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Modeling and numerical simulation of crack growth and damage with a phase field approach
Author(s) -
Weinberg Kerstin,
Dally Tim,
Schuß Stefan,
Werner Marek,
Bilgen Carola
Publication year - 2016
Publication title -
gamm‐mitteilungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.239
H-Index - 18
eISSN - 1522-2608
pISSN - 0936-7195
DOI - 10.1002/gamm.201610004
Subject(s) - finite element method , a priori and a posteriori , fracture mechanics , field (mathematics) , void (composites) , smoothness , phase field models , fracture (geology) , phase (matter) , mechanics , computer science , inverse , materials science , structural engineering , mathematics , physics , engineering , mathematical analysis , geometry , composite material , philosophy , epistemology , quantum mechanics , pure mathematics
Phase field methods allow for convenient and efficient moving interface simulations. In this paper phase field approaches of different order are presented, and applied to simulate damage in solids of temperature dependent and non‐linear elastic materials. The numerical framework provides a NURBS based finite element method which minimizes the numerical and computational effort without impairing the smoothness required by the problem. In order to demonstrate the possibilities of such general phase field approaches a series of different models from material science and fracture mechanics is investigated. Specifically, a priori unknown crack propagation in different fracture modes is studied, simulations of thermomigration in a technical alloy and of void growth are presented and an inverse analysis of a dynamic fracture experiment is performed. The examples show the versatility of the presented low‐order and high‐order phase field approaches. (© 2016 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)