High-order extended finite element method for cracked domains
نویسندگان
چکیده
منابع مشابه
High Order Extended Finite Element Method for Cracked Domains
Computer simulation of fracture processes remains a challenge for many industrial modelling problems. In a classical finite element method, the non-smooth displacement near the crack tip is captured by refining the mesh locally. The number of degrees of freedom may drastically increase, especially in three dimensional applications. Moreover, the incremental computation of a crack growth needs f...
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In this paper, the extended finite element method (XFEM) is employed to investigate the statics and vibration problems of cracked isotropic bars and beams. Three kinds of elements namely the standard, the blended and the enriched elements are utilized to discretize the structure and model cracks. Two techniques referred as the increase of the number of Gauss integration points and the rectangle...
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1. Background The Finite Volume ElementMethod (FVEM) is a numerical method for approximating the solution of a partial differential equation (PDE) in a trial function space spanned by piecewise polynomial basis functions, similar to the Finite Element Method (FEM). The coefficients of the linear combination of the basis functions are obtained by imposing the PDE through integrations over contro...
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The cracked Brazilian disc (CBD) specimen is widely used in order to determine mode-I/II and mixed-mode fracture toughness of a rock medium. In this study, the stress intensity factor (SIF) on the crack-tip in this specimen is calculated for various geometrical crack conditions using the extended-finite element method (X-FEM). This method is based upon the finite element method (FEM). In this m...
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ژورنال
عنوان ژورنال: International Journal for Numerical Methods in Engineering
سال: 2005
ISSN: 0029-5981,1097-0207
DOI: 10.1002/nme.1370