A monolithic smoothing-gap algorithm for contact-impact based on the signed distance function

Belytschko, T, Daniel, WJT and Ventura, G (2002) A monolithic smoothing-gap algorithm for contact-impact based on the signed distance function. International Journal For Numerical Methods In Engineering, 55 1: 101-125.


Author Belytschko, T
Daniel, WJT
Ventura, G
Title A monolithic smoothing-gap algorithm for contact-impact based on the signed distance function
Journal name International Journal For Numerical Methods In Engineering   Check publisher's open access policy
Publication date 2002
Sub-type Article
DOI 10.1002/nme.568
Volume number 55
Issue number 1
ISSN 0029-5981
Start page 101
End page 125
Total pages 25
Place of publication United Kingdom
Publisher John Wiley & Sons Ltd
Collection year 2002
Language eng
Subject C1
230116 Numerical Analysis
780101 Mathematical sciences
Abstract A new algorithm has been developed for smoothing the surfaces in finite element formulations of contact-impact. A key feature of this method is that the smoothing is done implicitly by constructing smooth signed distance functions for the bodies. These functions are then employed for the computation of the gap and other variables needed for implementation of contact-impact. The smoothed signed distance functions are constructed by a moving least-squares approximation with a polynomial basis. Results show that when nodes are placed on a surface, the surface can be reproduced with an error of about one per cent or less with either a quadratic or a linear basis. With a quadratic basis, the method exactly reproduces a circle or a sphere even for coarse meshes. Results are presented for contact problems involving the contact of circular bodies. Copyright (C) 2002 John Wiley Sons, Ltd.
Keyword Mathematics, Interdisciplinary Applications
Engineering, Multidisciplinary
Contact
Finite Elements
Impact
Smoothing
Finite-element Formulation
Dynamics
Penalty
Q-Index Code C1

 
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