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A meshless method integrated with linear elastic fracture mechanics(LEFM)ispresented for 2D mixed-mode crack propagation analysis.The domain is divided automaticallyinto sub-domains based on Voronoi cells,which are used for quadrature for the potential energy.The continuous crack propagation is simulated with an incremental crack-extension method whichassumes a piecewise linear discretization of the unknown crack path.For each increment of thecrack extension,the meshless method is applied to carry out a stress analysis of the crackedstructure.The J-integral,which can be decomposed into mode Ⅰ and mode Ⅱ for mixed-modecrack,is used for the evaluation of the stress intensity factors(SIFs).The crack-propagationdirection,predicted on an incremental basis, is computed by a criterion defined in terms of the SIFs.The flowchart of the proposed procedure is presented and two numerical problems are analyzedwith this method.The meshless results agree well with the experimental ones,which validatesthe accuracy and efficiency of the method.
A meshless method integrated with linear elastic fracture mechanics (LEFM) ispresented for 2D mixed-mode crack propagation analysis. The domain is divided automaticallyinto sub-domains based on Voronoi cells, which are used for quadrature for the potential energy. The continuous crack propagation is simulated with an incremental crack-extension method whichassumes a piecewise linear discretization of the unknown crack path. For each increment of thecrack extension, the meshless method is applied to carry out a stress analysis of the cracked structure. The J-integral, which can be decomposed is used for the evaluation of the stress intensity factors (SIFs). crack-propagationdirection, predicted on an incremental basis, is computed by the canyon defined in terms of the Scenario in SIF. of the proposed procedure is presented and two numerical problems are analyzed with this method. The meshless results agree well with the experimental ones, which vali datesthe accuracy and efficiency of the method.