Open AccessInvestigation of the Hall-Petch Relationship Using Strain Gradient Plasticity Model for Finite Deformation Framework
Author(s) -
Yooseob Song
Publication year - 2020
Publication title -
journal of materials and applications
Language(s) - English
Resource type - Journals
eISSN - 2051-7750
pISSN - 2051-7742
DOI - 10.32732/jma.2020.9.2.55
Subject(s) - plasticity , finite element method , materials science , deformation (meteorology) , helmholtz free energy , constitutive equation , strain (injury) , finite strain theory , grain boundary strengthening , condensed matter physics , mechanics , physics , composite material , thermodynamics , grain boundary , microstructure , medicine
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.