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Title:Calculation of viscoplastic response of polycrystals from slip theory for F C C single crystals
Author(s):Shawki T.G.; Clifton, R. J.; Kadioglu, Y.
Subject(s):Viscoplastic Response
Polycrystals
Slip Theory
F.C.C. Single Crystals
Abstract:The macroscopic viscoplastic response of polycrystalline aggregates is modeled using Taylor slip theory. Single slip due to the glide motion of dislocations is viewed as comprising jumps past relatively disperse local obstacles and viscous glide through the clear region between obstacles [1,2]. Slip is assumed to occur on 12 slip systems in F.C.C. crystaIs. The macroscopic strain rate tensor is prescribed and, for each grain orientation, a system of five nonlinear algebric equations is solved for the components of the stress deviator tensor. The equations are solved by a quasi-Newton method which combines the benefits of the local quadratic convergence of Newton's method and the global convergence of a line-search algorithm. A parametertracking technique is adopted in order to handle the stiff system of equations associated with the transition regime. The response of a polycrystalline aggregate is obtained by averaging over all possible orientations.
Issue Date:1989-03
Publisher:Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report:TAM R 493
1989-6002
Genre:Technical Report
Type:Text
Language:English
URI:http://hdl.handle.net/2142/112235
ISSN:0073-5264
Sponsor:National Science Foundation 89/03 MSM 87 09299 89/03
Rights Information:Copyright 1989 Board of Trustees of the University of Illinois
Date Available in IDEALS:2021-11-04


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  • Technical Reports - Theoretical and Applied Mechanics (TAM)
    TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.

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