Dudra, Judit and Szeidl, György (2015) On the direct BEM formulation in the dual system of plane elasticity for orthotropic bodies. JOURNAL OF COMPUTATIONAL AND APPLIED MECHANICS, 10 (2). pp. 147-168. ISSN 1586-2070
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Abstract
The paper is devoted to plane problems of orthotropic bodies in a dual formulation. After presenting the governing equations in terms of stress functions of order one, we determine the two fundamental solutions and set up the dual Somigliana relations both for inner and exterior regions. These include the boundary integral equations of the direct method. A constant stress state at infinity is part of the formulation established for exterior regions. We also derive an integral representation of the stresses. The numerical examples presented illustrate the applicability of the direct boundary integral equations.
| Item Type: | Article |
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| Uncontrolled Keywords: | Plane problems, orthotropic bodies, stress functions of order one, the dual Somigliana formulae, direct boundary element method |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika T Technology / alkalmazott, műszaki tudományok > TA Engineering (General). Civil engineering (General) / általános mérnöki tudományok T Technology / alkalmazott, műszaki tudományok > TJ Mechanical engineering and machinery / gépészmérnöki tudományok |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 16 Dec 2025 12:18 |
| Last Modified: | 16 Dec 2025 12:18 |
| URI: | https://real.mtak.hu/id/eprint/230855 |
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