Autor(en): | Sievers, Michael |
Titel: | Convergence Analysis of a Local Stationarity Scheme for Rate-Independent Systems and Application to Damage |
Sprache (ISO): | en |
Zusammenfassung: | This paper is concerned with an approximation scheme for rate-independent systems governed by a non-smooth dissipation and a possibly non-convex energy functional. The scheme is based on the local minimization scheme introduced in [EM06], but relies on local stationarity of the underlying minimization problem. Under the assumption of Mosco-convergence for the dissipation functional, we show that accumulation points exist and are so-called parametrized solutions of the rate-independent system. In particular, this guarantees the existence of parametrized solutions for a rather general setting. Afterwards, we apply the scheme to a model for the evolution of damage. |
Schlagwörter: | rate independent evolutions damage semi-smooth Newton methods finite elements existence unbounded dissipation parametrized solutions |
URI: | http://hdl.handle.net/2003/40190 http://dx.doi.org/10.17877/DE290R-22062 |
Erscheinungsdatum: | 2021-04 |
Enthalten in den Sammlungen: | Ergebnisberichte des Instituts für Angewandte Mathematik |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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Ergebnisbericht Nr. 642.pdf | DNB | 3.76 MB | Adobe PDF | Öffnen/Anzeigen |
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