Journal
ARCHIVE OF APPLIED MECHANICS
Volume 77, Issue 2-3, Pages 147-154Publisher
SPRINGER
DOI: 10.1007/s00419-006-0068-y
Keywords
configurational force; core radius; disclination; dislocation; lattice friction; Peach-Koehler force; Peierls stress
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The solution for a crystalline edge dislocation is presented within a framework of continuum linear elasticity, and is compared with the Peierls-Nabarro solution based on a semi-discrete method. The atomic disregistry and the shear stress across the glide plane are discussed. The Peach-Koehler configurational force is introduced as the gradient of the strain energy with respect to the dislocation position between its two consecutive equilibrium positions. The core radius is assumed to vary periodically between equilibrium positions of the dislocation. The critical force is expressed in terms of the core radii or the energies of the stable and unstable equilibrium configurations. This is used to estimate the Peierls stress for both wide and narrow dislocations.
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