Wave propagation in an elastic medium with a random distribution of aligned penny-shaped cracks which may open under tension and close under compression is analysed. The problem is formulated in terms of the ensemble averages of displacement, strain and stress fields and an effective constitutive relation is adopted which contains an internal variable defining the mean opening of the cracks. An integral representation of the effective displacement field is given and the nonlinear case of plane-wave disturbances traveling along the direction normal to the crack surfaces is developed in detail. The model makes allowance for partial crack closure and can deal with general time-dependent loadings.

Nonlinear scattering of waves by cracks

CAPUANI, Domenico;
1998

Abstract

Wave propagation in an elastic medium with a random distribution of aligned penny-shaped cracks which may open under tension and close under compression is analysed. The problem is formulated in terms of the ensemble averages of displacement, strain and stress fields and an effective constitutive relation is adopted which contains an internal variable defining the mean opening of the cracks. An integral representation of the effective displacement field is given and the nonlinear case of plane-wave disturbances traveling along the direction normal to the crack surfaces is developed in detail. The model makes allowance for partial crack closure and can deal with general time-dependent loadings.
1998
9810236697
Crack; wave propagation; microstructure; damage
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/1193117
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