Summary
A basic solution to the problem of a screw dislocation near a circular hole in nonlocal clasticity is first presented. The nonlocal stress and nonlocal image force on the screw dislocation are derived whereby the singularities in both classical stress and classical image force are eliminated. Then, the nonlocal image force on a screw dislocation near an elliptic hole is obtained by a conformal map** technique. The maximum of the image force and the corresponding position of hte dislocation are estimated for a dislocation very close to the holes.
Übersicht
Zuerst wird eine Lösung für das Problem einer Schraubenversetzung neben einem kreisförmigen Loch bei nichtlokaler Elastizität vorgestellt. Die nichtlokal Spannungen und die nichtlokalen Bildkräfte werden abgeleitet, wobei alle Singularitäten verschwinden. Dann wird die nichtlokale Bildkraft auf eine Schrauben versetzung neben einem elliptischen Loch mit Hilfe einer konformen Abbildung erhalten. Für die Versetzung sehr nahe dem Loch werden das Maximum der Bildkraft und ihre Position geschätzt.
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Pan, K.L., Fang, J. The image force on a dislocation near an elliptic hole in nonlocal elasticity. Arch. Appl. Mech. 62, 557–564 (1992). https://doi.org/10.1007/BF00787915
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DOI: https://doi.org/10.1007/BF00787915