335 citations · 1.6k across the 37 of their papers we have counts for
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Integrating strong and weak discontinuities without integration subcells and example applications in an XFEM/GFEM framework
Sundararajan Natarajan, D. Roy Mahapatra, Stephane PA Bordas
Partition of unity methods, such as the extended finite element method (XFEM) allow discontinuities to be simulated independently of the mesh [1]. This eliminates the need for the…
Natural frequencies of cracked functionally graded material plates by the extended finite element method
S Natarajan, PM Baiz, S Bordas +2
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…
On the approximation in the smoothed finite element method (SFEM)
Stephane PA Bordas, Sundararajan Natarajan
This letter aims at resolving the issues raised in the recent short communication [1] and answered by [2] by proposing a systematic approximation scheme based on non-mapped shape f…