Strongly-coupled multi-scale simulations of polycrystalline solids, in which information between scales is transferred on-the-fly as needed, have gained attention as the scientific computing environment improves. Such simulations are performed combining the benefits from different scales to understand and predict the behavior of polycrystalline solids. In this research, two issues in averaging the crystal scale behavior used for the continuum scale calculation are investigated. First, the volume average polycrystal stress is compared with the surface average polycrystal stress at a material point in the continuum scale. Second, the accuracy of using the volume average polycrystal stiffness as a material stiffness in the continuum scale is investigated. The comparisons are carried out for simulation results from coupon-like specimens of two-phase polycrystalline materials under uniaxial tension. Results show that the approximate volume average stiffness and stress at the crystal scale provides adequate accuracy.
Bibliographical noteFunding Information:
The author would like to convey sincere gratitude to Prof. Paul R. Dawson at Cornell University for stimulating insights and discussions related to this research. This work was supported by the Korea Research Foundation Grant funded by the Korean Government (MOEHRD) KRF-2007-331-D00009, in which parallel finite element calculations were performed by using the supercomputing resource of the Korean Institute of Science and Technology Information (KISTI).
All Science Journal Classification (ASJC) codes
- Computer Science(all)
- Materials Science(all)
- Mechanics of Materials
- Physics and Astronomy(all)
- Computational Mathematics