A constitutive equation for hot deformation range of 304 stainless steel considering grain sizes |
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| Affiliation: | 1. Atmospheric, Oceanic and Planetary Physics, Clarendon Laboratory, University of Oxford, Parks Road, Oxford, OX1 3PU, UK;2. Department of Physics and Astronomy, University of Leicester, University Road, Leicester, LE1 7RH, UK;1. Finnish Meteorological Institute, PO Box 503, FIN-00101 Helsinki, Finland;2. Department of Physics, University of Helsinki, FI-00560 Finland;3. Department of Physical Sciences, The Open University, Milton Keynes MK7 6AA, UK;4. Center for Earth and Planetary Studies, National Air and Space Museum, Washington, DC 20013-7012, USA;1. Department of Medicine, University of Basel, Basel, Switzerland;2. Albert Einstein College of Medicine, Bronx, NY, United States;3. Department of Chemical and Biomolecular Engineering, New York University, New York, NY, United States;4. Montreal Clinical Research Institute, Montreal, QC, Canada;5. Sloan Kettering Institute for Cancer Research, New York, NY, United States;6. Department of Chemical and Biomolecular Engineering, Vanderbilt University, Nashville, TN, United States;7. Department of Biomedical Engineering, Vanderbilt University, Nashville, TN, United States;8. Department of Radiation Oncology, Vanderbilt University Medical Center, Nashville, TN, United States |
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| Abstract: | A general constitutive equation based on the framework of invariant theory by consideration of hot deformation key variables and also the properties of the material such as initial grain size is presented in the current work. Soundness of the considered parameters to be used in the developed formula was initially verified based on the important axioms such as objectivity, entropy principle, and thermodynamics stability. To access the prediction ability of the method, the formula was simplified for the simple hot compression test. To evaluate the simplified formula, single-hit hot compression tests were carried out at the temperature range of 900–1100 °C under true strain rate of 0.01–1 s−1 on a AISI 304 stainless steel. The capability of proposed formula for reproducing the variation of flow stress with strain and the strain hardening rate with stress for the resultant flow stress data was examined. The good agreement between model predictions and actual results signified the applicability of this method as a general constitutive equation in hot deformation studies. |
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| Keywords: | Constitutive equation 304 Stainless steel Invariant theory Grain size |
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