The mathematical formulation of the problem of transient wave interaction with a crack in a homogeneous, isotropic, linearly elastic solid has been reduced to the solution of an integral equation over the insonified crack face. The integral equation relates the unknown crack‐opening displacement, which depends on time and position, to the incident wave field. The integral equation has been solved numerically by a time‐stepping method in conjunction with a boundary element discretization of the crack surface. For normal incidence of a longitudinal step‐stress wave on a penny‐shaped crack, results as functions of time have been obtained for the crack‐opening displacement, the elastodynamic Mode‐I stress intensity factor and the scattered far‐field.
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Hirose et al. (1989) studied this question.
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