I have seen different visual observation techniques written in a few papers (e.g.: Serrated plastic flow by P. Rodriguez) to identify the type of serration (Type A: sudden plastic flow followed by a drop, Type B: oscillations about general level, Type C: yield drops below the general level of stress-strain curve). However, not all serrations are perfectly shaped. So, identifying serration through visual observation only becomes difficult. Is there any mathematical model or any other way by which the serrations can be characterized?
Hi Saini,
I don't think there are techniques, other than visual observation on stress strain curves. This is because serrated yielding is instability of plastic deformation during uniaxial loading, tension or compression.
You may find the following review paper useful, which is more recent than Rodriguez's paper and it explores the empirical/mathematical modelling of the serrated yielding phenomena:
https://www.researchgate.net/publication/331715748_Serrated_yielding_physical_mechanisms_experimental_dates_macro-phenomenological_models.
Also see:
Article Experiments and Model for Serration Statistics in Low-Entrop...
Hi,
Look for this book, chapter 7. They have tried to model the serration mathematically. It may help you to set some conditions to identify mathematically which type of serration (A, B, or C)
https://link.springer.com/content/pdf/10.1007/978-3-030-66895-2.pdf?pdf=button
"The Three-Level Model to Describe Serrated Yielding: Structure, Algorithm, Implementation" by Dmitriy Gribov, Fedor Popov, and Eugenia Chechulina
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