Internal variables as a tool for microstructure influence modeling
1.
SYSNO ASEP
0518689
Document Type
A - Abstract
R&D Document Type
O - Ostatní
Title
Internal variables as a tool for microstructure influence modeling
Author(s)
Berezovski, Arkadi (UT-L)
Number of authors
1
Source Title
Modelling 2019, Book of absracts. - Ostrava : Institute of Geonics of the Czech Academy of Sciences, 2019 / Blaheta R. ; Starý J. ; Sysala S.
- ISBN 978-80-86407-79-1
S. 132-132
Number of pages
1 s.
Publication form
Print - P
Action
Modelling 2019: International conference on mathematical modelling and computational methods in applied sciences and engineering
EF15_003/0000493 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
GA19-04956S GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
Institutional support
UT-L - RVO:61388998
Annotation
Various models of generalized continua can be represented as internal variable models. Among them second gradient elasticity, phase field models, and micromorphic theory are most known. In the paper, a general outlook of internal variable theory is presented. It is based on the thermo-dynamically consistent concept of dual internal variables. It should be noted that the formalism of internal variables can be applied to the description of both for conservative and for dissipative processes. The evolution equations for internal variables are derived as a consequence of the dissipation inequality. This provides the flexibility and constraints of developed models. The advantage of internal variables model is demonstrated by the comparison with the direct numerical solution of pulse propagation in one-dimensional setting.
Workplace
Institute of Thermomechanics
Contact
Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823
Year of Publishing
2020
Number of the records: 1
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