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TECHNICAL PAPERS

Singularities at Grain Triple Junctions in Two-Dimensional Polycrystals With Cubic and Orthotropic Grains

[+] Author and Article Information
R. C. Picu

Division of Engineering, Brown University, Providence, RI 02912

V. Gupta

Department of Mechanical and Aerospace Engineering, University of California, Los Angeles, CA 90095

J. Appl. Mech 63(2), 295-300 (Jun 01, 1996) (6 pages) doi:10.1115/1.2788863 History: Received July 01, 1994; Revised March 20, 1995; Online October 26, 2007

Abstract

Stress singularities at grain triple junctions are evaluated for various asymmetric grain boundary configurations and random orientations of cubic and orthotropic grains. The analysis is limited to elastic plane-strain deformation and carried out using the Eshelby-Stroh formalism for anisotropic elasticity. For both the cubic and orthotropic grains, the most singular configuration corresponds to the fully symmetric case with grain boundaries 120 deg apart, and with symmetric orientations of the material axes. The magnitude of the singularities are obtained for several engineering polycrystals.

Copyright © 1996 by The American Society of Mechanical Engineers
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