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Phase‐Field Simulations of Cracks under Dynamic Loading
Author(s) -
Bilgen Carola,
Wieners Christian,
Weinberg Kerstin
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900074
Subject(s) - brittle fracture , fracture mechanics , mechanics , phase field models , focus (optics) , phase (matter) , brittleness , field (mathematics) , fracture (geology) , robustness (evolution) , computer science , materials science , geology , physics , structural engineering , engineering , geotechnical engineering , mathematics , optics , composite material , quantum mechanics , pure mathematics , biochemistry , chemistry , gene
Phase‐field fracture simulations have been established to simulate crack propagation in fracture mechanics. This contribution sets the focus on different driving forces for crack growth and on the simulation of waves propagating along the fractured interfaces. Typically, phase‐field methods for brittle fracture employ a variational framework which has been proven to converge to Griffith’ classical model. This approach, however, has limits in the pressure dominated regime. For that reason we propose ad‐hoc driving forces which are motivated physically using general fracture mechanic concepts. Additionally we investigate the effect of the phase‐field modeled cracks and interfaces on the propagation of the arising waves. The accuracy and the robustness of the simulation method will be demonstrated by numerical examples.