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Updated: Jan 19, 2026

Determining the Mechanical Strength of Ultra-Fine-Grained Metals
Published on: November 22, 2021
Studying Grain Boundary Strengthening by Dislocation-Based Strain Gradient Crystal Plasticity Coupled with a
Waseem Amin1,2, Muhammad Adil Ali3, Napat Vajragupta4
1Interdisciplinary Center for Advanced Materials Simulation (ICAMS), Ruhr-Universität Bochum, Universitätsstr. 150, 44801 Bochum, Germany. waseem.amin@rub.de.
Integrated Computational Materials Engineering (ICME) uses phase field (PF) modeling to simulate plastic deformation and predict microstructural evolution. This study shows PF models can capture the Hall-Petch effect, relating flow stress to grain size in polycrystals.
Area of Science:
- Materials Science
- Computational Materials Engineering
- Materials Simulation
Background:
- Integrated Computational Materials Engineering (ICME) aims to accelerate materials development through simulations.
- Predicting microstructural evolution and its impact on mechanical properties is crucial.
- The Phase Field (PF) method is a promising tool for simulating microstructural changes under stimuli like deformation.
Purpose of the Study:
- To investigate the influence of grain size on polycrystal mechanical behavior using a novel computational model.
- To assess the capability of a dislocation-based strain gradient crystal plasticity model within a PF framework.
- To explore size effects in materials at the micron length scale.
Main Methods:
- Developed quasi-2D simulations of plastic deformation in a face-centered cubic system.
- Implemented a finite strain formulation combining dislocation-based strain gradient crystal plasticity with a PF code.
- Applied the model to study polycrystals, considering dislocation storage, annihilation, and initial material state.
Main Results:
- The model successfully captured the Hall-Petch effect, showing the relationship between flow stress and grain size.
- The functional dependence of flow stress on grain size was reproduced without special grain boundary properties.
- Predicted Hall-Petch coefficients were smaller than experimental values, but qualitative agreement was good.
Conclusions:
- Dislocation-based strain gradient crystal plasticity models integrated with PF simulations are effective for studying microstructural evolution and mechanical behavior.
- The model provides valuable insights into size effects and the Hall-Petch relationship in polycrystals.
- Further refinement may be needed to match experimental Hall-Petch coefficients precisely.
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