Szirbik Sándor, Mátyás (2016) Hypersingular boundary integral formulations for plane elasticity in terms of first-order stress functions. JOURNAL OF COMPUTATIONAL AND APPLIED MECHANICS, 11 (1). pp. 49-66. ISSN 1586-2070
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Abstract
In this paper the hypersingular integral equation method in the dual system of plane elasticity is developed and applied to mixed boundary value problems providing that the region under consideration is simply connected. The accuracy of stress calculations on the boundary is greatly increased if one applies hypersingular integral equations instead of using the traditional computational techniques of the boundary element method. In contrast to earlier results which formulate the hypersingular integral equations in the primal system of elasticity, we attack the plane problems in a dual formulation in which the stress functions of order one and the rigid body rotation are the fundamental variables. It is a further advantage of the dual formulation that the stress components can be obtained directly from the stress functions of order one. There is therefore no need for Hooke's law, which should be used when we determine the stress components on the boundary from displacements. The numerical examples presented prove the efficiency of this technique.
| Item Type: | Article |
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| Additional Information: | "A cikkben/előadásban/tanulmányban ismertetett kutató munka az EFOP-3.6.1-16-00011 jelű „Fiatalodó és Megújuló Egyetem – Innovatív Tudásváros – a Miskolci Egyetem intelligens szakosodást szolgáló intézményi fejlesztése” projekt részeként – a Széchenyi 2020 keretében – az Európai Unió támogatásával, az Európai Szociális Alap társfinanszírozásával valósul meg" = “The described article/presentation/study was carried out as part of the EFOP-3.6.1-16-00011 “Younger and Renewing University – Innovative Knowledge City – institutional development of the University of Miskolc aiming at intelligent specialisation” project implemented in the framework of the Szechenyi 2020 program. The realization of this project is supported by the European Union, co-financed by the European Social Fund.” |
| Uncontrolled Keywords: | dual formulation, stress functions of order one, strain boundary conditions, hypersingular formulation in the dual system |
| Subjects: | T Technology / alkalmazott, műszaki tudományok > T2 Technology (General) / műszaki tudományok általában |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 04 Jan 2026 10:54 |
| Last Modified: | 04 Jan 2026 10:54 |
| URI: | https://real.mtak.hu/id/eprint/231256 |
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