A quadrilateral hybrid-stress macro-element with incompatible internal displacements

• Autorzy: Bozduganova V.
• Konferencja: Mechanics 2008 / International Scientific Conference (VI; 2008; Rzeszow, Poland)
• Języki publikacji: EN

Abstrakty

EN

A quadrilateral macro-element, containing two-triangle elements, is developed by the hybrid-stress method with incompatible internal quadratic displacements. Stress approximation satisfies the energy compatibility condition. The element stiffness matrix is determined by the Hellinger-Reissner principle. Several test problems are used to compare displacement and stress solution accuracy of the proposed macro-element with published in the literature solutions.

Słowa kluczowe

EN

macroelement; hybrid stress; internal displacement

PL

makroelement; naprężenie hybrydowe; przesunięcie wewnętrzne

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Zeszyty Naukowe Politechniki Rzeszowskiej. Mechanika
• Rocznik: 2008
• Tom: z. 73 [253]
• Strony: 27--34
• Opis fizyczny: Bibliogr. 11 poz., tab., rys.

Twórcy

autor

Bozduganova V.

• University of Rousse, Bulgaria

Bibliografia

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• 3. Pian T.H., Chen D.P.: On the suppression of zero energy deformation modes. Int. J. Numer. Methods Eng., 19, 1741-1752, 1983.
• 4. Pian T.H., Sumihara K.: Rational approach for assumed stress finite elements. Int. J. Numer. Methods Eng., 20, 1685-1695, 1984.
• 5. Pian T.H.: Some notes on the early history of hybrid stress finite element method. Int. J. Numer. Methods Eng., 47, 419-425, 2000.
• 6. Spilker R.L., Maskeri S.M., Kania K.: Plane isoparametric hybrid-stress elements: invariance and optimal sampling. Int. J. Numer. Methods Eng., 17, 1469-1496, 1981.
• 7. Wilson E.L, Taylor R.L., Doherty W.P., Ghaboussi J.: Incompatible displacement models. Numerical and Computer Methods in Structural Mechanics, Fenves SJ et al. (eds). Academic Press: New York, 41-57, 1973.
• 8. Wu C.C., Cheung V.: On optimization approaches of hybrid stress elements. Finite Elements Anal. Des., 21. 111-128, 1995.
• 9. Xiao-Ping Xie. An accurate hybrid macro-element with linear displacements. Commun. Numer. Methods Eng., 21, 1-12, 2005
• 10. Xie Xiaoping, Tianxiao Zhou. Optimization of stress modes by energy compatibility for 4-node hybrid quadrilaterals. Int. J. Numer. Methods Eng., 59, 293-313, 2004.
• 11. Zienkiewicz O.C., Morgan K.: Finite elements and approximation. Moscow, Mir, 1986 (in Russian).