Визначення напружень у багатозв’язній анізотропній півплощині на основі модифікованих інтегральних рівнянь
Integral equations for multiconnected anisotropic half-planes are written with additional utiliration the Green-type solution. The approach is developed to solve integral equations by means of the mechanical quadrature method for a system of openings. The simplicity and accuracy of the approach is i...
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| Date: | 2018 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine
2018
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| Subjects: | |
| Online Access: | http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/2473 |
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| Journal Title: | Prykladni Problemy Mekhaniky i Matematyky |
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Prykladni Problemy Mekhaniky i Matematyky| Summary: | Integral equations for multiconnected anisotropic half-planes are written with additional utiliration the Green-type solution. The approach is developed to solve integral equations by means of the mechanical quadrature method for a system of openings. The simplicity and accuracy of the approach is illustrated when studying the high stress concentration near the opening which is close to the half-plane boundary (asymptotic method has been used additionally), and also when computing the stresses with controlled accuracy for the systems of openings. Cite as: Maksymovych О. V., Solyar T. Ya. Determination of stresses in a multiconnected anizotropic half-plane on the basis of modifired integral equation // Appl. Probl. Mech. Math. – 2017. – No. 15. – С. 109–117. [In Ukrainian] |
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