Контактна задача для шару за врахування тертя
A numerical algorithm has been developed for solving a frictional contact problem concerning the interaction of a layer with punches of complex shapes. The algorithm is based on the application of the integral equation method and reduction to a quadratic programming problem. The kernels of the integ...
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| Datum: | 2024 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Veröffentlicht: |
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine
2024
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| Schlagworte: | |
| Online Zugang: | http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2024.22.106-116 |
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| Назва журналу: | Prykladni Problemy Mekhaniky i Matematyky |
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Prykladni Problemy Mekhaniky i Matematyky| Zusammenfassung: | A numerical algorithm has been developed for solving a frictional contact problem concerning the interaction of a layer with punches of complex shapes. The algorithm is based on the application of the integral equation method and reduction to a quadratic programming problem. The kernels of the integral equations are derived using the fundamental solution for a layer, represented in a compact analytical form. The contact problem with an unknown contact region is formulated in terms of Signorini-type integral equations-inequalities. By employing cubature formulas, the problem is discretized into a system of linear algebraic equations-inequalities, which is subsequently transformed into a quadratic programming problem. The efficiency and applicability of the developed algorithm are demonstrated through the analysis of frictional contact interactions between the layer and punches of various shapes. Cite as: O. I. Soliar, Frictional contact problem for a layer,” Prykl. Probl. Mekh. Mat., Issue 22, 106-116 (2024) (in Ukrainian), https://doi.org/10.15407/apmm2024.22.106-116 |
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