Trefftz functions for 3D stress concentration problems

• Autorzy: Murčinková Z. , Kompiš V. , Štiavnicky M.
• Języki publikacji: EN

Abstrakty

EN

The paper deals with solution of 3D problems with stress concentration using the Trefftz functions. The modelled stress concentrators are holes and cavities of spherical and ellipsoidal shapes. Moreover, the random spherical cavity microstructure is modelled. The Method of External Finite Element Approximation (MEFEA) is applied to simulate detailed stress state of mentioned stress concentrators. This boundary-type method was developed to build special approximation fund ions that are associated with surface which causes the stress concentration. The method does not need discretization by classical finite elements, however, instead of elements the domain is divided into Trefftz type subdomains. The displacement and force boundary conditions are met only approximately whereas the governing equations are fulfilled exactly in the volume for linear elasticity, making it possible to assess accuracy in terms of error in boundary conditions.

Słowa kluczowe

EN

3D problems; Trefftz functions; stress concentration

PL

zagadnienia 3D; funkcje Trefftza; koncentracja naprężeń

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2008
• Tom: Vol. 15, No. 3/4
• Strony: 305--318
• Opis fizyczny: Bibliogr. 5 poz., tab., wykr.

Twórcy

autor

Murčinková Z.

autor

Kompiš V.

autor

Štiavnicky M.

• Technical University Košice, Presov, Slovak Republik

Bibliografia

• [1] V.N. Apanovitch: The Method of External Finite Element Approximation. Minsk, 1991.
• [2] V. KompiS, M. Stiavnicky. Trefftz functions in FEM, BEM and meshless methods. Computer Assisted Mechanic and Engineering Science, 13: 417-426, 2006.
• [3] B. Pluymers et al. Application of hybrid finite element - Trefftz approach for acoustic analysis. In: Numerical Methods in Continuum Mechanics, 4th Workshop on Trefftz Methods, University of Zilina, Zilina, 2005.
• [4] G.Y. Zhang et al. A linearly conforming point interpolation method (LC-PIM) for three-dimensional problems International Journal for Numerical Methods in Engineering, 72(13): 1524-1543, 2007.
• [5] M. Zmindak, P. Novak. Meshless methods for analysis of composites reinforced by rigid inclusions. In: Proceedings: International Scientific Conference MITECH, ČZu, Praha, 2008-