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Constitutive Modeling of Textured Body Centered Cubic (BCC) Polycrystals

Lee, Yeong Joo and Subhash, Ghatu and Ravichandran, G. (1999) Constitutive Modeling of Textured Body Centered Cubic (BCC) Polycrystals. International Journal of Plasticity, 15 (6). pp. 625-645. ISSN 0749-6419. doi:10.1016/S0749-6419(99)00004-2.

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A new latent hardening model for body-centered-cubic (bcc) single crystals motivated by the inapplicability of the Schmid law (Critical Resolved Shear Stress Criterion) is presented. This model is based on the asymmetry of shearing resistance of the {112} slip planes depending on the shearing direction in the sense of ‘twin’ and ‘anti-twin’. For the interpretation of deformation of polycrystalline aggregates depending upon initial texture, a constitutive law for bcc single crystals is developed. This law is based on a rigorous constitutive theory for crystallographic slip that accounts for the effects of strain hardening, rate-sensitivity and thermal softening. The deformation response of textured polycrystal is investigated by means of a Taylor type averaging scheme and an established numerical procedure. Results for textured tungsten polycrystals at low and high strain rates for two different textures [001] and [011] are presented and compared with experimental results. The predictions compare well with experimental observations for the [001] texture. In the [011] texture, due to the reduced symmetry of deformation, lateral tensile stresses develop even under uniaxial compression. These lateral tensile stresses are responsible for observed lack of ductility and transgranular failure in the [011] texture.

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Ravichandran, G.0000-0002-2912-0001
Additional Information:© 1999 Elsevier Science Ltd. Received in revised form 29 November 1998. G.R. would like to acknowledge the support of the National Science Foundation through a grant CMS-9157846. The computations were performed using the facilities of the San Diego Supercomputer Center (SDSC).
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Issue or Number:6
Record Number:CaltechAUTHORS:20150226-163317521
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Official Citation:Yeong Joo Lee, Ghatu Subhash, G. Ravichandran, Constitutive modeling of textured body-centered-cubic (bcc) polycrystals, International Journal of Plasticity, Volume 15, Issue 6, 1999, Pages 625-645, ISSN 0749-6419, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:55287
Deposited By: Cheryl Gause
Deposited On:03 Mar 2015 00:23
Last Modified:10 Nov 2021 20:44

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