Improved implementation of the extended finite element method for stress analysis around cracks

• Autorzy: Yu T. T. , Liu P.

Warianty tytułu

PL

Udoskonalone zastosowania rozszerzonej metody elementów skończonych do analizy naprężeń wokół pęknięcia

• Języki publikacji: EN

Abstrakty

EN

Although the extended finite element method (XFEM) allows for modelling arbitrary discontinuities, its low order elements often means that frequent improvements on accuracy are required. The generalized finite element method (GFEM), the extension of the conventional FEM, improves the approximation accuracy of the FEM by introducing generalized degrees of freedom and re-interpolating nodal degrees of freedom. This paper enhances the implementation of the XFEM for stress analysis around cracks by coupling the GFEM and XFEM. The generalized node shape functions are used in a cluster of nodes around the cracks, and the conventional finite element shape functions are adopted at nodes outside the cracks, thereby reducing costs and improving the accuracy of stresses in the vicinity of the cracks. Several numerical examples show that the proposed approach generates higher accuracy for stress intensity factor computations at affordable costs.

PL

Pomimo że rozszerzona metoda elementów skończonych (XFEM) pozwala modelować przypadkowe nieciągłości, metoda ta wymaga poprawy dokładności. Można to uzyskać poprzez zastosowanie dodatkowych metod modelowania. W pracy przedstawiono zastosowanie połączonych metod GFEM i XFEM do analizy naprężeń wokół pęknięcia. Kilka numerycznych przykładów wykazało, że proponowane podejście pozwala uzyskać lepszą dokładność od metod dotychczas stosowanych.

Słowa kluczowe

EN

XFEM; GFEM; crack; stress intensity factor

PL

pękanie; współczynnik intensywności naprężeń; metoda elementów skończonych

• Wydawca: Springer ; Wrocław University of Science and Technology
• Czasopismo: Archives of Civil and Mechanical Engineering
• Rocznik: 2011
• Tom: Vol. 11, no 3
• Strony: 787--805
• Opis fizyczny: Bibliogr. 45 poz., rys., tab., wykr.

Twórcy

autor

Yu T. T.

autor

Liu P.

• Dept. of Engineering Mechanics, Hohai University, Nanjing 210098, China

Bibliografia

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