caa a22 4500 469043423 CHVBK 20180323132817.0 cr unu---uuuuu 170328e19920501xx s 000 0 eng 10.1007/BF01200328 doi (NATIONALLICENCE)springer-10.1007/BF01200328 Ha-Duong Tuong CMAP, Ecole Polytechnique, F-91128, Palaiseau Cedex aut On the boundary integral equations for the crack opening displacement of flat cracks [Elektronische Daten] [Tuong Ha-Duong] The boundary integral equations for the crack opening displacement in acoustic and elastic scattering problems are discussed in the case of flat cracks by means of the Fourier analysis technique. The pseudo-differential nature of the hypersingular integral operators is shown and their symbols explicited. It is then proved that the variational problems assocaited with these BIE are well-posed in a Sobolev functional framework which is closely linked with the elastic energy. A decomposition of the vector integral equation in the elastic case into scalar integral equations is obtained as a by-product of the variational formulation. Birkhäuser Verlag, 1992 45A05 nationallicence 45F15 nationallicence 73D25 nationallicence Integral Equations and Operator Theory Birkhäuser-Verlag 15/3(1992-05-01), 427-453 0378-620X 15:3<427 1992 15 20 https://doi.org/10.1007/BF01200328 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01200328 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Ha-Duong Tuong CMAP, Ecole Polytechnique, F-91128, Palaiseau Cedex aut NATIONALLICENCE 773 0- Integral Equations and Operator Theory Birkhäuser-Verlag 15/3(1992-05-01), 427-453 0378-620X 15:3<427 1992 15 20 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer