110 citations · 116 across the 5 of their papers we have counts for
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math.NA2012★ 1 cited
On the application of polynomial and NURBS functions for nonlocal response of low dimensional structures
S. Natarajan, T. Rabczuk, S. Bordas +1
In this paper, the axial vibration of cracked beams, the free flexural vibrations of nanobeams and plates based on Timoshenko beam theory and first-order shear deformable plate the…
math.NA2011★ 110 cited
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…