Damage and fatigue described by a fractional derivative model

As in [1], damage is associated with fatigue that a material undergoes. In this paper, because we work with viscoelastic solids represented by a fractional model, damage is described by the order of the fractional derivative, which represents the phase field satisfying Ginzburg-Landau equation, whic...

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Bibliographic Details
Published in:Journal of computational physics 2015-07, Vol.293, p.400-408
Main Authors: Caputo, Michele, Fabrizio, Mauro
Format: Article
Language:English
Subjects:
Crack propagation
Damage
Derivatives
Evolution
Fatigue failure
Mathematical analysis
Mathematical models
Time functions
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Summary:As in [1], damage is associated with fatigue that a material undergoes. In this paper, because we work with viscoelastic solids represented by a fractional model, damage is described by the order of the fractional derivative, which represents the phase field satisfying Ginzburg-Landau equation, which describes the evolution of damage. Finally, in our model, damage is caused, not only by fatigue, but also directly by a source related to environmental factors and described by a positive time function.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2014.11.012