Hydrodynamic descriptions for surface roughness in fracture front propagation | Zendy

Abhik Basu | Zendy; Bikas K. Chakrabarti | Zendy

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Hydrodynamic descriptions for surface roughness in fracture front propagation

Author(s) -

Abhik Basu,

Bikas K. Chakrabarti

Publication year - 2018

Publication title -

philosophical transactions of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.074

H-Index - 169

eISSN - 1471-2962

pISSN - 1364-503X

DOI - 10.1098/rsta.2017.0387

Subject(s) - multifractal system , surface (topology) , turbulence , fracture (geology) , mechanics , surface finish , front (military) , surface roughness , fracture mechanics , geology , statistical physics , geometry , physics , materials science , fractal , geotechnical engineering , mathematics , mathematical analysis , composite material , thermodynamics , oceanography

Fracture is ubiquitous in a crystalline material. Inspired by the observed phenomenological similarities between the spatial profile of a fractured surface and velocities in hydrodynamic turbulence, we set up a hydrodynamic description for the dynamics of fracture surface propagation mode I or opening fracture front. We consider several related continuum hydrodynamic models and use them to extract the similarities between the profile of a fractured surface and velocities in hydrodynamic turbulence. We conclude that a fractured surface should be generically self-similar with an underlying multifractal behaviour.This article is part of the theme issue 'Statistical physics of fracture and earthquakes'.

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