- Tytuł:
- On the uniqueness conditions and bifurcation criteria in coupled thermo-elasto-plasticity
- Autorzy:
- Śloderbach, Z.
- Powiązania:
- https://bibliotekanauki.pl/articles/266253.pdf
- Data publikacji:
- 2017
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
bifurcation of the equilibrium state
conditions and criteria of uniqueness
boundary-value problem
generalized coupled thermo-elasto-plasticity
comparison bodies
family of local conditions of uniqueness
parameter of the optimization
termoplastyczność
elastoplastyczność
odkształcenie plastyczne - Opis:
- 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.
- Źródło:
-
International Journal of Applied Mechanics and Engineering; 2017, 22, 1; 199-227
1734-4492
2353-9003 - Pojawia się w:
- International Journal of Applied Mechanics and Engineering
- Dostawca treści:
- Biblioteka Nauki
Artykuł