A WELL-POSED SEMI-DISCRETIZATION OF ELASTODYNAMIC CONTACT PROBLEMS WITH FRICTION

It has been shown numerically in previous works that the well-posedness of the spatial semi-discretization plays a crucial role in obtaining stable numerical schemes for elastody-namic frictionless contact problems. The purpose of this paper is thus to introduce a mass redistribution method adapted...

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Bibliographic Details
Published inQuarterly journal of mechanics and applied mathematics Vol. 64; no. 2; pp. 215 - 238
Main Authors LIGURSKY, T, RENARD, Y
Format Journal Article
LanguageEnglish
Published Oxford Oxford University Press 01.05.2011
Oxford University Press (OUP)
Subjects
Engineering Sciences
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Mechanical contact (friction...)
Mechanics
Physics
Solid mechanics
Structural and continuum mechanics
Structural mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Well posed problem
Mechanical contact
Frictionless contact
Elastic wave
Elastodynamics
Time integration
Dry friction
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Summary:It has been shown numerically in previous works that the well-posedness of the spatial semi-discretization plays a crucial role in obtaining stable numerical schemes for elastody-namic frictionless contact problems. The purpose of this paper is thus to introduce a mass redistribution method adapted to elastodynamic contact with Coulomb friction that guarantees the well-posedness of the semi-discrete problem. It is shown that a differentiated treatment has to be applied to the friction condition. Some numerical tests illustrating the gain in stability for the midpoint time integration scheme are presented. They suggest also that, although the differentiated treatment is necessary for the well-posedness, it is not always mandatory from the numerical viewpoint.
ISSN:0033-5614
1464-3855
DOI:10.1093/qjmam/hbr004