335 citations · 1.6k across the 37 of their papers we have counts for
5 papers · 1 filter
Representation of singular fields without asymptotic enrichment in the extended finite element method
Sundararajan Natarajan, Chongmin Song
In this paper, we replace the asymptotic enrichments around the crack tip in the extended finite element method (XFEM) with the semi-analytical solution obtained by the scaled boun…
NURBS-based finite element analysis of functionally graded plates: static bending, vibration, buckling and flutter
Navid Valizadeh, Sundararajan Natarajan, Octavio A Gonzalez-Estrada +3
In this paper, a non-uniform rational B-spline based iso-geometric finite element method is used to study the static and dynamic characteristics of functionally graded material (FG…
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…
Bending and vibration of functionally graded material sandwich plates using an accurate theory
S. Natarajan, M. Ganapathi
In this paper, the bending and the free flexural vibration behaviour of sandwich functionally graded material (FGM) plates are investigated using QUAD-8 shear flexible element deve…
Efficient recovery-based error estimation for the smoothed finite element method for smooth and singular linear elasticity
Octavio A. González-Estrada, Sundararajan Natarajan, Juan José Ródenas +2
An error control technique aimed to assess the quality of smoothed finite element approximations is presented in this paper. Finite element techniques based on strain smoothing app…