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Statements

Subject Item
n2:RIV%2F68407700%3A21110%2F12%3A00188654%21RIV13-GA0-21110___
rdf:type
n10:Vysledek skos:Concept
rdfs:seeAlso
http://arxiv.org/abs/1103.5633
dcterms:description
In the analysis of composite materials with heterogeneous microstructures, full resolution of the heterogeneities using classical numerical approaches can be computationally prohibitive. This paper presents a micromechanics-enhanced finite element formulation that accurately captures the mechanical behaviour of heterogeneous materials in a computationally efficient manner. The strategy exploits analytical solutions derived by Eshelby for ellipsoidal inclusions in order to determine the mechanical perturbation fields as a result of the underlying heterogeneities. Approximation functions for these perturbation fields are then incorporated into a finite element formulation to augment those of the macroscopic fields. A significant feature of this approach is that the finite element mesh does not explicitly resolve the heterogeneities and that no additional degrees of freedom are introduced. In this paper, Hybrid-Trefftz stress finite elements are utilised and performance of the proposed formulation is demonstrated with numerical examples. The method is restricted here to elastic particulate composites with ellipsoidal inclusions but it has been designed to be extensible to a wider class of materials comprising arbitrary shaped inclusions. In the analysis of composite materials with heterogeneous microstructures, full resolution of the heterogeneities using classical numerical approaches can be computationally prohibitive. This paper presents a micromechanics-enhanced finite element formulation that accurately captures the mechanical behaviour of heterogeneous materials in a computationally efficient manner. The strategy exploits analytical solutions derived by Eshelby for ellipsoidal inclusions in order to determine the mechanical perturbation fields as a result of the underlying heterogeneities. Approximation functions for these perturbation fields are then incorporated into a finite element formulation to augment those of the macroscopic fields. A significant feature of this approach is that the finite element mesh does not explicitly resolve the heterogeneities and that no additional degrees of freedom are introduced. In this paper, Hybrid-Trefftz stress finite elements are utilised and performance of the proposed formulation is demonstrated with numerical examples. The method is restricted here to elastic particulate composites with ellipsoidal inclusions but it has been designed to be extensible to a wider class of materials comprising arbitrary shaped inclusions.
dcterms:title
A micromechanics-enhanced finite element formulation for modelling heterogeneous materials A micromechanics-enhanced finite element formulation for modelling heterogeneous materials
skos:prefLabel
A micromechanics-enhanced finite element formulation for modelling heterogeneous materials A micromechanics-enhanced finite element formulation for modelling heterogeneous materials
skos:notation
RIV/68407700:21110/12:00188654!RIV13-GA0-21110___
n10:predkladatel
n17:orjk%3A21110
n4:aktivita
n15:Z n15:P
n4:aktivity
P(GP103/09/P490), Z(MSM6840770003)
n4:cisloPeriodika
0
n4:dodaniDat
n9:2013
n4:domaciTvurceVysledku
n14:4695046 n14:1374249
n4:druhVysledku
n18:J
n4:duvernostUdaju
n16:S
n4:entitaPredkladatele
n12:predkladatel
n4:idSjednocenehoVysledku
120307
n4:idVysledku
RIV/68407700:21110/12:00188654
n4:jazykVysledku
n22:eng
n4:klicovaSlova
Micromechanics; Equivalent inclusion method; Eshelby's solution; Heterogeneous materials; Hybrid-stress finite elements; Displacement perturbations
n4:klicoveSlovo
n6:Hybrid-stress%20finite%20elements n6:Micromechanics n6:Heterogeneous%20materials n6:Displacement%20perturbations n6:Equivalent%20inclusion%20method n6:Eshelby%27s%20solution
n4:kodStatuVydavatele
NL - Nizozemsko
n4:kontrolniKodProRIV
[5116A490F475]
n4:nazevZdroje
Computer Methods in Applied Mechanics and Engineering
n4:obor
n5:JI
n4:pocetDomacichTvurcuVysledku
2
n4:pocetTvurcuVysledku
5
n4:projekt
n7:GP103%2F09%2FP490
n4:rokUplatneniVysledku
n9:2012
n4:svazekPeriodika
201-204
n4:tvurceVysledku
Kaczmarczyk, L. Grassl, P. Pearce, C. J. Novák, Jan Zeman, Jan
n4:wos
000298570500005
n4:zamer
n13:MSM6840770003
s:issn
0045-7825
s:numberOfPages
12
n21:doi
10.1016/j.cma.2011.09.003
n20:organizacniJednotka
21110