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Initial yield process around a spherical inclusion in single-crystalline aluminium

T Tsuru1 and Y Shibutani1,2

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The initial yield process and the subsequent formation of prismatic dislocation loops around a spherical inclusion embedded in a single-crystalline Al matrix are studied by atomistic simulations. In conjunction with linear elastic theory, it is confirmed that the maximum shear stress is created at the inclusion–matrix interface on the {1 1 1} plane intersecting the spherical inclusion at a height of R_{\rm P} / \sqrt 2 (RP: radius of spherical inclusion). The critical pressure, shear stress and strain for dislocation nucleation are then quantitatively determined. Afterwards, prismatic dislocation loops, which are constructed by four pure edge dislocations with the same Burgers vector but not on the same slip planes, are formed by energetically unstable interactions around the inclusion. Consequently, analytical considerations and atomistic simulation provide a clear explanation of experimental observations and an instructive insight into the precipitation problem.


PACS

62.20.F- Deformation and plasticity

61.72.Hh Indirect evidence of dislocations and other defects (resistivity, slip, creep, strains, internal friction, EPR, NMR, etc.)

81.40.Jj Elasticity and anelasticity, stress-strain relations

62.20.D- Elasticity

61.72.Qq Microscopic defects (voids, inclusions, etc.)

Subjects

Condensed matter: structural, mechanical & thermal

Dates

Issue 7 (7 April 2007)

Received 13 September 2006, in final form 20 January 2007

Published 16 March 2007



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