Propagator, radial

The shock wave in water results from the compression of the spherical layer of liquid in immediate contact with the high-pressure gas sphere produced by the detonation- This layer in turn compresses the next layer, and so on, so that a compression wave or shock wave is propagated radially outward thru the water. The shock wave has an extremely high pressure, but decays rapidly with distance and soon becomes an acoustic wave. Unlike a shock wave in air, the shock wave in water has no appreciable negative phase. While the compression wave is moving far outward, the original gas bubble continues... 

Picture a circular flyer impacting a slab of explosive. The shock wave generated at impact travels forward axially into the explosive. The edges of the shock are at ambient pressure hence a rarefaction forms at the edge and propagates radially inward, relieving the shock pressure from the sides. This effect is shown in Figure 22.7. 

Fig. 2. Successive stages of the tip-line bifurcation process of fault zone widening and generation of paired bounding slip surfaces (see text). The tip-line of a fault surface (e), part of which is shown shaded in (a)-(d), propagates upwards through a rock volume. The area shown in (a)-(d) is indicated by the rectangle in (e). With fault growth the elliptical tip-line bounding the fault surface propagates radially to the successive positions, a-d, shown in (e). The lines labelled I-III in (a) indicate successive positions of the fault surface tipline.

Particulate matter. Neural networks. Feed forward back propagation. Radial basis functions. Estimation Abstract... 

Equations (12.4)-(12.9) describe an outgoing transverse spherical wave propagating radially with the phase velocity v = cojk and having mutually perpendicular complex electric and magnetic field vectors. The wave is homogeneous in that the real and imaginary parts of the complex wave vector kx are parallel. The surfaces of constant phase coincide with the surfaces of constant amplitude and are spherical. Obviously,... 

The line-source technique is a transient method capable of very fast measurements. A line source of heat is located at the center of the sample being tested as shown in Fig. 4. The whole is at a constant initial temperature. During the course of the measurement, a known amount of heat is produced by the line source, resulting in a heat wave propagating radially into the sample. The rate of heat propagation is related to the thermal diffusivity of the polymer. The temperature rise of the line somce varies linearly with the logarithm of time. Starting with the Fourier equation, it is possible to develop a relationship which can be used directly to calculate the thermal conductivity of the sample from the slope of the linear portion of the curve ... 

BRITTLE/DUCTILE Some yielding, many propagating radial cracks in specimen. Circumferential cracks present. 

In the present ehapter, an analytical research on the damage in composite laminates due to a concentrated transverse load is reported. Special emphasis is placed on the interlaminar delaminations below the loading point, which usually occur in the form of multiple delaminations. Figure 1 shows an ultrasonic image of a damage in a quasi-isotropic CFRP laminate created by transverse indentation. Delaminations tended to propagate radially at all interfaces, with accompanying... 

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