Применение метода Галеркина в задаче о гармоническом нагружении пространства с трещиной

Translated title of the contribution: Application of the Galerkin method to solve the problem for the space with a crack under harmonic loading

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Abstract

The present paper is devoted to the application of the Galerkin method to solve the fracture mechanics problem for linearly elastic, homogeneous and isotropic solid with a plane crack under harmonic loading with allowance for the contact interaction of crack’s adjoining faces. The corresponding systems of linear algebraic equations were obtained. The divergent integrals in event of piecewise-linear shape functions were regularized.
Original languageRussian
Pages (from-to)44-48
Number of pages5
JournalReports of the National Academy of Sciences of Ukraine
Issue number8
Publication statusPublished - Aug 2005

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Galerkin methods
Cracks
Linear equations
Fracture mechanics

Cite this

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title = "Применение метода Галеркина в задаче о гармоническом нагружении пространства с трещиной",
abstract = "The present paper is devoted to the application of the Galerkin method to solve the fracture mechanics problem for linearly elastic, homogeneous and isotropic solid with a plane crack under harmonic loading with allowance for the contact interaction of crack’s adjoining faces. The corresponding systems of linear algebraic equations were obtained. The divergent integrals in event of piecewise-linear shape functions were regularized.",
author = "Oleksandr Menshykov",
year = "2005",
month = "8",
language = "Russian",
pages = "44--48",
journal = "Reports of the National Academy of Sciences of Ukraine",
issn = "1025-6415",
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N2 - The present paper is devoted to the application of the Galerkin method to solve the fracture mechanics problem for linearly elastic, homogeneous and isotropic solid with a plane crack under harmonic loading with allowance for the contact interaction of crack’s adjoining faces. The corresponding systems of linear algebraic equations were obtained. The divergent integrals in event of piecewise-linear shape functions were regularized.

AB - The present paper is devoted to the application of the Galerkin method to solve the fracture mechanics problem for linearly elastic, homogeneous and isotropic solid with a plane crack under harmonic loading with allowance for the contact interaction of crack’s adjoining faces. The corresponding systems of linear algebraic equations were obtained. The divergent integrals in event of piecewise-linear shape functions were regularized.

M3 - Article

SP - 44

EP - 48

JO - Reports of the National Academy of Sciences of Ukraine

JF - Reports of the National Academy of Sciences of Ukraine

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