Quantitative re-examination of Taylor model for FCC polycrystals
| Autor: | Yuichi Tadano, Hirohisa Noguchi, Mitsutoshi Kuroda |
|---|---|
| Rok vydání: | 2012 |
| Předmět: |
Materials science
General Computer Science Constitutive equation Mathematical analysis General Physics and Astronomy General Chemistry Taylor models Homogenization (chemistry) Finite element method Crystal Condensed Matter::Materials Science Computational Mathematics Crystallography Mechanics of Materials Representative elementary volume General Materials Science Boundary value problem Crystallite |
| Zdroj: | Computational Materials Science. 51:290-302 |
| ISSN: | 0927-0256 |
| DOI: | 10.1016/j.commatsci.2011.07.024 |
| Popis: | The quantitative adequacy of the Taylor model for representing the behaviors of FCC polycrystals is discussed through comparison with crystal plasticity analysis using the homogenization-based finite method. The key element of the crystal plasticity theory is the constitutive relation for single crystals. The most classical way to apply it to polycrystals is the Taylor model. This model assumes that all crystal grains in a crystal aggregate are subjected to the same strain under macroscopically uniform deformation. This assumption provides a solution satisfying the continuity of displacement between crystal grains. The effect and evolution of the crystallographic texture can easily be taken into account. However, the assumption of uniform strain, the main idea in the Taylor model, has never been validated quantitatively. On the other hand, the homogenization-based finite element method can represent arbitrary microscopic deformations, i.e., each crystal grain may have nonuniform deformation, and can provide a material response under more realistic boundary conditions. In this paper, we first determine the appropriate size for the representative volume element (RVE) in the homogenization-based finite element method that can represent the macroscopic polycrystalline behavior of FCC. After that, the polycrystalline behaviors obtained using the Taylor model are compared with those obtained using the homogenization-based finite element method. Finally, the quantitative adequacy of the Taylor model is discussed. It is clarified that the Taylor model is qualitatively consistent with the homogenization-based finite element method and can be used as a practical model of polycrystalline FCC metals for a first-order approximation, although it is not quantitatively reasonable even for FCC metals. |
| Databáze: | OpenAIRE |
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