### Abstract

We attempted to calculate the breakaway stress σ_{b} of dislocation from attractive junction made by reaction of dislocations. Assuming that the force f acting on the unit length of dislocation with the Burgers vector B under a shear stress τ_{a} is f = τ_{a}b″| where b″ is the phonon component of B, and that the elastic energy per unit length of dislocation W is approximated by W = G(|b″|^{2} + c_{2}b^{|perp;}|^{2}) where G is the shear modulus, b^{⊥} the phason component of B and c_{2} a coefficient of about 3.1 × 10^{-3}. Using the values G = 48.4 GPa at 1070 K, the Taylor factor M = 3 and the measured dislocation density of 1.8 × 10^{13} m^{-2}, we calculated σ_{b} for 21 possible dislocation reactions. Picking up the most possible dislocation reactions, σ_{b} distributed between 50 and 80 MPa, and the average of them was 64 MPa. This result strongly suggested the possibility that the main part of the internal stress of the high-temperature deformation of icosahedral Al-Pd-Mn is explained by σ_{b}.

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

Pages (from-to) | K9141-K9146 |

Journal | Materials Research Society Symposium - Proceedings |

Volume | 643 |

Publication status | Published - Jan 1 2001 |

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### All Science Journal Classification (ASJC) codes

- Materials Science(all)
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering

### Cite this

*Materials Research Society Symposium - Proceedings*,

*643*, K9141-K9146.

**Estimation of back stress produced by dislocation interaction in icosahedral Al-Pd-Mn.** / Hirai, Hisatoshi; Kitahara, Akira; Yoshida, Fuyuki; Nakashima, Hideharu.

Research output: Contribution to journal › Article

*Materials Research Society Symposium - Proceedings*, vol. 643, pp. K9141-K9146.

}

TY - JOUR

T1 - Estimation of back stress produced by dislocation interaction in icosahedral Al-Pd-Mn

AU - Hirai, Hisatoshi

AU - Kitahara, Akira

AU - Yoshida, Fuyuki

AU - Nakashima, Hideharu

PY - 2001/1/1

Y1 - 2001/1/1

N2 - We attempted to calculate the breakaway stress σb of dislocation from attractive junction made by reaction of dislocations. Assuming that the force f acting on the unit length of dislocation with the Burgers vector B under a shear stress τa is f = τab″| where b″ is the phonon component of B, and that the elastic energy per unit length of dislocation W is approximated by W = G(|b″|2 + c2b|perp;|2) where G is the shear modulus, b⊥ the phason component of B and c2 a coefficient of about 3.1 × 10-3. Using the values G = 48.4 GPa at 1070 K, the Taylor factor M = 3 and the measured dislocation density of 1.8 × 1013 m-2, we calculated σb for 21 possible dislocation reactions. Picking up the most possible dislocation reactions, σb distributed between 50 and 80 MPa, and the average of them was 64 MPa. This result strongly suggested the possibility that the main part of the internal stress of the high-temperature deformation of icosahedral Al-Pd-Mn is explained by σb.

AB - We attempted to calculate the breakaway stress σb of dislocation from attractive junction made by reaction of dislocations. Assuming that the force f acting on the unit length of dislocation with the Burgers vector B under a shear stress τa is f = τab″| where b″ is the phonon component of B, and that the elastic energy per unit length of dislocation W is approximated by W = G(|b″|2 + c2b|perp;|2) where G is the shear modulus, b⊥ the phason component of B and c2 a coefficient of about 3.1 × 10-3. Using the values G = 48.4 GPa at 1070 K, the Taylor factor M = 3 and the measured dislocation density of 1.8 × 1013 m-2, we calculated σb for 21 possible dislocation reactions. Picking up the most possible dislocation reactions, σb distributed between 50 and 80 MPa, and the average of them was 64 MPa. This result strongly suggested the possibility that the main part of the internal stress of the high-temperature deformation of icosahedral Al-Pd-Mn is explained by σb.

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UR - http://www.scopus.com/inward/citedby.url?scp=0035558471&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0035558471

VL - 643

SP - K9141-K9146

JO - Materials Research Society Symposium - Proceedings

JF - Materials Research Society Symposium - Proceedings

SN - 0272-9172

ER -