### Abstract

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

Pages (from-to) | 1573 - 1586 |

Number of pages | 14 |

Journal | Philosophical Magazine |

Volume | 95 |

Issue number | 14 |

DOIs | |

Publication status | Published - 13 May 2015 |

### Keywords

- Indentation
- Hardness
- Particle reinforced composite
- Particle-dominated depth
- Dimensional analysis
- Finite element analysis

### Cite this

*Philosophical Magazine*,

*95*(14), 1573 - 1586. https://doi.org/10.1080/14786435.2015.1040097

}

*Philosophical Magazine*, vol. 95, no. 14, pp. 1573 - 1586. https://doi.org/10.1080/14786435.2015.1040097

**Theoretical study on nanoindentation hardness measurement of a particle embedded in a matrix.** / Low, Teck Fei; Pun, Chung Lun Jerome; Yan, Wenyi.

Research output: Contribution to journal › Article › Research › peer-review

TY - JOUR

T1 - Theoretical study on nanoindentation hardness measurement of a particle embedded in a matrix

AU - Low, Teck Fei

AU - Pun, Chung Lun Jerome

AU - Yan, Wenyi

PY - 2015/5/13

Y1 - 2015/5/13

N2 - The finite element method was used to simulate indentation tests on a particle embedded in a matrix, to investigate the influence of the properties of the particle and the matrix, and the indentation depth on the measured hardness. The particles work-hardening exponent and the mismatch in particle and matrix yield strength have a significant influence on the measured hardness. A particle-dominated indentation depth was identified, within which the measured nanoindentation hardness agrees very well with the true hardness of the particle material. Numerical results from the simulations of a wide range of material properties determined that the measured hardness is within 5% difference of the particles true hardness when the indentation depth is less than 13.5 of the particles radius. The results can be used in practice as a guideline to measure the hardness of a particle embedded in a matrix and provides the theoretical basis to develop a particle-embedded method to measure the hardness of individual particles.

AB - The finite element method was used to simulate indentation tests on a particle embedded in a matrix, to investigate the influence of the properties of the particle and the matrix, and the indentation depth on the measured hardness. The particles work-hardening exponent and the mismatch in particle and matrix yield strength have a significant influence on the measured hardness. A particle-dominated indentation depth was identified, within which the measured nanoindentation hardness agrees very well with the true hardness of the particle material. Numerical results from the simulations of a wide range of material properties determined that the measured hardness is within 5% difference of the particles true hardness when the indentation depth is less than 13.5 of the particles radius. The results can be used in practice as a guideline to measure the hardness of a particle embedded in a matrix and provides the theoretical basis to develop a particle-embedded method to measure the hardness of individual particles.

KW - Indentation

KW - Hardness

KW - Particle reinforced composite

KW - Particle-dominated depth

KW - Dimensional analysis

KW - Finite element analysis

UR - http://www.tandfonline.com/doi/pdf/10.1080/14786435.2015.1040097

U2 - 10.1080/14786435.2015.1040097

DO - 10.1080/14786435.2015.1040097

M3 - Article

VL - 95

SP - 1573

EP - 1586

JO - Philosophical Magazine

JF - Philosophical Magazine

SN - 1478-6435

IS - 14

ER -