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Burgers tensor flow accounting for cold work and thermal annealing
A. S. Borokinni, O. O. Fadodun, B. A. Olokuntoye, O. P. Layeni, A. P. Akinola Department of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria
Аннотация:
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.
Ключевые слова:
gradient plasticity, cold work, Burgers tensor, recovery rate, non-recoverable free energy.
Поступила в редакцию: 01.02.2024 Принята в печать: 20.03.2024
Образец цитирования:
A. S. Borokinni, O. O. Fadodun, B. A. Olokuntoye, O. P. Layeni, A. P. Akinola, “Burgers tensor flow accounting for cold work and thermal annealing”, Theor. Appl. Mech., 51:1 (2024), 39–56
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/tam141 https://www.mathnet.ru/rus/tam/v51/i1/p39
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Страница аннотации: | 33 | PDF полного текста: | 18 | Список литературы: | 17 |
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