Planar Double‐Slip Micromechamcal Model for Polycrystal Plasticity
Publication: Journal of Engineering Mechanics
Volume 119, Issue 6
Abstract
The kinematics and kinetics of a planar double‐slip system are used to model the response of a single crystal in plane large plastic deformations. Based on the kinematics of the double‐slip element, the orientation distribution function (ODF) of an infinite number of such elements, modeling a polycrystalline material, is obtained analytically for plane deformations by solving its differential equation of evolution. The ODF models the texture development of the polycrystalline aggregate. Based on the corresponding kinetics of the double‐slip element, the ODF is used to obtain by integration in closed‐form analytical expressions for the deviatoric stress components and associated yield surface of the polycrystal during general plane large plastic deformations, accounting for the ongoing texture development. The general theoretical development is illustrated by examples for simple shear and plane strain rolling deformation processes, and in the former case is compared successfully with experiments.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 119 • Issue 6 • June 1993
Pages: 1260 - 1284
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Aug 18, 1992
Published online: Jun 1, 1993
Published in print: Jun 1993
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