Slip Strains and Stresses in Polycrystalline Aggregates Under Cyclic Load

[+] Author and Article Information
T. K. Tung

Structural Research Branch, Douglas Aircraft Company, Inc., Missile and Space Systems Division, Santa Monica, Calif.

T. H. Lin

University of California, Los Angeles, Calif.

J. Appl. Mech 33(2), 363-370 (Jun 01, 1966) (8 pages) doi:10.1115/1.3625050 History: Received April 09, 1965; Online September 15, 2011


In an aggregate under moderate loads, plastic deformation is considered to occur in favorably oriented crystals on single active slip systems. The residual stresses, due to the slip strains, are expressed in terms of the slip strains by an equivalent problem in elasticity. The resolved shear stresses, owing to the combined effects of the slip strains and the external load, are in turn related to the slip strains by material property. The slip-strain distribution can thus be determined, and the stress distribution follows. Analytical solutions are obtained for a cyclic load of constant amplitude, under certain simplifying assumptions. They agree closely with rigorous, numerical incremental calculations for a specific case. For materials that strain-harden against reverse slip in each infinitesimal region, decreasing hysteresis loops occur with cyclic loading, and the present results corroborate the essential features of an earlier analysis by Orowan.

Copyright © 1966 by ASME
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