Introduction to Dislocations¶
Hull, D., & Bacon, D. J. (2011). Introduction to Dislocations.
Cited by¶
3 citations across 3 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Defect
- The macroscopic property is set by the distribution and dynamics of defects rather than by the bulk — a metal's strength is fixed by dislocation density, not by perfect-lattice properties.
This sourceEstablishes that a metal's strength tracks dislocation density rather than perfect-lattice properties, and that dislocations glide along slip planes to permit plastic deformation at a fraction of the theoretical stress.
Supported in partVerified against the work's full text
Hull and Bacon's Chapter 1 shows real crystals deform far below the perfect-lattice theoretical strength because of dislocations, though the density-strength link lies in an unread chapter.
“This striking difference between prediction and experiment was accounted for independently by Orowan, Polanyi and Taylor in 1934 by the presence of dislocations.”
- The macroscopic property is set by the distribution and dynamics of defects rather than by the bulk — a metal's strength is fixed by dislocation density, not by perfect-lattice properties.
- Dislocation Motion
- The ordered substrate is the crystal lattice, whose atoms sit in well-defined positions; simultaneously shearing one whole plane of atoms past another — breaking every bond at once — would require an enormous stress, the theoretical shear strength.
This sourceStandard text on dislocation glide, cumulative slip, work hardening, and pinning (precipitates, grain boundaries) as strengthening mechanisms.
SupportedVerified against the work's full text
Hull and Bacon show that rigidly sliding a whole atomic plane in a perfect crystal needs the theoretical shear strength, about G/30, orders of magnitude above observed slip stresses.
“In a perfect crystal, i.e. in the absence of dislocations, the sliding of one plane past an adjacent plane would have to be a rigid co-operative movement of all the atoms from one position of perfect registry to another.”
- The ordered substrate is the crystal lattice, whose atoms sit in well-defined positions; simultaneously shearing one whole plane of atoms past another — breaking every bond at once — would require an enormous stress, the theoretical shear strength.
Domain-specific¶
- Dislocation
- The mechanism is precise: instead of requiring all atoms across a slip plane to break their bonds and re-form simultaneously — which would demand a theoretical shear stress on the order of G/10 to G/30 (where G is the shear modulus) — a dislocation allows the lattice to rearrange one atomic row at a time as the defect line sweeps across the slip plane, reducing the required stress by two to four orders of magnitude
This sourceHull and Bacon's Introduction to Dislocations, which sets out the theoretical critical shear stress of a perfect lattice as a small fraction of the shear modulus. Hull and Bacon's Introduction to Dislocations, where the Burgers vector of an edge dislocation is defined as normal to the dislocation line. Hull and Bacon's Introduction to Dislocations, whose chapter on the origin and multiplication of dislocations includes multiplication by Frank-Read sources.
Supported in partVerified against the work's full text
“The maximum value of t is then the {{{theoretical}}} critical shear stress and is b G hh~a”
- The mechanism is precise: instead of requiring all atoms across a slip plane to break their bonds and re-form simultaneously — which would demand a theoretical shear stress on the order of G/10 to G/30 (where G is the shear modulus) — a dislocation allows the lattice to rearrange one atomic row at a time as the defect line sweeps across the slip plane, reducing the required stress by two to four orders of magnitude
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