The transient dynamic response of a single crack to an incident wave in an infinite elastic medium is studied. Nonlinearity in the response due to contact between crack faces during the motion is taken into account. A regularization of the hypersingular stress integral equation is presented where the hypersingular integrals are isolated and transformed into regular line integrals along the crack edge. This is made possible by giving a suitable form to the infinite-body elastodynamic Green tensor. In the case of a penny-shaped crack excited by a normally incident longitudinal wave, explicit formulae are given for a one-dimensional formulation requiring a discretization only along the crack radius. Numerical examples showing the crack response to low-frequency and high-frequency incident waves are presented.
Wave propagation in elastic media with cracks. Part I: transient nonlinear response of a single crack
CAPUANI, Domenico;
1997
Abstract
The transient dynamic response of a single crack to an incident wave in an infinite elastic medium is studied. Nonlinearity in the response due to contact between crack faces during the motion is taken into account. A regularization of the hypersingular stress integral equation is presented where the hypersingular integrals are isolated and transformed into regular line integrals along the crack edge. This is made possible by giving a suitable form to the infinite-body elastodynamic Green tensor. In the case of a penny-shaped crack excited by a normally incident longitudinal wave, explicit formulae are given for a one-dimensional formulation requiring a discretization only along the crack radius. Numerical examples showing the crack response to low-frequency and high-frequency incident waves are presented.I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.