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

Hisatoshi Hirai, Akira Kitahara, Fuyuki Yoshida, Hideharu Nakashima

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Pages (from-to)K9141-K9146
JournalMaterials Research Society Symposium - Proceedings
Volume643
Publication statusPublished - Jan 1 2001

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Burgers vector
Dislocations (crystals)
Shear stress
Residual stresses
Elastic moduli
interactions
Temperature
boundary layer separation
shear stress
residual stress
shear
coefficients

All Science Journal Classification (ASJC) codes

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

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

In: Materials Research Society Symposium - Proceedings, Vol. 643, 01.01.2001, p. K9141-K9146.

Research output: Contribution to journalArticle

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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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