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Dynamic steady‐state crack propagation in quasi‐crystals
Author(s) -
Radi Enrico,
Mariano Paolo Maria
Publication year - 2010
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1325
Subject(s) - planar , mach number , scrutiny , mathematics , mechanics , steady state (chemistry) , coupling (piping) , mathematical analysis , classical mechanics , physics , materials science , law , composite material , chemistry , computer graphics (images) , computer science , political science
Abstract The steady propagation of planar cracks in quasi‐crystalline bodies with velocity lower than the one of bulk elastic macroscopic waves is under scrutiny. Closed‐form solutions to the balance laws are provided. Unusual Mach number limits are determined. Numerical experiments describing peculiar aspects of the crack propagation in quasi‐crystals are performed by varying parametrically the coupling coefficient between macroscopic deformation and substructural events. In this way, classes of quasi‐crystals are then compared. Copyright © 2010 John Wiley & Sons, Ltd.