Micromechanics of Hysteresis Loops of Fatigue in a Single Crystal

[+] Author and Article Information
T. H. Lin, K. K. F. Wong

Department of Civil and Environmental Engineering, University of California, Los Angeles, CA 90095-1593

N. J. Teng

Universal Analytics, Inc., Torrance, CA 90503

J. Appl. Mech 67(2), 338-343 (Oct 01, 1999) (6 pages) doi:10.1115/1.1304917 History: Received February 17, 1998; Revised October 01, 1999
Copyright © 2000 by ASME
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Procedure for decoupling the single crystal problem
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X-ray reflection patterns: (a) Sharp X-ray annealed α-brass. (b) From same specimen as (a) after a unidirectional strain 150×50 deg twist. (c) From same specimen as (a) after 1500 reversals of plastic strain 1.5-deg twist and showing same reflections as (a). (Reproduced from the book Fracture, 1959, courtesy of Technological Press, MIT.)
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Slip lines in polycrystalline nickel during two stages of cyclic loading (17)
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Instrusions and extrusions in copper during fatigue (17)
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Typical plastic strain distribution under cyclic loadings of aluminum
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Initially straight scratches a, b, c are displaced unidirectionally by static slip band AB. (Reproduced from Trans. Metal Soc. AIME, 1962, courtesy of AIME.)
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Cyclic slip band CD produces no overall displacement of scratches d, e, f. Within the slip band; the scratches are displaced equally backward and forward. (The same as Fig. 6, courtesy of AIME.)
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Removal of boundary tractions for a single crystal
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Extrusions observed in single crystal 11
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Plastic strain distribution with initial strain at center. P & Q′ and Q & P′ are symmetrically located. Extrusions protruding out on both faces.
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Hysteresis loops of an aluminum single crystal
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Experimental observation of hysteresis loops in aluminum single crystal (18)



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