Internal variables as a tool for microstructure influence modeling

0518689 - ÚT 2020 RIV CZ eng A - Abstract
Berezovski, Arkadi
Internal variables as a tool for microstructure influence modeling.
Modelling 2019. Ostrava: Institute of Geonics of the Czech Academy of Sciences, 2019 - (Blaheta, R.; Starý, J.; Sysala, S.). s. 132-132. ISBN 978-80-86407-79-1.
[Modelling 2019: International conference on mathematical modelling and computational methods in applied sciences and engineering. 16.09.2019-20.09.2019, Olomouc]
R&D Projects: GA MŠMT(CZ) EF15_003/0000493; GA AV ČR(CZ) GA19-04956S
Institutional support: RVO:61388998
Keywords : wave propagation * microstructure * internal variables
OECD category: Applied mechanics

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.
Permanent Link: http://hdl.handle.net/11104/0304528