Open AccessThe Vibration of an Elastic Plane and Half Plane due to the Sudden Appearance of a Crack
Author(s) -
Alterman Z.,
Burridge R.,
Loewenthal D.
Publication year - 1971
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1971.tb02338.x
Subject(s) - plane (geometry) , vibration , geology , geometry , physics , seismology , mathematics , acoustics
Summary The motion of an infinite elastic plane medium and of a half plane is investigated subsequent to the sudden occurrence of a crack. This solution is derived by a finite difference technique. Results for the crack in the plane are compared with an independent solution for the problem obtained by solving integral equations numerically. Very good agreement is found. Oscillating waves with large amplitude decaying very slowly are found near the crack in the half plane. They do not occur near the crack in the plane. They are interpreted as surface waves trapped by the crack and the free surface of the elastic half plane.