Abstract
Let us consider Portevin-Le Chatelier (PLC) effect as a form of dynamic material instability. The tools of the investigation are the same as of the theory of dynamical systems. While at the PLC phenomenon negative rate dependence is coupled with the appearance of a self-sustained oscillatory behaviour in solid bodies, the results present us an interpretation of PLC as a flutter type of loss of material stability.
Highlights
The Portevin-Le Chatelier (PLC) effect is observed in alloys under certain conditions
This mechanism is referred as dynamic strain aging (SA) and leads to negative strain rate sensitivity (NRS)
Our aim is to show that only NRS is sufficient to get the oscillatory behaviour of PLC as a type of material instability
Summary
The Portevin-Le Chatelier (PLC) effect is observed in alloys under certain conditions. Solute atoms diffuse to and age mobile dislocations while they are temporarily arrested at these obstacles. This mechanism is referred as dynamic strain aging (SA) and leads to negative strain rate sensitivity (NRS). Even the first studies of material instability [1] distinguish two main types of it. These are called the divergence and the flutter. The loss of stability can be performed on two basic ways. It can be a static or a dynamic bifurcation. In the case of the rate independent constitutive equation σ jk,k
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