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Finite deformation formulation for embedded frictional crack with the extended finite element method
finite deformation frictional crack embedded discontinuity extended finite element
2015/7/1
We reformulate an extended finite element (FE) framework for embedded frictional cracks in elastoplastic solids to accommodate finite deformation, including finite stretching and rotation. For the FE ...
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...
Natural frequencies of cracked functionally graded material plates by the extended finite element method
Mindlin plate theory vibration partition of unity methods extended finite element method
2011/9/15
Abstract: In this paper, the linear free flexural vibration of cracked functionally graded material plates is studied using the extended finite element method. A 4-noded quadrilateral plate bending el...