335 citations · 1.6k across the 37 of their papers we have counts for
40 papers
Polytopal composite finite elements for modeling concrete fracture based on nonlocal damage models
Hai D. Huynh, S. Natarajan, H. Nguyen-Xuan +1
The paper presents an assumed strain formulation over polygonal meshes to accurately evaluate the strain fields in nonlocal damage models. An assume strained technique based on the…
On the fractional transversely isotropic functionally graded nature of soft biological tissues
Sachin Gunda, Sundararajan Natarajan, Olga Barrera
This paper focuses on the origin of the poroelastic anisotropic behaviour of the meniscal tissue and its spatially varying properties. We present confined compression creep test re…
Convergence Analysis of Virtual Element Method for Nonlinear Nonlocal Dynamic Plate Equation
D. Adak, D. Mora, S. Natarajan
In this article, we have considered a nonlinear nonlocal time dependent fourth order equation demonstrating the deformation of a thin and narrow rectangular plate. We propose …
Neural-network acceleration of projection-based model-order-reduction for finite plasticity: Application to RVEs
S. Vijayaraghavan, L. Wu, L. Noels +3
Compared to conventional projection-based model-order-reduction, its neural-network acceleration has the advantage that the online simulations are equation-free, meaning that no sy…
Virtual element approximation of two-dimensional parabolic variational inequalities
Dibyendu Adak, Gianmarco Manzini, Sundararajan Natarajan
We design a virtual element method for the numerical treatment of the two-dimensional parabolic variational inequality problem on unstructured polygonal meshes. Due to the expected…
Adaptive phase field modelling of crack propagation in orthotropic functionally graded materials
Hirshikesh, Emilio Martínez-Pañeda, Sundararajan Natarajan
In this work, we extend the recently proposed adaptive phase field method to model fracture in orthotropic functionally graded materials (FGMs). A recovery type error indicator com…
Continuum modelling of stress diffusion interactions in an elastoplastic medium in the presence of geometric discontinuity
Rupesh Kumar Mahendran, Hirshikesh, Ratna Kumar Annabattula +1
Chemo-mechanical coupled systems have been a subject of interest for many decades now. Previous attempts to solve such models have mainly focused on elastic materials without takin…
Virtual element method for semilinear sine-Gordon equation over polygonal mesh using product approximation technique
Dibyendu Adak, Sundararajan Natarajan
In this paper, we employ the linear virtual element spaces to discretize the semilinear sine-Gordon equation in two dimensions. The salient features of the virtual element method (…
Phase field modelling of crack propagation in functionally graded materials
Hirshikesh, Sundararajan Natarajan, Ratna K. Annabattula +1
We present a phase field formulation for fracture in functionally graded materials (FGMs). The model builds upon homogenization theory and accounts for the spatial variation of ela…
A new locking-free polygonal plate element for thin and thick plates based on Reissner-Mindlin plate theory and assumed shear strain fields
Javier Videla, Sundararajan Natarajan, Stephane PA Bordas
A new noded polygonal plate element is proposed for the analysis of plate structures comprising of thin and thick members. The formulation is based on the discrete Kirchhoff M…
Size effects in elastic-plastic functionally graded materials
Tittu V. Mathew, Sundararajan Natarajan, Emilio Martínez-Pañeda
We develop a strain gradient plasticity formulation for composite materials with spatially varying volume fractions to characterize size effects in functionally graded materials (F…
A volume-averaged nodal projection method for the Reissner-Mindlin plate model
Alejandro Ortiz-Bernardin, Philip Köbrich, Jack S. Hale +3
We introduce a novel meshfree Galerkin method for the solution of Reissner-Mindlin plate problems that is written in terms of the primitive variables only (i.e., rotations and tran…
Isogeometric analysis of thin Reissner-Mindlin plates and shells: locking phenomena and B-bar method
Qingyuan Hu, Yang Xia, Sundararajan Natarajan +3
We propose a local type of B-bar formulation, addressing locking in degenerated Reissner-Mindlin plate and shell formulations in the context of isogeometric analysis. Parasitic str…
A new one point quadrature rule over arbitrary star convex polygon/polyhedron
Sundararajan Natarajan, Amrita Francis, Elena Atroshchenko +1
The Linear Smoothing (LS) scheme \cite{francisa.ortiz-bernardin2017} ameliorates linear and quadratic approximations over convex polytopes by employing a three-point integration sc…
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.…
Free vibration and mechanical buckling of plates with in-plane material inhomogeneity - a three dimensional consistent approach
Tingsong Xiang, Sundararajan Natarajan, Hou Man +2
In this article, we study the free vibration and the mechanical buckling of plates using a three dimensional consistent approach based on the scaled boundary finite element method.…
Assessment of certain higher-order structural models based on global approach for bending analysis of curvilinear composite laminates
Anand Venkatachari, Sundararajan Natarajan, K Ramajeyathilagam +1
In this paper, the performance of different structural models based on global approach in evaluating the static response of curvilinear fibre composite laminates is analyzed. A Co…
Panel flutter characteristics of sandwich plates with CNT reinforced face sheets using an accurate higher-order theory
A Sankar, S Natarajan, M Haboussi +2
In this paper, the flutter characteristics of sandwich panels with carbon nanotube (CNT) reinforced face sheets are investigated using QUAD-8 shear flexible element developed based…
On the equivalence between the cell-based smoothed finite element method and the virtual element method
Sundararajan Natarajan, Stéphane P. A. Bordas, Ean Tat Ooi
We revisit the cell-based smoothed finite element method (SFEM) for quadrilateral elements and extend it to arbitrary polygons and polyhedrons in 2D and 3D, respectively. We highli…
Numerical evaluation of stress intensity factors and T-stress for interfacial cracks and cracks terminating at the interface without asymptotic enrichment
Sundararajan Natarajan, Chongmin Song, Salim Belouettar
In this paper, we extend the recently proposed extended scaled boundary finite element method (xSBFEM)~\cite{natarajansong2013} to study fracture parameters of interfacial cracks a…
A hybrid T-Trefftz polygonal finite element for linear elasticity
Kalyan Bhattacharjee, Sundararajan Natarajan, Stephane Bordas
In this paper, we construct hybrid T-Trefftz polygonal finite elements. The displacement field within the polygon is repre- sented by the homogeneous solution to the governing diff…
Application of higher-order structural theory to bending and free vibration analysis of sandwich plates with CNT reinforced composite facesheets
Sundararajan Natarajan, Mohamed Haboussi, Ganapathi Manickam
In this paper, the bending and free flexural vibration behaviour of sandwich plates with carbon nanotube (CNT) reinforced facesheets are investigated using QUAD-8 shear flexible el…
Towards Automatic Stress Analysis using Scaled Boundary Finite Element Method with Quadtree Mesh of High-order Elements
Hou Man, Chongmin Song, Sundararajan Natarajan +2
This paper presents a technique for stress and fracture analysis by using the scaled boundary finite element method (SBFEM) with quadtree mesh of high-order elements. The cells of…
Supersonic flutter analysis of flat composite panels by unified formulation
S Natarajan, G Manickam, AJM Ferreira +1
In this paper, the linear flutter characteristics of laminated composite flat panels immersed in a supersonic flow is investigated using field consistent elements within the framew…