A new algorithm for contact detection between convex polygonal and polyhedral particles in the discrete element method

DEM modelling of a jointed rock beam with emphasis on interface properties

“…Furthermore, it has been shown that the DEM with the contact detection algorithm of Boon et al (2012) is capable of correctly calculating the line of thrust for jointed singlelayer rock beams subject to gravitational acceleration.…”

“…The open-source DEM academic code YADE (Kozicki & Donzé, 2008) was employed in this study, together with a new contact detection algorithm recently proposed by Boon et al (2012) based on linear programming. Second-order conic programming could also be used .…”

A fast direct search algorithm for contact detection of convex polygonal or polyhedral particles

“…Other methods include the approaching face method [5], an improved approaching face algorithm [6], vertex-to-face searching algorithm [7] and multi-shell cover method [11]. Boon et al [1] generalize contact between convex polyhedral particles as a convex optimization problem and used a linear program method to solve it.…”

“…First, the point set of a twodimensional (2-D) convex polygon or a three-dimensional (3-D) convex polyhedron can be algebraically represented by the intersection of several inequalities. The linear programming method [1] uses these expressions as a basis. Second, a boundaryrepresentative method for polygons or polyhedra can be used.…”

An experimental model for slopes subject to weathering

“…With regard to numerical methods, stability analyses performed by finite element with strength reduction technique [6,7] are traditionally employed. However, recent developments in contact detection algorithms for 3D convex blocks [8,9] have made it possible to use also the discrete element method for the analysis of 3D slopes subject to strength reduction [10]. With regard to experimentation, most laboratory experiments require large slope models [11][12][13][14] to realistically simulate weathering induced slope failures.…”