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Article

Negative Stiffness, Incompressibility, and Strain Localisation in Particulate Materials

1
School of Civil, Environmental and Mining Engineering, University of Western Australia, Crawley, WA 6009, Australia
2
School of Mechanical Engineering, University of Western Australia, Crawley, WA 6009, Australia
3
Subsea Engineering Associates, Level 9, 111 St. Georges Tce, Perth, WA 6000, Australia
*
Author to whom correspondence should be addressed.
Academic Editor: Daniel Dias
Appl. Sci. 2021, 11(18), 8751; https://doi.org/10.3390/app11188751
Received: 29 August 2021 / Revised: 12 September 2021 / Accepted: 13 September 2021 / Published: 20 September 2021
In this paper, we consider two mechanisms capable of inducing strain localisation in particulate geomaterials in compression: the apparent negative stiffness and the incremental incompressibility caused by dilatancy. It is demonstrated that the apparent negative stiffness can be produced by the rotation of clusters of particles in the presence of compression. The clusters are formed by connecting the particles by the bonds that still remain intact in the process of bond breakage in compression. We developed a 2D isotropic model of incremental incompressibility showing that a single strain localisation zone is formed inclined at 45° to the direction of axial compressive loading. This mechanism of localisation was analysed through Particle Flow Code (PFC) 2D and 3D simulations. It is shown that, in the simulations, the peak stress (the onset of localisation) does correspond to the incremental Poisson’s ratio, reaching the critical values of 1 (in 2D) and 0.5 (in 3D). View Full-Text
Keywords: apparent negative stiffness; rotating clusters of particles; incremental incompressibility; nontrivial solutions apparent negative stiffness; rotating clusters of particles; incremental incompressibility; nontrivial solutions
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MDPI and ACS Style

Dyskin, A.V.; Pasternak, E.; Xu, Y. Negative Stiffness, Incompressibility, and Strain Localisation in Particulate Materials. Appl. Sci. 2021, 11, 8751. https://doi.org/10.3390/app11188751

AMA Style

Dyskin AV, Pasternak E, Xu Y. Negative Stiffness, Incompressibility, and Strain Localisation in Particulate Materials. Applied Sciences. 2021; 11(18):8751. https://doi.org/10.3390/app11188751

Chicago/Turabian Style

Dyskin, Arcady V., Elena Pasternak, and Yuan Xu. 2021. "Negative Stiffness, Incompressibility, and Strain Localisation in Particulate Materials" Applied Sciences 11, no. 18: 8751. https://doi.org/10.3390/app11188751

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