In-plane inverse problem on crack identification in the elastic half-space.
Author(s) -
Michele Ciarletta,
Gerardo Iovane,
M.A. Sumbatyan
Publication year - 2013
Publication title -
mechanics - proceedings of national academy of sciences of armenia
Language(s) - English
Resource type - Journals
eISSN - 1829-3999
pISSN - 0002-3051
DOI - 10.33018/66.1.3
Subject(s) - identification (biology) , plane (geometry) , inverse problem , space (punctuation) , inverse , mathematics , mathematical analysis , materials science , geometry , computer science , operating system , botany , biology
In this work we study a homogeneous and isotropic elastic half-space in the context of in-plane deformation. The aim of the paper is to propose a powerful mathematical tool to solve the inverse problem, which is connected to crack reconstruction inside the half-space. In particular, position and sizes of the linear crack, parallel to its boundary surface, are determined. The formulation of the considered inverse problem is based on a system of integral equations of the first kind.
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