159 citations · 302 across the 4 of their papers we have counts for
4 papers
Linear smoothed extended finite element method
M Surendran, S Natarajan, SPA Bordas +1
The extended finite element method (XFEM) was introduced in 1999 to treat problems involving discontinuities with no or minimal remeshing through appropriate enrichment functions.…
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…
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…