Geometrical setting of solid mechanics

Result code in IS VaVaI

RIV/68378297:_____/11:00360074 - isvavai.cz

Result on the web

http://dx.doi.org/10.1016/j.aop.2011.02.010

DOI - Digital Object Identifier

10.1016/j.aop.2011.02.010

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

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

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Project

GA103/09/2101: Evaluation of the energy responsible for fracture advancing

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

Name of the periodical

Annals of Physics

ISSN

0003-4916

e-ISSN

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Volume of the periodical

326

Issue of the periodical within the volume

8

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

15

Pages from-to

1983-1997

UT code for WoS article

000291910800008

EID of the result in the Scopus database

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