Associative versus non-associative porous viscoplasticity based on internal state variable concepts |
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| Institution: | 1. G.V. Kurdyumov Institute for Metal Physics, NAS of Ukraine, 36 Academician Vernadsky blvd., UA-03142 Kyiv, Ukraine;2. National Technical University of Ukraine \"Igor Sikorsky Kyiv Polytechnic Institute\", 37 Peremohy ave., UA-03056 Kyiv, Ukraine;3. Wolfson School of Mechanical and Manufacturing Engineering, Loughborough University, Epinal Way, Loughborough LE11 3TU, UK;4. Mechanical Department, School of Engineering, The Copperbelt University, P.O Box 21692, Jambo Drive, Kitwe, Zambia;5. College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu Province 210016, China;1. La Rochelle University, LaSIE UMR 7356-CNRS, Faculty of Sciences and Technology, La Rochelle, France;2. ISAE-ENSMA, Institut P'', UPR 3346-CNRS, Chasseneuil-Futuroscope, France;1. Forschungszentrum Jülich GmbH, Institute of Energy and Climate Research (IEK), 52425, Jülich, Germany;2. University of Twente, Faculty of Science and Technology, Inorganic Membranes, P.O. Box 217, 7500 AE, Enschede, the Netherlands;3. RWTH Aachen University, Chair of Energy Engineering Materials, 52056, Aachen, Germany |
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| Abstract: | A general constitutive framework for porous viscoplasticity is used to study the role of specific void growth models in both associative and non-associative viscoplastic flow rules. Three particular model frameworks for porous viscoplasticity are identified, denoted as associative, non-associative and partially coupled. The structure of a specific model framework is defined by the nature of the inelastic flow rule (associative versus non-associative) and the specific dependence of the yield function on the first overstress invariant (pressure). As distinct from the great majority of existing models for flow of porous viscoplastic media, this work considers the physically based models which employ internal state variables to represent evolving internal structure. Some applications are examined using Bammann's internal state variable viscoplast3c model in the context of the three model frameworks. |
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