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Geometrical setting of solid mechanics

SYSNO ASEP	0360074
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Geometrical setting of solid mechanics
Author(s)	Fiala, Zdeněk (UTAM-F)_{RID, ORCID, SAI}
Number of authors	1
Source Title	Annals of Physics. - : Elsevier - ISSN 0003-4916 Roč. 326, č. 8 (2011), s. 1983-1997
Number of pages	15 s.
Publication form	on-line www - on-line www
Language	eng - English
Country	NL - Netherlands
Keywords	solid mechanics ; Lagrangian system ; time-discrete approximation
Subject RIV	BE - Theoretical Physics
R&D Projects	GA103/09/2101 GA ČR - Czech Science Foundation (CSF)
CEZ	AV0Z20710524 - UTAM-F (2005-2011)
UT WOS	000291910800008
EID SCOPUS	79957988148
DOI	10.1016/j.aop.2011.02.010
Annotation	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.
Workplace	Institute of Theoretical and Applied Mechanics
Contact	Kulawiecová Kateřina, kulawiecova@itam.cas.cz, Tel.: 225 443 285
Year of Publishing	2012

Number of the records: 1