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Numerical simulations on resonance poles – the trapping case of two plane cracks. (English) Zbl 0955.76083
Summary: We give a proof of the existence of acoustic resonance poles with Robin boundary conditions. The analysis of the elastic crack scattering problem allows us to distinguish two types of resonance poles – normal or tangential, and we present some numerical results based on a variational boundary element method. Considering two plane cracks, we also present some estimates to justify the difference between simulation results when the cracks lay on the same plane or on different ones, including a trapping case.

MSC:
76Q05 Hydro- and aero-acoustics
74M15 Contact in solid mechanics
74R10 Brittle fracture
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
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