University of Illinois Urbana-Champaign

Calculation of viscoplastic response of polycrystals from slip theory for F C C single crystals

Shawki T.G.; Clifton, R. J.; Kadioglu, Y.

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https://hdl.handle.net/2142/112235

Description

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.
Issue Date
1989-03
Keyword(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.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 493
  • 1989-6002
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112235
Sponsor(s)/Grant Number(s)
National Science Foundation 89/03 MSM 87 09299 89/03
Copyright and License Information
Copyright 1989 Board of Trustees of the University of Illinois

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Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
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.