Dynamic Instability in Geomaterials Associated with the Presence of Negative Stiffness Elements
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One of the mechanisms of instability in geomaterials is associated with the descending branch of stress-strain curve caused by internal fracturing. The descending stress-strain curve can also be produced by negative stiffness elements, one of the mechanisms of negative stiffness being the rotation of non-spherical grains. The presence of negative stiffness elements can cause dynamic instability in the geomaterials. We investigate a simple elastic model of dynamic instability consisting of chains of oscillators some with negative stiffness springs. We show that in a stable chain only one oscillator can have negative stiffness spring and formulate the criterion of stability.
KeywordsNegative Stiffness Dynamic Instability Stable Chain Simple Elastic Model Dyskine
The authors acknowledge the financial support through ARC Discovery Grant DP120102434.
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