Numerical experiments on the resonance poles associated to acoustic and elastic scattering by a plane crack. (English) Zbl 0874.73077

Alves, Carlos; Ha Duong, Tuong

Cohen, Gary (ed.), Mathematical and numerical aspects of wave propagation. Proceedings of the third international conference, Mandelieu-La Napoule, France, April 24–28, 1995. Philadelphia, PA: Society for Industrial and Applied Mathematics. 544-553 (1995).

Summary: We consider either an acoustic or an elastic wave with complex frequency incident on a plane crack of arbitrary shape in a three-dimensional space. Then we apply the variational boundary equation method to develop a numerical algorithm calculating the resonance poles in the scattering problem. Several tests are made in order to obtain a relation between these poles and the peaks of the scattering cross-section produced by incident waves with real frequencies.
For the entire collection see [Zbl 0846.00038].

MSC:

74S30	Other numerical methods in solid mechanics (MSC2010)
74P10	Optimization of other properties in solid mechanics
74J20	Wave scattering in solid mechanics
74R99	Fracture and damage

Keywords:

peaks of scattering cross-section; variational boundary equation method