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Statements

Subject Item
n2:RIV%2F49777513%3A23520%2F09%3A00501627%21RIV10-MSM-23520___
rdf:type
skos:Concept n18:Vysledek
dcterms:description
The homogenization theory in linear elasticity is applied to a periodic array of cylindrical inclusions in rectangular pattern extending to infinity in the inclusions axial direction, such that the deformation of tissue along this last direction is negligible. In the plane of deformation, the homogenization scheme is based on the average strain energy whereas in the third direction it is based on the average normal stress along this direction. Namely, these average quantities have to be the same on a Repeating Unit Cell (RUC) of heterogeneous and homogenized media when using a special form of boundary conditions forming by a periodic part and an affine part of displacement. It exits an infinity of RUCs generating the considered array. The computing procedure is tested with different choices of RUC to control that the results of the homogenization process are independent of the kind of RUC we employ. Then, the dependence of the homogenized coefficients on the microstructure can be studie The homogenization theory in linear elasticity is applied to a periodic array of cylindrical inclusions in rectangular pattern extending to infinity in the inclusions axial direction, such that the deformation of tissue along this last direction is negligible. In the plane of deformation, the homogenization scheme is based on the average strain energy whereas in the third direction it is based on the average normal stress along this direction. Namely, these average quantities have to be the same on a Repeating Unit Cell (RUC) of heterogeneous and homogenized media when using a special form of boundary conditions forming by a periodic part and an affine part of displacement. It exits an infinity of RUCs generating the considered array. The computing procedure is tested with different choices of RUC to control that the results of the homogenization process are independent of the kind of RUC we employ. Then, the dependence of the homogenized coefficients on the microstructure can be studie
dcterms:title
Numerical computing of elastic homogenized coefficients for periodic fibrous tissue Numerical computing of elastic homogenized coefficients for periodic fibrous tissue
skos:prefLabel
Numerical computing of elastic homogenized coefficients for periodic fibrous tissue Numerical computing of elastic homogenized coefficients for periodic fibrous tissue
skos:notation
RIV/49777513:23520/09:00501627!RIV10-MSM-23520___
n3:aktivita
n17:Z
n3:aktivity
Z(MSM4977751303)
n3:cisloPeriodika
1
n3:dodaniDat
n6:2010
n3:domaciTvurceVysledku
n12:7181418
n3:druhVysledku
n8:J
n3:duvernostUdaju
n16:S
n3:entitaPredkladatele
n13:predkladatel
n3:idSjednocenehoVysledku
330203
n3:idVysledku
RIV/49777513:23520/09:00501627
n3:jazykVysledku
n9:eng
n3:klicovaSlova
homogenization; elasticity; fibres; plane strain; Comsol Multiphysics modelling
n3:klicoveSlovo
n4:fibres n4:plane%20strain n4:Comsol%20Multiphysics%20modelling n4:elasticity n4:homogenization
n3:kodStatuVydavatele
CZ - Česká republika
n3:kontrolniKodProRIV
[AAC58C409FDA]
n3:nazevZdroje
Applied and Computational Mechanics
n3:obor
n15:JJ
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:rokUplatneniVysledku
n6:2009
n3:svazekPeriodika
3
n3:tvurceVysledku
Moravcová, Fanny Roman, Sophie
n3:zamer
n14:MSM4977751303
s:issn
1802-680X
s:numberOfPages
12
n11:organizacniJednotka
23520