Розв’язування першої та другої крайових задач теорії пружності про усталені коливання півпростору з еліптичною тріщиною методом граничних інтегральних рівнянь
The three-dimensional dynamic problem of elastic half-space with a plane elliptical crack isconsidered. The cracks surface are under time-stationary discontinuous loads. Cases of free andclamped half-space surfaces is considered. The problem is solved by boundary integral equations(BIE) method. Usin...
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| Date: | 2018 |
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| Main Author: | |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України
2018
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| Subjects: | |
| Online Access: | https://www.fmmit.lviv.ua/index.php/fmmit/article/view/64 |
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| Journal Title: | Physico-mathematical modeling and informational technologies |
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Physico-mathematical modeling and informational technologies| Summary: | The three-dimensional dynamic problem of elastic half-space with a plane elliptical crack isconsidered. The cracks surface are under time-stationary discontinuous loads. Cases of free andclamped half-space surfaces is considered. The problem is solved by boundary integral equations(BIE) method. Using the Helmholtz potential, the problem is reduced to one BIE relativelyunknown crack opening function. With the solutions of the problem are obtained depending on thedynamic stress intensity factors at different points of the contour of the defect on the frequency ofthe applied load, the eccentricity of the ellipse, the depth of the cracks and the type of boundaryconditions on the half-space surface. |
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