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Title: On the uniqueness conditions and bifurcation criteria in coupled thermo-elasto-plasticity
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Abstract:
The global and local conditions of uniqueness and the criteria excluding a possibility of bifurcation of the equilibrium state for small strains are derived. The conditions and criteria are derived analyzing the problem of uniqueness of solution of the basic incremental boundary problem of coupled generalized thermo-elasto-plasticity. This paper is a continuation of some previous works by the author, but contains new derivation of the global and local criteria excluding a possibility of bifurcation of the equilibrium state for a comparison body dependent on statically admissible fields of stress velocity. ; All the thermal elastoplastic coupling effects, non-associated laws of plastic flow and influence of plastic strains on thermoplastic properties of a body were taken into account in this work. Thus, the mathematical problem considered here is not a self-conjugated problem. The paper contains four Appendices A, B, C and D where the local necessery and sufficient conditions of uniqueness have been derived.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
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Source:
IJAME, volume 22, number 1 (2017)
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License CC BY-NC-ND 4.0:
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Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Mechanical Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mechanics and Engineering (IJAME)
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mechanics and Engineering (IJAME) > International Journal of Applied Mechanics and Engineering (IJAME) (2017)
Last modified:
Jul 6, 2023
In our library since:
Apr 4, 2023
Number of object content hits:
34
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/80240
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International Journal of Applied Mechanics and Engineering (IJAME)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 23 (2018)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 22 (2017)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 22, number 1 (2017)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 22, number 2 (2017)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 22, number 4 (2017)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 29 (2024)
| Edition name | Date |
|---|---|
| On the uniqueness conditions and bifurcation criteria in coupled thermo-elasto-plasticity | Jul 6, 2023 |
