On finitely deforming rigid-plastic materials |
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| Affiliation: | 1. National University of Ireland Galway, Galway, Ireland;2. Massachusetts Institute of Technology, Cambridge, MA, United States of America;1. Computational Mechanics and Materials Department, Idaho National Laboratory, P.O. Box 1625, Idaho Falls, ID 83415, USA;2. Materials Science and Technology Division, Los Alamos National Laboratory, P.O. Box 1663, Los Alamos, NM, 87545, USA;3. Department of Nuclear Engineering, North Carolina State University, Raleigh, NC, 27695, USA;4. Argonne National Laboratory, Lemont, IL, 60439, USA;5. Department of Materials Science and Engineering, University of Florida, P.O. Box 116400, Gainesville, FL 32611, USA |
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| Abstract: | ![]()
In the context of a Lagrangian strain-space formulation of finitely deforming elastic-plastic materials, a theory of rigid-plastic materials is first derived as a limiting case. Hardening, softening, and perfectly plastic responses are discussed. Consequences of a physically plausible work assumption are examined, and special classes of materials are studied. An a priori theory of finitely deforming rigid-plastic materials is then proposed. |
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