Stress wave propagation from electrical discharge on cylindrical aluminum rod

Chretien, N.

doi:10.1016/0041-624x(78)90092-6

Cited by 4 publications

(3 citation statements)

References 2 publications

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“…Moreover, (6) indicates that there exists a critical frequency below which no propagation is allowed but the waves will delay severely as we travel away from the source. This critical frequency is given by:…”

Section: Basic Equationsmentioning

confidence: 99%

“…Also, Chretien [6] applied the method of stationary phase for the calculation of the time of arrival of the different modes of wave propagation and their dominant frequencies in cylinders. In these calculations, the source representing a crack was taken to be a delta function and the effect of distance between the source and the sensor in solid cylinders was examined.…”

Section: Introductionmentioning

confidence: 99%

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Propagation of a transient shear wave from a crack in an elastic plate

Bassim

Wassef

1990

Int J Fract

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A simple analytical technique based on the methods of transverse resonance and group velocity is developed in order to predict the propagation of shear (SH) waves emitted from a crack in elastic plates. Since a total solution of the Rayleigh Lamb waves propagation inside the plate is very complicated, the simple SH mode was used to demonstrate the argument of this paper. The effects of varying distances between the crack and the sensor are also discussed.

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Section: Basic Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Propagation of a transient shear wave from a crack in an elastic plate

Bassim

Wassef

1990

Int J Fract

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“…Many researchers in the past few years made significant contributions to this problem. For example Chretien [1] studied the time of arrival and frequencies of the different modes of wave propagation in a solid cylindrical metallic rod due to the excitation by an electrical spark (represented by a delta function). The method of stationary phase was applied to obtain the time of arrival of waves for different separations between source and sensor.…”

Section: Introductionmentioning

confidence: 99%

Shear waves from an external acoustic wave generator acting on a crack in a rectangular strip

Wassef

Bassim

1985

Int J Fract

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An analytical solution for the wave equation in a rectangular elastic strip and in the presence of an external harmonic wave generator acting on a crack is derived. This source is spatially distributed in a generalized mathematical form near the vicinity of the tip of the crack and acts normal to its faces. Two limiting cases (1) a uniform distribution and (2) Dirac's delta function distribution are solved. Examples of the relation between the displacement at the epicenter and the crack length for different body force distributions are shown.

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