Titelaufnahme

Titel
A Papkovich-Neuber-based numerical approach to cracks with contact in 3D
Verfasser/ VerfasserinHintermüller, Michael In der Gemeinsamen Normdatei der DNB nachschlagen ; Kovtunenko, Victor A. ; Kunisch, Karl In der Gemeinsamen Normdatei der DNB nachschlagen
Erschienen in
IMA Journal of Applied Mathematics, Oxford, 2009, Jg. 74, H. 3, S. 325-343
ErschienenOxford Univ. Press
Ausgabe
Accepted version
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (EN)crack with non-penetration / constrained optimization problem / primaldual active set algorithm / PapkovichNeuber representation / numerical calculation
ISSN1464-3634
URNurn:nbn:at:at-ubg:3-1038 Persistent Identifier (URN)
DOIdoi:10.1093/imamat/hxp017 
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A Papkovich-Neuber-based numerical approach to cracks with contact in 3D [1.38 mb]
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Zusammenfassung (Englisch)

The mathematical model of a crack with non-penetration conditions is considered in the framework of 3D elasticity. The spatial crack problem is investigated with respect to its numerical realization in the context of constrained optimization. Specifically, for homogeneous isotropic solids with planar cracks, a PapkovichNeuber-based representation is adopted. It allows to employ a primaldual active set strategy with an unconditional global and monotone convergence property. The iterates turn out to be primally feasible. Illustrative numerical examples are presented.

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