Burgers tensor flow accounting for cold work and thermal annealing
| Autor: | Borokinni A.S., Fadodun O.O., Olokuntoye B.A., Layeni O.P., Akinola A.P. |
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| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Theoretical and Applied Mechanics, Vol 51, Iss 1, Pp 39-56 (2024) |
| Druh dokumentu: | article |
| ISSN: | 1450-5584 2406-0925 |
| DOI: | 10.2298/TAM240201003B |
| Popis: | This paper proposes a kinematical-thermal-based constitutive law for the evolution of Burgers tensor during cold work and upon subsequent thermal annealing of a polycrystalline. The proposal is based on the paper by Anand et al. [L. Anand., M. E. Gurtin., B. D. Reddy, The stored energy of cold work, thermal annealing, and other thermodynamic issues in single crystal plasticity at small length scales, Int. J. Plast. 64 (2015), 1–25]. The principle of virtual work and thermodynamic laws are employed to obtain balance of forces, balance of energy, and free-energy imbalance. Non-recoverable energetic microscopic stresses are obtained as features for materials that are cold-worked whenever the defect energy is dependent on Burgers tensor. Consequently, it is observed that internal-energetic plastic power is not less than entropic plastic power. The recovery rate during thermal annealing is shown to mimic dissipative behavior, leading to a reduction in the accumulation of dislocation densities. Furthermore, the free energy function –approximated as a quadratic form– is used to obtain the constitutive relations for the macroscopic and microscopic stresses. |
| Databáze: | Directory of Open Access Journals |
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