Constitutive modeling of textured body-centered-cubic (bcc) polycrystals |
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| Institution: | 1. Advanced Engineering Materials, Dow Corning Corporation, Midland, MI 48686, USA;2. Department of Mechanical Engineering and Engineering Mechanics, Michigan Technological University, Houghton, MI 49931, USA;3. Graduate Aeronautical Labs., California Institute of Technology, MS 105-50, Pasadena, CA 91125, USA;1. EMPA, The Swiss Federal Laboratories for Materials Science and Technology, Ueberlandstrasse 129, 8600 Duebendorf, Switzerland;2. Department of Materials Science and Engineering, Delft University of Technology, Mekelweg 2, 2628 CD Delft, The Netherlands;1. Institute for Materials Research, University of Leeds, LS2 9JT Leeds, UK;2. Department of Materials Science and Engineering, North Carolina State University Raleigh, NC 27695, USA;3. Department of Materials Science and Engineering, Pennsylvania State University, University Park, 16802, USA;4. Department of Materials Science and Engineering, Anadolu University, Eskisehir, Turkey;5. Diamond Light Source Ltd, Diamond House, Harwell Science and Innovation Campus, Didcot, Oxfordshire, UK;6. R&D and Training Department, CPG Industrial, Mining and Technical Services GmbH, Dusseldorf 40237 Germany;1. Institute of Materials Science, Leibniz Universität Hannover, 30823 Garbsen, Germany;2. South Ukrainian National Pedagogical University, ul. Staroportoffrankovskaya 26, Odessa 65020, Ukraine;1. Department of Mechanical Science & Engineering, Graduate School of Engineering, Nagoya University, Nagoya 464-8603, Japan;2. Department of Mechanical Engineering, University of Alberta, Edmonton, AB T6G 2G8, Canada;1. MEMS - Microelectromechanical Systems Research Unit, Department of Mechanical Engineering, University of Minho, 4800-058 Portugal;2. CEMUC, Department of Mechanical Engineering, University of Coimbra, Polo II, 3030-788, Portugal;3. Department of Mechanical and Aerospace Engineering, University of Florida, REEF, FL 32579, USA |
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| Abstract: | 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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