Розв’язок плоскої задачі теорії пружності для кільцевого сектора
By using the direct integration method with regard to the original equations within the framework of a plane elasticity problem for an annular wedge, a solution technique is suggested concerning the reduction to a governing integro-differential equation for Vihak’s key function. A system of the loca...
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| Date: | 2021 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine
2021
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| Subjects: | |
| Online Access: | http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2021.19.63-71 |
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| Journal Title: | Prykladni Problemy Mekhaniky i Matematyky |
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Prykladni Problemy Mekhaniky i Matematyky| Summary: | By using the direct integration method with regard to the original equations within the framework of a plane elasticity problem for an annular wedge, a solution technique is suggested concerning the reduction to a governing integro-differential equation for Vihak’s key function. A system of the local boundary conditions and integral ones for the key function is derived on the basis of the normal and tangential force loadings imposed on the rectilinear and circumferential segments of the wedge boundary. The equilibrium conditions are derived for the given force loading, which are necessary for existence of the solution to the problem formulated. Cite as: M. Yo. Yuzvyak, Yu. V. Tokovyy, “A solution to the plane elasticity problem for an annular wedge,” Prykl. Probl. Mekh. Mat., Issue 19, 63–71 (2021) (in Ukrainian), https://doi.org/10.15407/apmm2021.19.63-71 |
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