Transitional negative stiffness and numerical modelling of failure of particulate material

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Abstract

We observed negative stiffness effect during the bond breakage in a simple 4 discs PFC 2D simulation. This negative stiffness effect only exists during the transitional time during which the model regains equilibrium. We subsequently call this negative stiffness effect - transitional negative stiffness effect. It can be shown the instability of geomaterials is reached when the (incremental) Poisson’s ratio reached value of 1(2D case). Hence we embarked on verifying the hypothesis that the peak load coincides with the critical incremental Poisson’s ratio. We demonstrate that the peak on the stress-strain curve corresponds to the incremental Poisson’s ratio reaching 1. This gives a confirmation that the transitional negative stiffness can be responsible for the global instability of particulate materials.
Original languageEnglish
Title of host publication9th Australasian Congress on Applied Mechanics (ACAM9)
Place of PublicationSydney
PublisherEngineers Australia
Pages798-803
ISBN (Electronic)9781925627022
Publication statusPublished - 2017
Event9th Australasian Congress on Applied Mechanics - https://acam9.com.au/, Sydney, Australia
Duration: 27 Nov 201729 Nov 2017

Conference

Conference9th Australasian Congress on Applied Mechanics
Abbreviated titleACAM9
CountryAustralia
CitySydney
Period27/11/1729/11/17

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  • Cite this

    Xu, Y., Dyskin, A. V., & Pasternak, E. (2017). Transitional negative stiffness and numerical modelling of failure of particulate material. In 9th Australasian Congress on Applied Mechanics (ACAM9) (pp. 798-803). Engineers Australia.