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An FFT‐based solver for brittle fracture on heterogeneous microstructures

Ernesti, Felix; Schneider, Matti; Böhlke, Thomas ORCID iD icon


The description of material failure as an energy minimization problem, i.e., the Francfort–Marigo model, has been studied widely in recent years. The approximation of the crack surface as a phase field, i.e., smeared interface, enjoys great popularity, as it allows describing fracture as a set of partial differential equations. In numerical homogenization, FFT‐based solution methods have been established over the past two decades. Their purpose is to compute the overall response of a heterogeneous microstruture w.r.t. a macroscopic loading and can be applied to a variety of nonlinear materials. The benefits lie in a fast implementation and the possibility to use image data like CT‐scans as input without further need for meshing. Based on the results of the master thesis of the first author, we investigate phase field crack propagation on heterogeneous microstructures using FFT‐based solvers.

Verlagsausgabe §
DOI: 10.5445/IR/1000105974
Veröffentlicht am 06.08.2020
DOI: 10.1002/pamm.201900151
Zitationen: 1
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Technische Mechanik (ITM)
Publikationstyp Zeitschriftenaufsatz
Publikationsmonat/-jahr 11.2019
Sprache Englisch
Identifikator ISSN: 1617-7061, 1617-7061
KITopen-ID: 1000105974
Erschienen in Proceedings in applied mathematics and mechanics
Verlag Wiley-VCH Verlag
Band 19
Heft 1
Seiten Art. Nr.: e201900151
Bemerkung zur Veröffentlichung Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)
Vorab online veröffentlicht am 18.11.2019
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