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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24316

Title: Dual boundary element analysis for cracked bars under torsion
Authors: J.T. Chen;K.H. Chen;W. Yeih;N.C. Shieh
Contributors: NTOU:Department of Harbor and River Engineering
Keywords: Boundary element method;Cracked bar;Torsion
Date: 1998
Issue Date: 2011-10-20T08:11:19Z
Publisher: Engineering Computations
Abstract: Abstract:A dual integral formulation for a cracked bar under torsion is derived, and a dual boundary element method is implemented. It is shown that as the thickness of the crack becomes thinner, the ill-posedness for the linear algebraic matrix becomes more serious if the conventional BEM is used. Numerical experiments for solution instability due to ill-posedness are shown. To deal with this difficulty, the hypersingular equation of the dual boundary integral formulation is employed to obtain an independent constraint equation for the boundary unknowns. For the sake of computational efficiency, the area integral for the torsion rigidity is transformed into two boundary integrals by using Green’s second identity and divergence theorem. Finally, the torsion rigidities for cracks with different lengths and orientations are solved by using the dual BEM, and the results compare well with the analytical solutions and FEM results.
Relation: 15(6), pp.732-749
URI: http://ntour.ntou.edu.tw/handle/987654321/24316
Appears in Collections:[河海工程學系] 期刊論文

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