Geometrical setting of solid mechanics

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378297%3A_____%2F11%3A00360074" target="_blank" >RIV/68378297:_____/11:00360074 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.aop.2011.02.010" target="_blank" >http://dx.doi.org/10.1016/j.aop.2011.02.010</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aop.2011.02.010" target="_blank" >10.1016/j.aop.2011.02.010</a>

Result language
angličtina
Original language name
Geometrical setting of solid mechanics
Original language 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.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
—

Project
<a href="/en/project/GA103%2F09%2F2101" target="_blank" >GA103/09/2101: Evaluation of the energy responsible for fracture advancing</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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