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Stabilized low-order finite elements for frictional contact with the extended finite element method
Extended finite element Frictional contact Lagrange multipliers Penalty method Stabilized methods
2015/7/1
Contact problem suffers from a numerical instability similar to that encountered in incompressible elasticity, in which the normal contact pressure exhibits spurious oscillation. This oscillation does...
A contact algorithm for frictional crack propagation with the extended finite element method
contact algorithm frictional crack extended finite element method
2015/7/1
We present an incremental quasi-static contact algorithm for path-dependent frictional crack propagation in the framework of the extended finite element (FE) method. The discrete formulation allows fo...
Assumed enhanced strain and the extended finite element methods: A unification of concepts
Assumed enhanced strain Embedded strong discontinuity Extended finite element method Frictional crack
2015/7/1
We present strong and weak forms of boundary-value problems for a solid with a cohesive–frictional crack. Two commonly used techniques for enhancing the finite element (FE) interpolation are considere...
Finite element simulation of strain localization with large deformation: capturing strong discontinuity using a Petrov–Galerkin multiscale formulation
Finite element simulation strain localization with large deformation strong discontinuity Petrov–Galerkin multiscale formulation
2015/7/1
The finite element model for strain localization analysis developed in a previous work is generalized to the finite deformation regime. Strain enhancements via jumps in the displacement field are capt...