Numerical simulations on resonance poles -- the trapping case of two plane cracks

DOI10.1016/S0377-0427(99)00148-XzbMath0955.76083OpenAlexW2033390951MaRDI QIDQ1964122

Carlos J. S. Alves

Publication date: 3 February 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00148-x

zbMATH Keywords

scatteringRobin boundary conditionscrack shapeelastic waveacoustic wavetrappingelastic crackexistence of acoustic resonance polesvariational boundary element method

Mathematics Subject Classification ID

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

Related Items (2)

Determination of elastic resonance frequencies and eigenmodes using the method of fundamental solutions ⋮ A Double Scale Fast Algorithm for the Transient Evolution of a Resonant Tunneling Diode

Cites Work

• Numerical computation of the scattering frequencies for acoustic wave equations
• On the boundary integral-equations for the crack opening displacement of flat cracks
• On the poles of the scattering matrix for two strictly convex obstacles
• Meromorphic families of compact operators
• Scattering by two penny-shaped cracks with spring boundary conditions
• Natural Frequencies of a Penny-Shaped Crack With Spring Boundary Condition
• Numerical resolution of the boundary integral equations for elastic scattering by a plane crack
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