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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:
55
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 25 (2020)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 24 (2019)
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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)
- International Journal of Applied Mechanics and Engineering (IJAME), volume 22, number 1 (2017) - Contents
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- A numerical analysis of selected elastic-plastic fracture parameters for DEN(T) plates under plane strain conditions
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- Hall effects on isothermal vertical plate with uniform mass diffusion in the presence of rotating fluid and chemical reaction of first order
- Mixed convective fully developed flow in a vertical channel in the presence of thermal radiation and viscous dissipation
- Unsteady MHD heat transfer in couette flow of water at 4 [degrees] C in a rotating system with ramped temperature via finite element method
- A effect of rotation in an orthotropic elastic slab
- Bridges for pedestrians with random parameters using the stochastic finite elements analysis
- On the uniqueness conditions and bifurcation criteria in coupled thermo-elasto-plasticity
- Analysis of parallelogram mechanism used to preserve remote center of motion for surgical telemanipulator
- Study of CPM device used for rehabilitation and effective pain management following knee alloplasty
- Similarity solutions on mixed convection heat transfer from a horizontal surface saturated in a porous medium with internal heat generation
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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 3 (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 22, number 1 (2017)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 21 (2016)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 20 (2015)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 19 (2014)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 18 (2013)
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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 |
