Configurational force on a lattice dislocation and the Peierls stress |
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Authors: | V A Lubarda X Markenscoff |
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Institution: | (1) Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, CA 92093-0411, USA |
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Abstract: | 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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Keywords: | Configurational force Core radius Disclination Dislocation Lattice friction Peach– Koehler force Peierls stress |
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