In:
Engineering Computations, Emerald, Vol. 25, No. 5 ( 2008-07-18), p. 432-442
Abstract:
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.
Type of Medium:
Online Resource
ISSN:
0264-4401
DOI:
10.1108/02644400810881374
Language:
English
Publisher:
Emerald
Publication Date:
2008
detail.hit.zdb_id:
2009342-1