Flexural edge waves generated by steady-state propagation of a loaded rectilinear crack in an elastically supported thin plate.

ABSTRACT: The problem of a rectilinear crack propagating at constant speed in an elastically supported thin plate and acted upon by an equally moving load is considered. The full-field solution is obtained and the spotlight is set on flexural edge wave generation. Below the critical speed for the appearance of travelling waves, a threshold speed is met which marks the transformation of decaying edge waves into edge waves propagating along the crack and dying away from it. Yet, besides these, and for any propagation speed, a pair of localized edge waves, which rapidly decay behind the crack tip, is also shown to exist. These waves are characterized by a novel dispersion relation and fade off from the crack line in an oscillatory manner, whence they play an important role in the far field behaviour. D

SUBMITTER: Nobili A 

PROVIDER: S-EPMC5582183 | biostudies-literature | 2017 Aug

REPOSITORIES: biostudies-literature