Results 131 to 140 of about 892 (181)
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Improved XFEM—An extra-dof free, well-conditioning, and interpolating XFEM
Computer Methods in Applied Mechanics and Engineering, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Longfei Wen
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Computer Methods in Applied Mechanics and Engineering, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jian-Ying Wu
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jian-Ying Wu
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International Journal for Numerical Methods in Engineering, 2010
AbstractThis paper investigates two approaches for the handling of hanging nodes in the framework of extended finite element methods (XFEM). Allowing for hanging nodes, locally refined meshes may be easily generated to improve the resolution of general, i.e. model‐independent, steep gradients in the problem under consideration.
Fries, Thomas-Peter +4 more
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AbstractThis paper investigates two approaches for the handling of hanging nodes in the framework of extended finite element methods (XFEM). Allowing for hanging nodes, locally refined meshes may be easily generated to improve the resolution of general, i.e. model‐independent, steep gradients in the problem under consideration.
Fries, Thomas-Peter +4 more
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On time integration in the XFEM
International Journal for Numerical Methods in Engineering, 2009AbstractThe extended finite element method (XFEM) is often used in applications that involve moving interfaces. Examples are the propagation of cracks or the movement of interfaces in two‐phase problems. This work focuses on time integration in the XFEM. The performance of the discontinuous Galerkin method in time (space–time finite elements (FEs)) and
Fries, T.-P., ZILIAN, Andreas
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Strain smoothing in FEM and XFEM
Computers & Structures, 2010We present in this paper recent achievements realised on the application of strain smoothing in finite elements and propose suitable extensions to problems with discontinuities and singularities. The numerical results indicate that for 2D and 3D continuum, locking can be avoided.
BORDAS, Stéphane +7 more
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On XFEM applications to dislocations and interfaces
International Journal of Plasticity, 2007Abstract A method for modelling dislocations in systems with arbitrary materials interfaces is described. The method is based on the extended finite element method (XFEM) where dislocations are modelled in the manner of the Volterra dislocation model. A method for calculating the Peach–Koehler force by J -integrals in this framework is studied.
Ted Belytschko, Robert Gracie
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International Journal of Computational Methods, 2013
We present an extended radial point interpolation method (XRPIM) for modeling cracks and material interfaces in two-dimensional elasto-static problems. Therefore, partition of unity enrichment is incorporated into RPIM. We employ both step enrichment and crack tip enrichment for cracks.
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We present an extended radial point interpolation method (XRPIM) for modeling cracks and material interfaces in two-dimensional elasto-static problems. Therefore, partition of unity enrichment is incorporated into RPIM. We employ both step enrichment and crack tip enrichment for cracks.
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3D XFEM Modelling of Imperfect Interfaces
2013In this paper, recent contributions to the modelling of coated inclusions by means of an eXtended Finite Element Method are presented. The matrix particle interface is modelled as a finite thickness, imperfect interface. Two approaches are considered: a variational approach inspired to Suquet’s work on asymptotic analysis of thin layers, and an ...
BENVENUTI, Elena +3 more
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The intrinsic XFEM for two‐fluid flows
International Journal for Numerical Methods in Fluids, 2008AbstractIn two‐fluid flows, jumps and/or kinks along the interfaces are present in the resulting velocity and pressure fields. Standard methods require mesh manipulations with the aim that either element edges align with the interfaces or that the mesh is sufficiently refined near the interfaces.
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Analysis of an XFEM Discretization for Stokes Interface Problems
SIAM Journal on Scientific Computing, 2016Summary: We consider a stationary Stokes interface problem. In the discretization the interface is not aligned with the triangulation. For the discretization we use the \(P_1\) extended finite element space (\(P_1\)-XFEM) for the pressure and the standard conforming \(P_2\) finite element space for the velocity.
Matthias Kirchhart +2 more
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