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Erratum to in-plane edge somigliana dislocation dipoles and quadrupoles
ScriptaMaterialia,
Vol. 35, No. 7, p. 903, 1996 Elsevier Science Ltd Copyright Q 1996 Acta Metallurgica Inc. Printed in the USA. All rights reserved 1359-6462/96 $12.00 + .OO
Pergamaln PII S1359-6462(96)00185-6
ERRATUM TO IN-PLANE EDGE SOMIGLIANA DIISLOCATION DIPOLES AND QUADRUPOLES P. Miillner Max-Planck-Institut &r Metallforschung, Institut f?.irWerkstoffwissenschaf, Seestrasse 92, D-70 174 Stuttgart, Germany (Received May 3, 1996) This note is to correct equation 5 of (1) where the constant 1 has to be replaced by 312. In the paragraph “Possible Applications” of(l), a dislocation is treated in terms of a disclination dipole of type A (DA). The correct form of the paragraph is: “A single dislocation with a slightly dissociated core (smeared out in its glide plane) may be modeled in terms of a DA where 2a gives the width of the core and 2ao equals the Burgers vector of the dislocation. The energy of such a dislocation is:
where R is an outl:r cut off radius. In the particular case where 2a equals the Burgers vector and o = 1, the energy of the disl.ocation is given by
(5b)
where e is the b’ase of the natural logarithm. This corresponds exactly to the energy of a Volterra dislocation where e3’*= 4.5 equals the core parameter IX(7). According to (7), e3” is a very reasonable value for a.” Some of the results in (1) have been published earlier independently by Kroupa (2). References 1. P. MUlIner, Scripta metall. mater. 33, No. 7, 1181 (1995). 2. F. Kroupa, Key Engng. Mater. 97-98,377 (1994). 7. J. P. Hirth and J. Lothe, Theory of Dislocations, p. 212, McGraw-Hill, New York (1968).
903
Vol. 35, No. 7, p. 903, 1996 Elsevier Science Ltd Copyright Q 1996 Acta Metallurgica Inc. Printed in the USA. All rights reserved 1359-6462/96 $12.00 + .OO
Pergamaln PII S1359-6462(96)00185-6
ERRATUM TO IN-PLANE EDGE SOMIGLIANA DIISLOCATION DIPOLES AND QUADRUPOLES P. Miillner Max-Planck-Institut &r Metallforschung, Institut f?.irWerkstoffwissenschaf, Seestrasse 92, D-70 174 Stuttgart, Germany (Received May 3, 1996) This note is to correct equation 5 of (1) where the constant 1 has to be replaced by 312. In the paragraph “Possible Applications” of(l), a dislocation is treated in terms of a disclination dipole of type A (DA). The correct form of the paragraph is: “A single dislocation with a slightly dissociated core (smeared out in its glide plane) may be modeled in terms of a DA where 2a gives the width of the core and 2ao equals the Burgers vector of the dislocation. The energy of such a dislocation is:
where R is an outl:r cut off radius. In the particular case where 2a equals the Burgers vector and o = 1, the energy of the disl.ocation is given by
(5b)
where e is the b’ase of the natural logarithm. This corresponds exactly to the energy of a Volterra dislocation where e3’*= 4.5 equals the core parameter IX(7). According to (7), e3” is a very reasonable value for a.” Some of the results in (1) have been published earlier independently by Kroupa (2). References 1. P. MUlIner, Scripta metall. mater. 33, No. 7, 1181 (1995). 2. F. Kroupa, Key Engng. Mater. 97-98,377 (1994). 7. J. P. Hirth and J. Lothe, Theory of Dislocations, p. 212, McGraw-Hill, New York (1968).
903