### Abstract

The inverse analysis method is newly developed to determine the elastic stiffness tensor and the crystallographic orientation simultaneously for cubic crystal nickel from the measured angular distribution of surface wave velocity by acoustic spectro-microscopy. In the experiment, the angular dispersion of Rayleigh surface wave velocity was measured for six grains. For each grain, the inverse analysis was iteratively performed to deduce both the elastic constants and the crystallographic orientation, which finally provided the best-fitted theoretical dispersion curve to the original measured one. The obtained average elastic stiffness constants for nickel are: C_{11}=245 GPa, C_{12}=152 GPa and C_{44}=124 GPa. The maximum relative error of C_{ij}'s was less than 5% among six grains. The crystallographic orientations {α, β, γ} were obtained with the maximum absolute error less than 1°. Sensitivity evaluation of the present inverse analysis to disturbance in C_{ij} and {α, β, γ} was also made to demonstrate robustness of our developed procedure for practical use.

Original language | English |
---|---|

Pages (from-to) | 536-545 |

Number of pages | 10 |

Journal | materials transactions, jim |

Volume | 38 |

Issue number | 6 |

Publication status | Published - 1997 Jun |

Externally published | Yes |

### Fingerprint

### Keywords

- Acoustic spectro-microscopy
- Crystallographic orientation
- Cubic material
- Elastic constant
- Inverse analysis
- Nickel
- Powell least-square fitting method
- Pseudo-surface wave
- Rayleigh critical angle
- Rayleigh surface wave

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*materials transactions, jim*,

*38*(6), 536-545.

**Simultaneous determination of elastic constants and crystallographic orientation in coarse-grained nickel by acoustic spectro-microscopy.** / Xu, Yang; Aizawa, Tatsuhiko; Kihara, Junji.

Research output: Contribution to journal › Article

*materials transactions, jim*, vol. 38, no. 6, pp. 536-545.

}

TY - JOUR

T1 - Simultaneous determination of elastic constants and crystallographic orientation in coarse-grained nickel by acoustic spectro-microscopy

AU - Xu, Yang

AU - Aizawa, Tatsuhiko

AU - Kihara, Junji

PY - 1997/6

Y1 - 1997/6

N2 - The inverse analysis method is newly developed to determine the elastic stiffness tensor and the crystallographic orientation simultaneously for cubic crystal nickel from the measured angular distribution of surface wave velocity by acoustic spectro-microscopy. In the experiment, the angular dispersion of Rayleigh surface wave velocity was measured for six grains. For each grain, the inverse analysis was iteratively performed to deduce both the elastic constants and the crystallographic orientation, which finally provided the best-fitted theoretical dispersion curve to the original measured one. The obtained average elastic stiffness constants for nickel are: C11=245 GPa, C12=152 GPa and C44=124 GPa. The maximum relative error of Cij's was less than 5% among six grains. The crystallographic orientations {α, β, γ} were obtained with the maximum absolute error less than 1°. Sensitivity evaluation of the present inverse analysis to disturbance in Cij and {α, β, γ} was also made to demonstrate robustness of our developed procedure for practical use.

AB - The inverse analysis method is newly developed to determine the elastic stiffness tensor and the crystallographic orientation simultaneously for cubic crystal nickel from the measured angular distribution of surface wave velocity by acoustic spectro-microscopy. In the experiment, the angular dispersion of Rayleigh surface wave velocity was measured for six grains. For each grain, the inverse analysis was iteratively performed to deduce both the elastic constants and the crystallographic orientation, which finally provided the best-fitted theoretical dispersion curve to the original measured one. The obtained average elastic stiffness constants for nickel are: C11=245 GPa, C12=152 GPa and C44=124 GPa. The maximum relative error of Cij's was less than 5% among six grains. The crystallographic orientations {α, β, γ} were obtained with the maximum absolute error less than 1°. Sensitivity evaluation of the present inverse analysis to disturbance in Cij and {α, β, γ} was also made to demonstrate robustness of our developed procedure for practical use.

KW - Acoustic spectro-microscopy

KW - Crystallographic orientation

KW - Cubic material

KW - Elastic constant

KW - Inverse analysis

KW - Nickel

KW - Powell least-square fitting method

KW - Pseudo-surface wave

KW - Rayleigh critical angle

KW - Rayleigh surface wave

UR - http://www.scopus.com/inward/record.url?scp=0031170646&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031170646&partnerID=8YFLogxK

M3 - Article

VL - 38

SP - 536

EP - 545

JO - Materials Transactions

JF - Materials Transactions

SN - 1345-9678

IS - 6

ER -