Моделювання контактної взаємодії двох трансверсально-ізотропних пружних півпросторів за наявності жорсткого дископодібного включення між ними і тиску на ділянці розшарування
A rigorous mathematical model is used for analyzing the contact interaction of two transversally isotropic elastic half-spaces with different properties under compression in the presence of a hard disk-like inclusion between them and pressure in the region of material separation. The solution to the...
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| Date: | 2020 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"
2020
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| Subjects: | |
| Online Access: | http://journal.iasa.kpi.ua/article/view/209141 |
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| Journal Title: | System research and information technologies |
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System research and information technologies| Summary: | A rigorous mathematical model is used for analyzing the contact interaction of two transversally isotropic elastic half-spaces with different properties under compression in the presence of a hard disk-like inclusion between them and pressure in the region of material separation. The solution to the problem is obtained by presenting a general solution of the system of equilibrium equations for a transversely isotropic body through harmonic functions, reducing the boundary-value problem to considering the integral equation, expanding the desired function in a small parameter. As a special case, the found contact results for the main contact parameters for two elastic isotropic half-spaces (in the presence of inclusion between them and pressure in the region of separation). Numerical results are obtained, the influence of the elastic properties of half-spaces, the geometric dimensions of the inclusion and loads on the parameters of contact interaction are studied. |
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