Keywords:
Forschungsbericht
Description / Table of Contents:
Damage and fracture phenomena are related to the evolution of discontinuities both in space and in time. This contribution deals with methods from mathematical and numerical analysis to handle these: Suitable mathematical formulations and time-discrete schemes for problems with discontinuities in time are presented. For the treatment of problems with discontinuities in space, the focus lies on FE-methods for minimization problems in the space of functions of bounded variation. The developed methods are used to introduce fully discrete schemes for a rate-independent damage model and for the viscous approximation of a model for dynamic phase-field fracture. Convergence of the schemes is discussed.
Type of Medium:
Online Resource
Pages:
1 Online-Ressource (46 Seiten, 912,24 KB)
,
Diagramme
Series Statement:
Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik no. 2799
URL:
https://doi.org/10.20347/WIAS.PREPRINT.2799
DOI:
10.20347/WIAS.PREPRINT.2799
Language:
English
Note:
Literaturverzeichnis: Seite 41-44
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