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Statements

Subject Item
n2:RIV%2F68378297%3A_____%2F11%3A00360074%21RIV12-AV0-68378297
rdf:type
skos:Concept n13:Vysledek
dcterms:description
The starting point in the geometrical setting of solid mechanics is to represent deformation process of a solid body as a trajectory in a convenient space with Riemannian geometry, and then to use the corresponding tools for its analysis. Based on virtual power of internal stresses, we show that such a configuration space is the (globally) symmetric space of symmetric positive-definite real matrices. From this unifying point of view, we shall analyse the logarithmic strain, the stress rate, as well as linearization and intrinsic integration of corresponding evolution equation. The starting point in the geometrical setting of solid mechanics is to represent deformation process of a solid body as a trajectory in a convenient space with Riemannian geometry, and then to use the corresponding tools for its analysis. Based on virtual power of internal stresses, we show that such a configuration space is the (globally) symmetric space of symmetric positive-definite real matrices. From this unifying point of view, we shall analyse the logarithmic strain, the stress rate, as well as linearization and intrinsic integration of corresponding evolution equation.
dcterms:title
Geometrical setting of solid mechanics Geometrical setting of solid mechanics
skos:prefLabel
Geometrical setting of solid mechanics Geometrical setting of solid mechanics
skos:notation
RIV/68378297:_____/11:00360074!RIV12-AV0-68378297
n13:predkladatel
n14:ico%3A68378297
n3:aktivita
n19:P n19:Z
n3:aktivity
P(GA103/09/2101), Z(AV0Z20710524)
n3:cisloPeriodika
8
n3:dodaniDat
n5:2012
n3:domaciTvurceVysledku
n15:2530600
n3:druhVysledku
n16:J
n3:duvernostUdaju
n20:S
n3:entitaPredkladatele
n10:predkladatel
n3:idSjednocenehoVysledku
201167
n3:idVysledku
RIV/68378297:_____/11:00360074
n3:jazykVysledku
n17:eng
n3:klicovaSlova
solid mechanics; Lagrangian system; time-discrete approximation
n3:klicoveSlovo
n4:time-discrete%20approximation n4:solid%20mechanics n4:Lagrangian%20system
n3:kodStatuVydavatele
NL - Nizozemsko
n3:kontrolniKodProRIV
[D4E719D0F994]
n3:nazevZdroje
Annals of Physics
n3:obor
n8:BE
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n18:GA103%2F09%2F2101
n3:rokUplatneniVysledku
n5:2011
n3:svazekPeriodika
326
n3:tvurceVysledku
Fiala, Zdeněk
n3:wos
000291910800008
n3:zamer
n6:AV0Z20710524
s:issn
0003-4916
s:numberOfPages
15
n12:doi
10.1016/j.aop.2011.02.010