About: Geometrical setting of solid mechanics

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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. (en)
Title	Geometrical setting of solid mechanics Geometrical setting of solid mechanics (en)
skos:prefLabel	Geometrical setting of solid mechanics Geometrical setting of solid mechanics (en)
skos:notation	RIV/68378297:_____/11:00360074!RIV12-AV0-68378297
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA103/09/2101), Z(AV0Z20710524)
http://linked.open...iv/cisloPeriodika	8
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Fiala, Zdeněk
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav teoretické a aplikované mechaniky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	201167
http://linked.open...ai/riv/idVysledku	RIV/68378297:_____/11:00360074
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	solid mechanics; Lagrangian system; time-discrete approximation (en)
http://linked.open.../riv/klicoveSlovo	Lagrangian system solid mechanics time-discrete approximation
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[D4E719D0F994]
http://linked.open...i/riv/nazevZdroje	Annals of Physics
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Evaluation of the energy responsible for fracture advancing
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	326
http://linked.open...iv/tvurceVysledku	Fiala, Zdeněk
http://linked.open...ain/vavai/riv/wos	000291910800008
http://linked.open...n/vavai/riv/zamer	Time dependent response of materials, systems and environments on natural and human actions
issn	0003-4916
number of pages	15 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.aop.2011.02.010

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