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Scattering by two penny-shaped cracks with spring boundary conditions

Anders Boström (Institutionen för tillämpad mekanik, Dynamik) ; Arne S. Eriksson (Institutionen för mekanik och hållfasthetslära, Mekanik)
Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences (1364-5021). Vol. 443 (1993), p. 183-201.
[Artikel, refereegranskad vetenskaplig]

The elastodynamic scattering by a penny-shaped crack with spring boundary conditions is investigated. The transition (T) matrix of the crack is determined and the usefulness of this is illustrated by considering also the scattering by two cracks. The T matrix of a single crack is first determined by a direct integral equation method which gives the crack-opening displacement and the integral representation which subsequently gives the scattered field expanded in spherical waves. Two cracks are considered by a multi-centred T matrix approach where matrix inverses are expanded in Neuman series. Rotation matrices are employed so that the cracks may have an arbitrary rotation. The back-scattered longitudinal far field amplitude is computed both in the frequency and time domain in a few cases and the effects due to multiple scattering are in particular explored.

Nyckelord: elastix waves, scattering, circular crack

Denna post skapades 2014-01-08. Senast ändrad 2015-03-30.
CPL Pubid: 191821


Institutioner (Chalmers)

Institutionen för tillämpad mekanik, Dynamik (1900-2017)
Institutionen för mekanik och hållfasthetslära, Mekanik (1972-2003)


Teknisk mekanik

Chalmers infrastruktur