Document Type
Article
Publication Date
11-15-2020
Abstract
The Hall-Petch relationship in metals is investigated using the strain gradient plasticity theory within the finite deformation framework. For this purpose, the thermodynamically consistent constitutive formulation for the coupled thermomechanical gradient-enhanced plasticity model is developed. The corresponding finite element method is performed to investigate the characteristics of the Hall-Petch relationship in metals. The proposed model is established based on an extra Helmholtz-type partial differential equation, and the nonlocal quantity is calculated in a coupled method based on the equilibrium conditions. An excellent agreement between the simulation results and the test data is resulted in the Hall-Petch graph. Furthermore, it is observed that the Hall-Petch constants do not remain unchanged but vary with the strain level.
Recommended Citation
Song, Y. (2020). Investigation of the Hall-Petch Relationship Using Strain Gradient Plasticity Model for Finite Deformation Framework. Journal of Materials and Applications, 9(2), 55–69. https://doi.org/10.32732/jma.2020.9.2.55
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
First Page
55
Last Page
69
Publication Title
Journal of Materials and Applications
DOI
10.32732/jma.2020.9.2.55
Comments
© 2020 The Author. Original published version available at https://doi.org/10.32732/jma.2020.9.2.55