An endochronic theory accounted for deformation induced anisotropy |
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| Institution: | 1. Department of Civil Engineering National Taiwan University Taipei, Taiwan, ROC;2. The University of Iowa Iowa City, IA 52242, USA;1. Department of Genetics, Yale University School of Medicine, New Haven, CT, USA;2. System Biology Institute, Yale University, West Haven, CT, USA;3. Center for Cancer Systems Biology, Yale University, West Haven, CT, USA;4. Molecular Cell Biology, Genetics, and Development Program, Yale University, New Haven, CT, USA;5. Department of Immunobiology, Yale University, New Haven, CT, USA;6. Department of Laboratory Medicine, Yale University, New Haven, CT, USA;7. M.D.-Ph.D. Program, Yale University, West Haven, CT, USA;8. Immunobiology Program, Yale University, New Haven, CT, USA;9. Department of Cell Biology, Yale University, New Haven, CT, USA;10. Department of Biomedical Engineering, Yale University, New Haven, CT, USA;11. Nanobiology Institute, Yale University, New Haven, CT, USA;12. Yale Comprehensive Cancer Center, Yale University School of Medicine, New Haven, CT, USA;13. Yale Stem Cell Center, Yale University School of Medicine, New Haven, CT, USA;14. Yale Center for Biomedical Data Science, Yale University School of Medicine, New Haven, CT, USA;1. Laboratoire de Mécanique des Structures et Matériaux, LMSM, Université H. Lakhdar, Batna, Algeria;2. Laboratoire de Mécanique de Lille, LML, CNRS/UMR 8107, Université Lille 1, Villeneuve d''Ascq, France;1. School of Mathematics, Harbin Institute of Technology, Harbin 150001, China;2. Institute of Advanced Study in Mathematics, Harbin Institute of Technology, Harbin 150001, China;1. Department of Education and Psychology, Division Health Psychology, Freie Universität Berlin, Germany;2. Institute of Medical Psychology, Charité - Universitätsmedizin Berlin, Germany;3. SWPS University of Social Sciences and Humanities, Wroclaw, Poland;4. Trauma, Health, & Hazards Center, University of Colorado at Colorado Springs, Colorado Springs, CO, USA |
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| Abstract: | An anisotropic quadratic form of plastic strain increment is used to define the intrinsic time in the endochronic theory of plasticity. Based on this new definition, a yield function can be derived. This new version of endochronic theory can describe the expansion, translation, rotation, and distortion of the yield surface. While the initial yielding is in the form of the Mises yield criterion, the distortion of subsequent yield surfaces is expressed by the compression or stretching of the Mises yield surface. The effect of sharp front and blunt rear of the yield surface is considered to be of secondary importance and neglected in the interest of keeping the equations simple. This idealization will not much affect the prediction power of the model, because the plastic strain increment is in the radial direction emanating from the center of the current yield surface and is not normal to the current yield surface. In this theory, the plastic deformation is thus not sensitive to the exact shape of the yield surface. It has been shown that the proposed theory is capable of describing the experimental results of three different metals considered. The test series investigated include several different paths of prestress. |
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