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.I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.