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3D scattering of waves by a cylindrical irregular cavity of infinite length in a homogeneous elastic medium. (English) Zbl 1012.74034

The authors consider an irregular cylindrical cavity of infinite length contained in a homogeneous elastic medium under the action of a dilational point load (blast load), and calculate the three-dimensional (3D) wave field scattered by this cavity. The incident field is expressed by means of classical dilatational potential, effective wavenumbers are found by means of axial wavenumber, and the Fourier transform of the above potential is obtained. Then the 3D field generated by the cylindrical cavity is determined by boundary element method for a wide range of frequencies and spatially harmonic line loads.

This model is used to assess the influence of receiver position on the propagation of both axisymmetric and non-axisymmetric wave modes in cavities with different cross-sections, namely a circular, an oval, a thin oval, a kidney and a boomerang cross-sections. Both the time response and Fourier spectral representation are included in the visualization of different wave components.

Reviewer: A.Trad (Paris)
MSC:
74J20Wave scattering (solid mechanics)
74S15Boundary element methods in solid mechanics
86A15Seismology