NDLI: On the “inertial” time in instability of materials with non-monotone yield stress

Content Provider	Springer Nature Link
Author	Charalambakis, N. Doudoumis, I. Rigatos, A.
Copyright Year	1997
Abstract	We consider the shear instability problem of a ductile material which exhibits strain softening response after a critical value of the plastic strain, as well as strain-rate sensitivity. We first show that the time which corresponds to the maximum stress cannot be considered as the exact critical time at which instability occurs, by establishing the existence of an “inertial” time, which extends the stability regime into the softening region. We study the parameters that influence the value of this “inertial” time and show the importance of the strain-rate sensitivity. More precisely, we show that its presence, independent of its value, is sufficient to ensure the prolongation of the stability regime after the maximum value of the yield function. Finally, we present the numerical simulation of the non-linear problem to show that there exists a transition regime after the maximum stress, in which the strain-rate non-uniformities evolve very slowly. This regime is followed by an unstable situation, in the sense that the strain-rate localizes in the softer regions. The localization is due to a “feed-back” mechanism, which favors the strain increase much more at the softer regions, forcing the stress to decrease much more there, which, in turn, allows for the development of larger strain-rate values.
Starting Page	21
Ending Page	34
Page Count	14
File Format	PDF
ISSN	00015970
Journal	Acta Mechanica
Volume Number	121
Issue Number	1-4
e-ISSN	16196937
Language	English
Publisher	Springer-Verlag
Publisher Date	1997-01-01
Publisher Place	Vienna
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Numerical and Computational Methods in Engineering Continuum Mechanics and Mechanics of Materials Structural Mechanics Vibration, Dynamical Systems, Control Engineering Fluid Dynamics Engineering Thermodynamics, Transport Phenomena
Content Type	Text
Resource Type	Article
Subject	Mechanical Engineering Computational Mechanics

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