### Abstract

The phase distribution in a multi-phase material can affect its material properties and mechanical behaviors significantly. Because multi-phase materials even with the same volume fraction can have different phase distributions, a method to describe the phase distribution is needed. For this purpose, contiguity and low-order probability functions are investigated for representing the phase distributions of microstructures. The virtual samples for evaluating the mechanical properties of the two-phase materials with random phase distribution are reconstructed using the low-order probability functions (two-point correlation and lineal-path functions), and the mechanical behaviors are evaluated using the finite element method based on the restricted slip system. Macro-scale mechanical response (stress-strain curve) and lattice strains for sets of crystal families, as well as characteristics of the probability functions, are almost the same between the original and reconstructed virtual samples. It is confirmed that the virtual microstructures of random isotropic and anisotropic phase distributions reconstructed from the low-order probability functions exhibit high potential for investigating the mechanical behavior such as lattice stress and strains through simulations, which can be used to supplement diffraction experiments.

Original language | English |
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Pages (from-to) | 705-719 |

Number of pages | 15 |

Journal | Computational Materials Science |

Volume | 49 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2010 Oct 1 |

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### All Science Journal Classification (ASJC) codes

- Computer Science(all)
- Chemistry(all)
- Materials Science(all)
- Mechanics of Materials
- Physics and Astronomy(all)
- Computational Mathematics

### Cite this

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**Reconstruction of random two-phase polycrystalline solids using low-order probability functions and evaluation of mechanical behavior.** / Chung, Sang Yeop; Han, Tong Seok.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Reconstruction of random two-phase polycrystalline solids using low-order probability functions and evaluation of mechanical behavior

AU - Chung, Sang Yeop

AU - Han, Tong Seok

PY - 2010/10/1

Y1 - 2010/10/1

N2 - The phase distribution in a multi-phase material can affect its material properties and mechanical behaviors significantly. Because multi-phase materials even with the same volume fraction can have different phase distributions, a method to describe the phase distribution is needed. For this purpose, contiguity and low-order probability functions are investigated for representing the phase distributions of microstructures. The virtual samples for evaluating the mechanical properties of the two-phase materials with random phase distribution are reconstructed using the low-order probability functions (two-point correlation and lineal-path functions), and the mechanical behaviors are evaluated using the finite element method based on the restricted slip system. Macro-scale mechanical response (stress-strain curve) and lattice strains for sets of crystal families, as well as characteristics of the probability functions, are almost the same between the original and reconstructed virtual samples. It is confirmed that the virtual microstructures of random isotropic and anisotropic phase distributions reconstructed from the low-order probability functions exhibit high potential for investigating the mechanical behavior such as lattice stress and strains through simulations, which can be used to supplement diffraction experiments.

AB - The phase distribution in a multi-phase material can affect its material properties and mechanical behaviors significantly. Because multi-phase materials even with the same volume fraction can have different phase distributions, a method to describe the phase distribution is needed. For this purpose, contiguity and low-order probability functions are investigated for representing the phase distributions of microstructures. The virtual samples for evaluating the mechanical properties of the two-phase materials with random phase distribution are reconstructed using the low-order probability functions (two-point correlation and lineal-path functions), and the mechanical behaviors are evaluated using the finite element method based on the restricted slip system. Macro-scale mechanical response (stress-strain curve) and lattice strains for sets of crystal families, as well as characteristics of the probability functions, are almost the same between the original and reconstructed virtual samples. It is confirmed that the virtual microstructures of random isotropic and anisotropic phase distributions reconstructed from the low-order probability functions exhibit high potential for investigating the mechanical behavior such as lattice stress and strains through simulations, which can be used to supplement diffraction experiments.

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U2 - 10.1016/j.commatsci.2010.06.014

DO - 10.1016/j.commatsci.2010.06.014

M3 - Article

AN - SCOPUS:77955517957

VL - 49

SP - 705

EP - 719

JO - Computational Materials Science

JF - Computational Materials Science

SN - 0927-0256

IS - 4

ER -