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dc.titleExtended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth
dc.contributor.authorChen, L.
dc.contributor.authorRabczuk, T.
dc.contributor.authorBordas, S.P.A.
dc.contributor.authorLiu, G.R.
dc.contributor.authorZeng, K.Y.
dc.contributor.authorKerfriden, P.
dc.identifier.citationChen, L., Rabczuk, T., Bordas, S.P.A., Liu, G.R., Zeng, K.Y., Kerfriden, P. (2012-02-01). Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth. Computer Methods in Applied Mechanics and Engineering 209-212 : 250-265. ScholarBank@NUS Repository.
dc.description.abstractThis paper presents a strain smoothing procedure for the extended finite element method (XFEM). The resulting "edge-based" smoothed extended finite element method (ESm-XFEM) is tailored to linear elastic fracture mechanics and, in this context, to outperform the standard XFEM. In the XFEM, the displacement-based approximation is enriched by the Heaviside and asymptotic crack tip functions using the framework of partition of unity. This eliminates the need for the mesh alignment with the crack and re-meshing, as the crack evolves. Edge-based smoothing (ES) relies on a generalized smoothing operation over smoothing domains associated with edges of simplex meshes, and produces a softening effect leading to a close-to-exact stiffness, "super-convergence" and "ultra-accurate" solutions. The present method takes advantage of both the ES-FEM and the XFEM. Thanks to the use of strain smoothing, the subdivision of elements intersected by discontinuities and of integrating the (singular) derivatives of the approximation functions is suppressed via transforming interior integration into boundary integration. Numerical examples show that the proposed method improves significantly the accuracy of stress intensity factors and achieves a near optimal convergence rate in the energy norm even without geometrical enrichment or blending correction. © 2011 Elsevier B.V.
dc.subjectConvergence rate
dc.subjectEdge-based smoothed finite element method
dc.subjectExtended finite element method
dc.subjectFracture analysis
dc.subjectNumerical method
dc.subjectStress intensity factor
dc.contributor.departmentMECHANICAL ENGINEERING
dc.description.sourcetitleComputer Methods in Applied Mechanics and Engineering
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