Solving the Third Homogeneous Boundary-Value Problem of the Deformation of a Transversely Isotropic Plate with a Curved Hole Under Uniform Tension

The problem of the stress state of an unbounded transversely isotropic plate with a curved (noncircular) hole is solved by expanding the unknown functions into Fourier–Legendre series and using the boundary-shape perturbation method. The plate is subject to uniform tension at infinity and the normal...

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Bibliographic Details
Published inInternational applied mechanics Vol. 52; no. 6; pp. 605 - 615
Main Authors Khoma, I. Yu, Dashko, O. G.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.11.2016
Springer
Springer Nature B.V
Subjects
Applications of Mathematics
Boundary value problems
Classical Mechanics
Fourier series
Mathematical analysis
Perturbation methods
Physics
Physics and Astronomy
square hole
stress state
curved (noncircular) hole
triangular hole
unbounded transversely isotropic plate
elliptical hole
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ISSN1063-7095
1573-8582
DOI10.1007/s10778-016-0781-3

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Summary:The problem of the stress state of an unbounded transversely isotropic plate with a curved (noncircular) hole is solved by expanding the unknown functions into Fourier–Legendre series and using the boundary-shape perturbation method. The plate is subject to uniform tension at infinity and the normal displacement and tangential stresses are zero at the hole edge. The numerical data are analyzed
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ISSN:1063-7095
1573-8582
DOI:10.1007/s10778-016-0781-3