A contact detection algorithm for superellipsoids based on the common-normal concept

By Christian Wellmann, C. Lillie, Peter Wriggers. 2008

154 citations recorded by the source corpus.

Purpose – The paper aims to introduce an efficient contact detection algorithm for smooth convex particles.Design/methodology/approach – The contact points of adjacent particles are defined according to the common‐normal concept. The problem of contact detection is formulated as 2D unconstrained optimization problem that is solved by a combination of Newton's method and a Levenberg‐Marquardt method.Findings – The contact detection algorithm is efficient in terms of the number of iterations required to reach a high accuracy. In the case of non‐penetrating particles, a penetration can be ruled out in the course of the iterative solution before convergence is reached.Research limitations/implications – The algorithm is only applicable to smooth convex particles, where a bijective relation between the surface points and the surface normals exists.Originality/value – By a new kind of formulation, the problem of contact detection between 3D particles can be reduced to a 2D unconstrained optimization problem. Th...

Subfields: Atomic and Molecular Physics, and Optics, Mechanics of Materials, Surfaces, Coatings and Films

View Paper: https://www.semanticscholar.org/paper/0633f980608cf027f86189654c72b1b8d8a90741

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In Atomic and Molecular Physics, and Optics

In Mechanics of Materials

In Surfaces, Coatings and Films

Citations in the corpus

Effects of particle asphericity on the macro- and micro-mechanical behaviors of granular assemblies (2017, background): “In terms of the common– normal concept [47,48], the contact penetration d approaches the minimum in the vector space D and subjected to the following two conditions:”
Particle shape effects on fabric of granular random packing (2017, background): “If this condition is true, particles are not touching [52], referring to Fig.”
A two-scale model of granular materials (2012, methodology): “A detailed description of the contact detection algorithm is given in [30].”
Investigation of adequacy of multi-sphere approximation of elliptical particles for DEM simulations (2010, methodology): “Generalization of smooth particles in terms of supperellipsoid is presented in latest works of Wellman et al. [16,18] and references therein.”