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 for interactions measures and deformation are provided. It is shown that in some classes of quasicrystals the microstress due to atomic rearrangements increases with the velocity of the crack tip. Unusual Mach number limits are determined. Numerical experiments describing peculiar aspects of the crack propagation in quasicrystals are performed by varying parametrically the coupling coefficient between macroscopic deformation and substructural events, so classes of quasicrystals are compared.
Dynamic steady state crack propagation in quasicrystals / Enrico Radi; Paolo Maria Mariano. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - STAMPA. - 34:(2011), pp. 1-23. [10.1002/mma.1325]
Dynamic steady state crack propagation in quasicrystals
Paolo Maria Mariano
2011
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 for interactions measures and deformation are provided. It is shown that in some classes of quasicrystals the microstress due to atomic rearrangements increases with the velocity of the crack tip. Unusual Mach number limits are determined. Numerical experiments describing peculiar aspects of the crack propagation in quasicrystals are performed by varying parametrically the coupling coefficient between macroscopic deformation and substructural events, so classes of quasicrystals are compared.File | Dimensione | Formato | |
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