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Phase-field modeling of crack propagation based on multi-crack order parameters considering mechanical jump conditions

Schöller, Lukas 1; Schneider, Daniel 2; Prahs, Andreas 1; Nestler, Britta 1,2
1 Institut für Angewandte Materialien – Mikrostruktur-Modellierung und Simulation (IAM-MMS), Karlsruher Institut für Technologie (KIT)
2 Institut für Nanotechnologie (INT), Karlsruher Institut für Technologie (KIT)

Abstract (englisch):

The phase field method is commonly used for the crack propagation modeling in modern material science, as they allow for an implicit tracking of the crack surface. However, most of these crack propagation models are for homogeneous materials, and there exist only a few approaches for heterogeneous systems. Recently, Schöller et al. [1] presented a novel phase-field model for multiphase materials, e.g. composites, based on multi-crack crack order parameters. Despite the quantitative advantages of the model, it is based on a simple scheme for the underlying homogenization problem. In this work, a more advanced homogenization scheme based on mechanical jump condition is applied to the model. Consideration of these jump conditions yields phase-specific stresses and strains. Therefore, the mechanical driving force for crack propagation can be modeled as more independent of the elastic properties of other physical regions. Volume elements of a fiber reinforced polymer are used to demonstrate the limitations of the simple scheme, as well the improvement if considering mechanical jump conditions. Thereby, the contrast in the crack resistance of the two materials is varied. ... mehr


Verlagsausgabe §
DOI: 10.5445/IR/1000157250
Veröffentlicht am 24.03.2023
Originalveröffentlichung
DOI: 10.1002/pamm.202200039
Dimensions
Zitationen: 3
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Nanotechnologie (INT)
Institut für Angewandte Materialien – Mikrostruktur-Modellierung und Simulation (IAM-MMS)
Publikationstyp Zeitschriftenaufsatz
Publikationsdatum 24.03.2023
Sprache Englisch
Identifikator ISSN: 1617-7061
KITopen-ID: 1000157250
HGF-Programm 43.31.01 (POF IV, LK 01) Multifunctionality Molecular Design & Material Architecture
Erschienen in Proceedings in applied mathematics and mechanics
Verlag Wiley-VCH Verlag
Band 22
Heft 1, SI
Seiten Art.-Nr.: e202200039
Nachgewiesen in Dimensions
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