Rate type hypoplastic differential equations under mixed stress-strain control in biaxial test

0582250 - MÚ 2024 RIV TW eng C - Konferenční příspěvek (zahraniční konf.)
Bauer, E. - Kovtunenko, V. A. - Krejčí, Pavel - Monteiro, Giselle Antunes
Rate type hypoplastic differential equations under mixed stress-strain control in biaxial test.
Proceedings of the International Conference Modern Achievements in Symmetries of Differential Equations (Symmetry 2022). Nakhon Ratchasima: Suranaree University of Technology, 2022 - (Schulz, E.; Moyo, S.; Meleshko, S.), s. 59-68
[Modern Achievements in Symmetries of Differential Equations (Symmetry 2022). Nakhon Ratchasima (TW), 13.12.2022-16.12.2022]
Grant CEP: GA ČR(CZ) GA20-14736S
Institucionální podpora: RVO:67985840
Klíčová slova: hypoplasticity * rate-independent system * implicit differential equation * non-uniqueness
Obor OECD: Pure mathematics
https://static.uni-graz.at/fileadmin/_Persoenliche_Webseite/kovtunenko_victor/symmetry22_kovtunenko.pdf

The hypoplastic constitutive equations stemming from soil mechanics, which are under mixed stress-strain control carried out in a biaxial test, are studied with respect to its wellposedness and non-uniqueness of a solution. The result of theoretical investigation of the strongly nonlinear dynamic system is supported by computer simulation of numerical tests. Besides investigating the existence of global solutions, the simulations give an insight about the numerical convergence and validate the physical consistency of the system of equations when data is chosen in a domain of parameters satisfying feasibility conditions.
Trvalý link: https://hdl.handle.net/11104/0350341