR: The geometrically necessary dislocations as discussed by the authors were introduced to distinguish them from the statistically storages in pure crystals during straining and are responsible for the normal 3-stage hardening.
Book

Theory of structural transformations in solids

TL;DR: Theory of structural transformations in solids as mentioned in this paper, Theory of structural transformation of solids, and structural transformation in the solids. But, the structural transformations are not necessarily symmetric.
Journal ArticleDOI

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

Continuum micro-mechanics of elastoplastic polycrystals

TL;DR: In this article, the internal inhomogeneities of stress and strain in an arbitrarily deformed aggregate of elasto-plastic crystals are evaluated theoretically using a tensor constitutive law of a general kind.
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