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A boundary element method for three-dimensional elastoplastic problems (1998)

Cisilino, A.P. ; Aliabadi, M.H.

Bradford : Emerald

Engineering computations 15 (1998), S. 1011-1030

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ISSN: 0264-4401

Source: Emerald Fulltext Archive Database 1994-2005

Topics: Technology

Notes: An efficient boundary element method (BEM) formulation for three-dimensional elastoplasticity is presented in this paper. The BEM formulation for nonlinear problems requires discretization of the surface as well as part of the volume. In this paper nine-noded quadrilateral elements are used for modelling the surface and 27-noded brick elements for the volume. Particular attention is paid to the accurate evaluation of the Cauchy principal value volume integrals appearing in the interior stress calculations. An explicit initial strain formulation is used to satisfy the non-linearity. The accuracy of the proposed method is demonstrated by solving a number of benchmark problems.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1108/02644409810244110

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BEM Implementation of the Energy Domain Integral for the Elastoplastic Analysis of 3D Fracture Problems (1999)

Cisilino, A.P. ; Aliabadi, M.H.

Springer

International journal of fracture 96 (1999), S. 229-245

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ISSN: 1573-2673

Source: Springer Online Journal Archives 1860-2000

Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics

Notes: Abstract An Elastoplastic Dual Boundary Element Method (EPDBEM) for the evaluation of the J-integral in three-dimensional fracture problems is presented in this paper. The point-wise J-integral is evaluated along crack fronts using the Energy Domain Integral (EDI) methodology. The domain expression of the EDI is naturally compatible with the EPDBEM, allowing to embed the computation of the J-integral within the boundary element formulation in such a way that it only accounts for a small additional computational effort. The accuracy of the proposed formulation is demonstrated by solving problems with straight and curved crack fronts.