Particle-based approach to the Eulerian distortion field and its dynamics
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F23%3A00374138" target="_blank" >RIV/68407700:21340/23:00374138 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00161-023-01219-7" target="_blank" >https://doi.org/10.1007/s00161-023-01219-7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00161-023-01219-7" target="_blank" >10.1007/s00161-023-01219-7</a>
Alternative languages
Result language
angličtina
Original language name
Particle-based approach to the Eulerian distortion field and its dynamics
Original language description
The Eulerian distortion field is an essential ingredient for the continuum modeling of finite elastic and inelastic deformations of materials; however, its relation to finer levels of description has not yet been established. This paper provides a definition of the Eulerian distortion field in terms of the arrangement of the constituent microscopic particles, which is beneficial for fundamental studies as well as for the analysis of computer simulations, e.g., molecular dynamics simulations. Using coarse graining and nonequilibrium thermodynamics, the dynamics of the Eulerian distortion field is examined in detail and related to the underlying dynamics of the particles. First, the usual kinematics of the distortion and the known expression for the Cauchy stress tensor are recovered. And second, it is found that the Mandel stress and the plastic deformation-rate tensor in the natural configuration constitute the relevant force-flux pair for the relaxation of the distortion. Finally, the procedure is illustrated on two examples, namely on an amorphous solid and on a crystalline solid with one slip system.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Continuum Mechanics and Thermodynamics
ISSN
0935-1175
e-ISSN
1432-0959
Volume of the periodical
35
Issue of the periodical within the volume
5
Country of publishing house
DE - GERMANY
Number of pages
25
Pages from-to
1943-1967
UT code for WoS article
000973209900001
EID of the result in the Scopus database
2-s2.0-85153059812