Application of complex path-independent integrals to locating circular holes and inclusions in classical plane elasticity
Application of complex path-independent integrals to locating circular holes and inclusions in classical plane elasticity
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Ioakimidis, Nikolaos
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Abstract
We propose an elementary method, based on complex path-independent integrals and the classical complex potentials of Kolosov–Muskhelishvili, for the location of the position of the centre and the determination of the radius of circular holes and inclusions of a different material (either simply inserted or attached) in an infinite plane isotropic elastic medium. In practice, the method of pseudocaustics can be successfully used as the related experimental method. Generalizations of the present results follow trivially.
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Keywords
Plane isotropic elasticity, Complex path-independent integrals, Circular holes, Circular inclusions, Rigid/elastic inclusions, Location of holes and inclusions, Complex potentials of Kolosov–Muskhelishvili, Complex variables, Analytic functions, Meromorphic functions, Residues, Contour integrals, Cauchy's theorem, Cauchy's residue theorem, Pseudocaustics