Tensor-valued random fields for meso-scale stochastic model of anisotropic elastic microstructure and probabilistic analysis of representative volume element size

Probabilistic Engineering Mechanics ◽

10.1016/j.probengmech.2007.12.019 ◽

2008 ◽

Vol 23 (2-3) ◽

pp. 307-323 ◽

Author(s):

C. Soize

Keyword(s):

Stochastic Model ◽

Representative Volume Element ◽

Probabilistic Analysis ◽

Random Fields ◽

Volume Element ◽

Representative Volume ◽

Element Size ◽

Representative Volume Element Size ◽

Anisotropic Elastic ◽

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Determining the representative volume element size for three-dimensional microstructural material characterization. Part 2: Application to experimental data

Journal of Power Sources ◽

10.1016/j.jpowsour.2015.02.052 ◽

2015 ◽

Vol 282 ◽

pp. 622-629 ◽

Author(s):

William M. Harris ◽

Wilson K.S. Chiu

Keyword(s):

Experimental Data ◽

Representative Volume Element ◽

Material Characterization ◽

Three Dimensional ◽

Volume Element ◽

Representative Volume ◽

Element Size ◽

Representative Volume Element Size

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On Representative Volume Element Size for the Analysis of Masonry Structures

Proceedings of the Tenth International Conference on Civil, Structural and Environmental Engineering Computing ◽

10.4203/ccp.81.188 ◽

2009 ◽

Author(s):

J. Novák ◽

M. Šejnoha ◽

J. Zeman

Keyword(s):

Representative Volume Element ◽

Volume Element ◽

Masonry Structures ◽

Representative Volume ◽

Element Size ◽

Representative Volume Element Size

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Influence of representative volume element size on predicted elastic properties of polymer materials

Modelling and Simulation in Materials Science and Engineering ◽

10.1088/0965-0393/17/4/045004 ◽

2009 ◽

Vol 17 (4) ◽

pp. 045004 ◽

Author(s):

P K Valavala ◽

G M Odegard ◽

E C Aifantis

Keyword(s):

Elastic Properties ◽

Representative Volume Element ◽

Volume Element ◽

Polymer Materials ◽

Representative Volume ◽

Element Size ◽

Representative Volume Element Size

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Periodization of random media and representative volume element size for linear composites

Comptes Rendus Mécanique ◽

10.1016/j.crme.2004.10.003 ◽

2005 ◽

Vol 333 (2) ◽

pp. 187-195 ◽

Author(s):

Karam Sab ◽

Boumediene Nedjar

Keyword(s):

Representative Volume Element ◽

Random Media ◽

Volume Element ◽

Representative Volume ◽

Element Size ◽

Representative Volume Element Size

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Determining the representative volume element size for three-dimensional microstructural material characterization. Part 1: Predictive models

Journal of Power Sources ◽

10.1016/j.jpowsour.2015.02.035 ◽

2015 ◽

Vol 282 ◽

pp. 552-561 ◽

Author(s):

William M. Harris ◽

Wilson K.S. Chiu

Keyword(s):

Representative Volume Element ◽

Predictive Models ◽

Material Characterization ◽

Three Dimensional ◽

Volume Element ◽

Representative Volume ◽

Element Size ◽

Representative Volume Element Size

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A numerical investigation of the effect of boundary conditions and representative volume element size for porous titanium

Journal of Mechanics of Materials and Structures ◽

10.2140/jomms.2006.1.1179 ◽

2006 ◽

Vol 1 (7) ◽

pp. 1179-1204 ◽

Author(s):

Hui Shen ◽

L. Catherine Brinson

Keyword(s):

Boundary Conditions ◽

Numerical Investigation ◽

Representative Volume Element ◽

Porous Titanium ◽

Volume Element ◽

Representative Volume ◽

Element Size ◽

Representative Volume Element Size

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Numerical experiments for the appropriate representative volume element size selection on thin texturized metals under mechanical loads

PAMM ◽

10.1002/pamm.201310128 ◽

2013 ◽

Vol 13 (1) ◽

pp. 265-266

Author(s):

Jonathan Montalvo-Urquizo ◽

Mischa Ungermann

Keyword(s):

Representative Volume Element ◽

Numerical Experiments ◽

Volume Element ◽

Mechanical Loads ◽

Size Selection ◽

Representative Volume ◽

Element Size ◽

Representative Volume Element Size

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Generalized self-consistent estimation of the apparent isotropic elastic moduli and minimum representative volume element size of heterogeneous media

International Journal of Solids and Structures ◽

10.1016/j.ijsolstr.2006.07.003 ◽

2007 ◽

Vol 44 (7-8) ◽

pp. 2225-2243 ◽

Author(s):

V. Pensée ◽

Q.-C. He

Keyword(s):

Representative Volume Element ◽

Elastic Moduli ◽

Heterogeneous Media ◽

Volume Element ◽

Consistent Estimation ◽

Representative Volume ◽

Element Size ◽

Representative Volume Element Size ◽

Self Consistent

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Homogenization of the average thermo-elastoplastic properties of particle reinforced metal matrix composites: The minimum representative volume element size

Composite Structures ◽

10.1016/j.compstruct.2014.03.048 ◽

2014 ◽

Vol 113 ◽

pp. 459-468 ◽

Author(s):

X.X. Zhang ◽

B.L. Xiao ◽

H. Andrä ◽

Z.Y. Ma

Keyword(s):

Metal Matrix Composites ◽

Representative Volume Element ◽

Metal Matrix ◽

Volume Element ◽

Matrix Composites ◽

Representative Volume ◽

Element Size ◽

Elastoplastic Properties ◽

Representative Volume Element Size

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Representative volume element size determination for viscoplastic properties in polycrystalline materials

International Journal of Solids and Structures ◽

10.1016/j.ijsolstr.2018.09.011 ◽

2019 ◽

Vol 158 ◽

pp. 210-219

Author(s):

S. Yang ◽

J. Dirrenberger ◽

E. Monteiro ◽

N. Ranc

Keyword(s):

Representative Volume Element ◽

Volume Element ◽

Polycrystalline Materials ◽

Size Determination ◽

Representative Volume ◽

Element Size ◽

Representative Volume Element Size ◽

Viscoplastic Properties

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