A non-element method of solving the two-dimensional Navier-Lamé equation in problems with non-homogeneous polygonal subregions

• Autorzy: Zieniuk E. , Bołtuć A.
• Języki publikacji: EN

Abstrakty

EN

The paper introduces a parametric integral equation system (PIES) for solving 2D boundary problems defined on connected polygonal domains described by the Navier-Lame equation. Parametric linear functions were applied in the PIES to define analytically the polygonal subregions' interfaces. Only corner points and additional extreme points on the interface between the connected subregions are posed to practically define a polygonal domain. An important advantage of this approach is that the number of such points is independent of the area of identically shaped domains due to the elimination of traditional elements from modeling, the number of those elements being dependent on the domain's surface area. In order to test the reliability and effectiveness of the proposed method, test examples are included in which areas of displacements and stresses are analyzed in each subregion.

Słowa kluczowe

EN

Navier-Lamé equation; boundary problems; subregions; PIES

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2008
• Tom: Vol. 12, No 1-2
• Strony: 71--84
• Opis fizyczny: Bibliogr. 17 poz., rys., tab.

Twórcy

autor

Zieniuk E.

autor

Bołtuć A.

• University of Bialystok, Institute of Computer Science, Sosnowa 64, 15-887 Bialystok, Poland,

Bibliografia

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