ON THE OPERATOR OF THE THEORY OF CRACKS

Authors
KUZNETSOV SV
Citation
Sv. Kuznetsov, ON THE OPERATOR OF THE THEORY OF CRACKS, Comptes rendus de l'Academie des sciences. Serie II. Mecanique, physique, chimie, astronomie, 323(7), 1996, pp. 427-432
Citations number
11
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Comptes rendus de l'Academie des sciences. Serie II. Mecanique, physique, chimie, astronomie → ACNP
ISSN journal
12518069
Volume
323
Issue
7
Year of publication
1996
Pages
427 - 432
Database
ISI
SICI code
1251-8069(1996)323:7<427:OTOOTT>2.0.ZU;2-8
Abstract
A pseudodifferential operator (pdo) for the 3D equilibrium problem of a crack in an anisotropic medium is constructed by the use of Fourier transformation and regularization technique. Properties of the princip le symbol and the pdo are investigated. An expression for the elastic energy of crack opening is obtained. A numerical method based on the v ariational approach for a plane crack in an anisotropic medium with ar bitrary elastic anisotropy is proposed.