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Anti-plane inverse problem for inclined cracks in the elastic half-space

✍ Scribed by M. Ciarletta; G. Iovane; M.A. Sumbatyan

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 240 KB
Volume: 36
Category: Article
ISSN: 0093-6413
DOI: 10.1016/j.mechrescom.2008.12.002

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✦ Synopsis

The present paper is concerned with the reconstruction of position, slope angle and size of a linear crack located in the elastic half-space, in the case of anti-plane (shear) deformation. It is assumed that the input data are given from the measurements of the boundary surface settlement. We first construct Green's function in the half-space with a free boundary line, then formulate respective direct problem as a certain hyper-singular integral equation. Then it becomes clear that the studied inverse problem can be reduced to an optimization problem for a certain non-linear functional. We propose a minimization method based on an advanced random search.

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