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

Christian Wellmann (Institute of Mechanics and Computational Mechanics, Leibniz‐University of Hannover, Hannover, Germany)
Claudia Lillie (Institute of Mechanics and Computational Mechanics, Leibniz‐University of Hannover, Hannover, Germany)
Peter Wriggers (Institute of Mechanics and Computational Mechanics, Leibniz‐University of Hannover, Hannover, Germany)

Engineering Computations

ISSN: 0264-4401

Article publication date: 18 July 2008

Abstract

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. This formulation enables fast contact exclusions in the case of non‐penetrating particles.

Keywords

Citation

Wellmann, C., Lillie, C. and Wriggers, P. (2008), "A contact detection algorithm for superellipsoids based on the common‐normal concept", Engineering Computations, Vol. 25 No. 5, pp. 432-442. https://doi.org/10.1108/02644400810881374

Publisher

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Emerald Group Publishing Limited

Copyright © 2008, Emerald Group Publishing Limited