Abstract
The destructive interaction of stress waves with materials is based on a previously described least action law for fracture in connection with Fourier methods of spectral pulse analysis. We are led to a number of new concepts and a quantitative meaning of fracture penetration depth and cross section for fracture. An uncertainty relation is discussed, according to which the spectral range of cracks participating in fracture is defined. A long and a short pulse of equal energy are compared to show that pulse attenuation by fracture depends not only on pulse energy but also on the energy density of the pulse. The residual pulse, i.e. the pulse shape and energy after it has lost its capability to rupture the material is determined.
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