Determination of stress state of anisotropic plates with rigid inclusions based on singular integral equations
| Autor: | O. Maksymovych, J. Jaroszewicz |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Dirichlet problem
Basis (linear algebra) Applied Mathematics Numerical analysis Mathematical analysis General Engineering 02 engineering and technology Singular integral 01 natural sciences Integral equation 010101 applied mathematics Stress (mechanics) Computational Mathematics Algebraic equation 020303 mechanical engineering & transports 0203 mechanical engineering Nyström method 0101 mathematics Analysis Mathematics |
| Zdroj: | Engineering Analysis with Boundary Elements. 95:215-221 |
| ISSN: | 0955-7997 |
| DOI: | 10.1016/j.enganabound.2018.07.004 |
| Popis: | In the paper singular integral equations for anisotropic plates with inclusions (the Dirichlet problem) are developed in the simple form on the basis of established dependencies between the Lekhnitskii complex potentials, stress and displacements. The numerical method for solving integral equations is developed on the basis of the quadrature method for the inclusion system. The eigen solutions of the problem were taken into consideration in this method. Simplicity, accuracy of the approach and stability of the obtained systems of algebraic equations are illustrated during: finding stress with controlled accuracy for systems of the large number of rigid inclusions, determining the high stress concentration near inclusions with corner points (the asymptotic method is additionally used). |
| Databáze: | OpenAIRE |
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