### Abstract

The sintering stress is defined for viscous sintering, where the deformation of particles takes place, and its magnitude is computed by the viscoplastic finite element method using a micromechanical model. The computed sintering stress is compared with existing models for other sintering mechanisms. Although modelling of the sintering process is different, a similar tendency of the change in sintering stress with densification is observed. The influence of the sintering mechanism on the sintering stress is discussed. A constitutive law is developed by introducing the sintering stress, approximated by a simple equation, into the constitutive equation for viscous porous materials and applied to the sintering of polycrystalline materials. Grain boundary diffusion and grain growth are taken into consideration through the viscosity in the constitutive equation. The sintering curve calculated by the constitutive equation shows good agreement with the experimental data.

Original language | English |
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Pages (from-to) | 276-285 |

Number of pages | 10 |

Journal | Computational Materials Science |

Volume | 13 |

Issue number | 4 |

Publication status | Published - Jan 1999 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Materials Science(all)

### Cite this

**Micromechanical modelling of viscous sintering and a constitutive equation with sintering stress.** / Shinagawa, Kazunari.

Research output: Contribution to journal › Article

*Computational Materials Science*, vol. 13, no. 4, pp. 276-285.

}

TY - JOUR

T1 - Micromechanical modelling of viscous sintering and a constitutive equation with sintering stress

AU - Shinagawa, Kazunari

PY - 1999/1

Y1 - 1999/1

N2 - The sintering stress is defined for viscous sintering, where the deformation of particles takes place, and its magnitude is computed by the viscoplastic finite element method using a micromechanical model. The computed sintering stress is compared with existing models for other sintering mechanisms. Although modelling of the sintering process is different, a similar tendency of the change in sintering stress with densification is observed. The influence of the sintering mechanism on the sintering stress is discussed. A constitutive law is developed by introducing the sintering stress, approximated by a simple equation, into the constitutive equation for viscous porous materials and applied to the sintering of polycrystalline materials. Grain boundary diffusion and grain growth are taken into consideration through the viscosity in the constitutive equation. The sintering curve calculated by the constitutive equation shows good agreement with the experimental data.

AB - The sintering stress is defined for viscous sintering, where the deformation of particles takes place, and its magnitude is computed by the viscoplastic finite element method using a micromechanical model. The computed sintering stress is compared with existing models for other sintering mechanisms. Although modelling of the sintering process is different, a similar tendency of the change in sintering stress with densification is observed. The influence of the sintering mechanism on the sintering stress is discussed. A constitutive law is developed by introducing the sintering stress, approximated by a simple equation, into the constitutive equation for viscous porous materials and applied to the sintering of polycrystalline materials. Grain boundary diffusion and grain growth are taken into consideration through the viscosity in the constitutive equation. The sintering curve calculated by the constitutive equation shows good agreement with the experimental data.

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UR - http://www.scopus.com/inward/citedby.url?scp=0000476898&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0000476898

VL - 13

SP - 276

EP - 285

JO - Computational Materials Science

JF - Computational Materials Science

SN - 0927-0256

IS - 4

ER -