TITLE: Numerical Resolution of the Boundary Integral Equations 
for Elastic Scattering by a Plane Crack

Authors: Carlos ALVES and Tuong HA DUONG


SUMMARY: The problem of wave scattering by a plane crack is solved,
either in the case of acoustic waves or in the case of elastic waves 
incidence using the boundary integral equation method. A collocation 
method is often used to solve that equation, but here we'll use a 
variational method, first writing the problem in Fourier variables, 
and then writing the associated integrals in the sesquilinear form 
with weak singularity kernels. This representation is used in the 
numerical approach, made with a finite element method in the surface 
of the crack. Numerical tests were made with circular and elliptical 
cracks, but this method can be extended to other shapes, with the 
same convergence profiles. Extensive results are given concerning the 
crack opening displacement, the scattering cross section, the back 
scattered amplitude and far field patterns„.


Copies of this paper will be sent by ordinary mail, since the text
is not available in TEX format. Requests should be sent to:
			alves@cmapx.polytechnique.fr