Nodal-based three-dimensional discontinuous deformation analysis (3-D DDA)

Beyabanaki, S. Amir Reza; Jafari, Arian; Biabanaki, S.O.R.; Yeung, M.R.

doi:10.1016/j.compgeo.2008.08.009

Cited by 41 publications

(2 citation statements)

References 25 publications

(30 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Numerical approaches have proven successful at analyzing these materials because they are able to reproduce complex failure mechanisms under controlled geometries. Some of these approaches use, for example, finite-elements (Sulem and Cerrolaza, 2002;Amir Reza Beyabanaki et al, 2009), discrete-element methods with bonded bodies (Potyondy and Cundall, 2004;Cho et al, 2007;Lan et al, 2010;Scholtès and Donzé, 2013;Kazerani, 2013;Gao and Stead, 2014), splitting or replacing mechanisms (Cantor et al, 2015;Ciantia et al, 2015;Gladkyy and Kuna, 2017;Iliev et al, 2019), or coupled discrete-finite element strategies (Mahabadi et al, 2010;Bagherzadeh Kh. et al, 2011;Guo and Zhao, 2014;Ma et al, 2014).…”

Section: Numerical Modelingmentioning

confidence: 99%

Microstructural origins of crushing strength for inherently anisotropic brittle materials

Cantor¹,

Ovalle²,

Azéma³

2021

Preprint

View full text Add to dashboard Cite

We study the crushing strength of brittle materials whose internal structure (e.g., mineral particles or graining) presents a layered arrangement reminiscent of sedimentary and metamorphic rocks. Taking a discrete-element approach, we probe the failure strength of circular-shaped samples intended to reproduce specific mineral configurations. To do so, assemblies of cells, products of a modified Voronoi tessellation, are joined in mechanically-stable layerings using a bonding law. The cells' shape distribution allows us to set a level of inherent anisotropy to the material. Using a diametral point loading, and systematically changing the loading orientation with respect to the cells' configuration, we characterize the failure strength of increasingly anisotropic structures. This approach ends up reproducing experimental observations and lets us quantify the statistical variability of strength, the consumption of the fragmentation energy, and the induced anisotropies linked to the cell's geometry and force transmission in the samples. Based on a fine description of geometrical and mechanical properties at the onset of failure, we develop a micromechanical breakdown of the crushing strength variability using an analytical decomposition of the stress tensor and the geometrical and force anisotropies. We can conclude that the origins of failure strength in anisotropic layered media rely on compensations of geometrical and mechanical anisotropies, as well as an increasing average radial force between minerals indistinctive of tensile or compressive components.

show abstract

Section: Numerical Modelingmentioning

confidence: 99%

Microstructural origins of crushing strength for inherently anisotropic brittle materials

Cantor¹,

Ovalle²,

Azéma³

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…Methods of computational mechanics of discontinua include discrete element methods (DEM) [5][6][7], discontinuous deformation analysis (DDA) [8][9][10][11], the combined finite-discrete element method (FDEM) [12,13] and the numerical manifold method (NMM) [14,15]. The key to any discontinuity-based numerical method is a rigorous contact theory that can describe the interactions of multiple three-dimensional (3D) blocks [16].…”

Section: Introductionmentioning

confidence: 99%