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A boundary‐value problem for an infinite elastic strip with a semi‐infinite crack
Author(s) -
Itou Hiromichi,
Tani Atusi
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700265
Subject(s) - traction (geology) , mathematical analysis , boundary value problem , semi infinite , mathematics , fredholm integral equation , plane (geometry) , free boundary problem , boundary (topology) , singular integral , integral equation , geometry , engineering , mechanical engineering
In this paper we consider a boundary value problem for an infinite elastic strip with a semi‐infinite crack. The mass forces are supposed to be zero; on the crack the free traction boundary conditions are posed. The usage of the plane elastic single and double layer potentials reduces the problem to a system of singular integral equations. It is shown that this system is uniquely solvable in the appropriate Hölder spaces by the Fredholm alternative. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)