Journal of Applied Mechanics

Volume: Page/CID:

Honoring Professor Erdogan's Seminal Contributions to Mixed Boundary-Value Problems of Inhomogeneous and Functionally Graded Materials

The Buckling of a Swollen Thin Gel Layer Bound to a Compliant Substrate
Gels are used to design bilayered structures with high residual stresses. The swelling of a thin layer on a compliant substrate leads to compressive stresses. The postbuckling of this layer is investi...

J. Appl. Mech. / Volume 75 / Issue 5 / Research Papers

Investigation of Preferred Orientations in Planar Polycrystals

J. Appl. Mech. -- September 2008 -- Volume 75, Issue 5, 051001 (10 pages)
doi:10.1115/1.2912930

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ABSTRACT

REFERENCES (27)

Author(s):
M. R. Tonks
T-3, Los Alamos National Laboratory, Los Alamos, NM, 87545; Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801

A. J. Beaudoin
Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801

F. Schilder
Department of Mathematics, University of Surrey, Guildford, GU2 7XH, UK

D. A. Tortorelli
Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801

Moreaccurate manufacturing process models come from better understanding of textureevolution and preferred orientations. We investigate the texture evolution inthe simplified physical framework of a planar polycrystal with twoslip systems used by Prantil et al. (1993, “An Analysis ofTexture and Plastic Spin for Planar Polycrystal,” J. Mech. Phys.Solids, 41(8), pp. 1357–1382). In the planar polycrystal, the crystalorientations behave in a manner similar to that of asystem of coupled oscillators represented by the Kuramoto model. Thecrystal plasticity finite element method and the stochastic Taylor model(STM), a stochastic method for mean-field polycrystal plasticity, predict thedevelopment of a steady-state texture not shown when employing theTaylor hypothesis. From this analysis, the STM appears to bea useful homogenization method when using representative standard deviations.