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First order rigidity transition and multiple stability regimes for random networks with internal stresses

D. A. Head
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Abstract

By applying effective medium-style calculations to random spring networks, we demonstrate that internal stresses fundamentally alter the nature of the rigidity transition in disordered materials, changing it from continuous to first-order and increasing the mean coordination number z at which rigidity first occurs. Furthermore, we predict the existence of a novel stability regime at low z when the distribution of stresses is asymmetric. Means of verifying these predictions are suggested.

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D. A. Head. 2005-03-18. First order rigidity transition and multiple stability regimes for random networks with internal stresses. https://doi.org/10.1088/0305-4470%2F37%2F45%2F004

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