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Mathematics and Mechanics of Solids
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On the Elastic Interaction between a Surface Step and an Edge Dislocation

Demitris Kouris

Department of Mechanical Engineering, University of Wyoming, Laramie, WY 82071, USA

Yoshio Arai

Division of Mechanical Engineering and Science, Saitama University, Sakura-ku, Saitama, Saitama, 338-8570, Japan

Toru Yamaguchi

Division of Mechanical Engineering and Science, Saitama University, Sakura-ku, Saitama, Saitama, 338-8570, Japan

Echiro Tsuchida

Division of Mechanical Engineering and Science, Saitama University, Sakura-ku, Saitama, Saitama, 338-8570, Japan

This manuscript addresses the issue of interaction between a surface step and an edge dislocation. It represents the first step in an investigation that will examine dislocation egress in the presence of surface steps. The geometric step introduces an elastic field that is altered by the presence of a dislocation in its vicinity. The complete elastic field is first determined, followed by explicit expressions for the Peach— Koehler force of the interaction. A discussion follows focusing on the possibility that an edge dislocation can be prevented from reaching the surface as a result of the field generated by the surface step. If such an outcome is possible, surface steps may be responsible for a new mechanism of strain hardening. Such a possibility has been recently suggested in the literature.

Key Words: Surface step • dislocation • Peach—Koehler force

Mathematics and Mechanics of Solids, Vol. 13, No. 3-4, 336-356 (2008)
DOI: 10.1177/1081286507086905
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