335 citations · 905 across the 24 of their papers we have counts for
24 papers
Design of metamaterial-based heat manipulators by isogeometric shape optimization
Chintan Jansari, Stéphane P. A. Bordas, Elena Atroshchenko
There has been a growing interest in controlled heat flux manipulation to increase the efficiency of thermal apparatus. Heat manipulators control and manipulate heat flow. A key to…
A Discrete Droplet Method for Modelling Thin Film Flows
Anand S Bharadwaj, Joerg Kuhnert, Stephane P. A. Bordas +1
In this paper, we present a new model to simulate the formation, evolution, and break up of a thin film of fluid flowing over a curved surface. Referred to as the discrete droplet…
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…
Colossal Atomic Force Response in van der Waals Materials Arising From Electronic Correlations
Paul Hauseux, Alberto Ambrosetti, Stéphane P. A. Bordas +1
Understanding static and dynamic phenomena in complex materials at different length scales requires reliably accounting for van der Waals (vdW) interactions, which stem from long-r…
Circumferential Crack Modeling of Thin Cylindrical Shells in Modal Deformation
Ali Alijani, Olga Barrera, Stephane P. A. Bordas
An innovative technique, called conversion, is introduced to model circumferential cracks in thin cylindrical shells. The semi-analytical finite element method is applied to invest…
On the finite element analysis of functionally graded sandwich curved beams via a new refined higher shear deformation theory
Mohamed-Ouejdi Belarbi, Mohammed Sid Ahmed Houari, Hicham Hirane1 +2
In the present paper, a new parabolic shear deformation beam theory is developed and applied to investigate the bending behavior of functionally graded (FG) sandwich curved beam. T…
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…
Gradient plasticity crack tip characterization by means of the extended finite element method
Emilio Martínez-Pañeda, Sundar Natarajan, Stéphane Bordas
Strain gradient plasticity theories are being widely used for fracture assessment, as they provide a richer description of crack tip fields by incorporating the influence of geomet…
Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization
Gang Xu, Ming Li, Bernard Mourrain +3
In this paper, we propose a general framework for constructing IGA-suitable planar B-spline parameterizations from given complex CAD boundaries consisting of a set of B-spline curv…
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…
Isogeometric finite element analysis of time-harmonic exterior acoustic scattering problems
Tahsin Khajah, Xavier Antoine, Stéphane P. A. Bordas
We present an isogeometric analysis of time-harmonic exterior acoustic problems. The infinite space is truncated by a fictitious boundary and (simple) absorbing boundary conditions…
Bayesian inference for the stochastic identification of elastoplastic material parameters: Introduction, misconceptions and insights
Hussein Rappel, Lars A. A. Beex, Jack S. Hale +1
We discuss Bayesian inference (BI) for the probabilistic identification of material parameters. This contribution aims to shed light on the use of BI for the identification of elas…
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…
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…
Isogeometric finite element analysis of functionally graded plates using a refined plate theory
H. Nguyen-Xuan, Loc V. Tran, Chien H. Thai +2
We propose in this paper a novel inverse tangent transverse shear deformation formulation for functionally graded material (FGM) plates. The isogeometric finite element analysis (I…
Nitsche's method for two and three dimensional NURBS patch coupling
Vinh Phu Nguyen, Pierre Kerfriden, Marco Brino +2
A Nitche's method is presented to couple non-conforming two and three dimensional NURBS (Non Uniform Rational B-splines) patches in the context of isogeometric analysis (IGA). We p…
An extended finite element method with smooth nodal stress
X. Peng, S. Kulasegaram, S. P. A. Bordas +1
The enrichment formulation of double-interpolation finite element method (DFEM) is developed in this paper. DFEM is first proposed by Zheng \emph{et al} (2011) and it requires two…
Vibration of functionally graded material plates with cutouts & cracks in thermal environment
Ahmad Akbari Rahimabadi, Sundararajan Natarajan, Stephane P. A. Bordas
In this paper, the effect of a centrally located cutout (circular and elliptical) and cracks emanating from the cutout on the free flexural vibration behaviour of functionally grad…
Recent Developments in CAD/analysis Integration
H. Lian, S. P. A. Bordas, R. Sevilla +1
For linear elastic problems, it is well-known that mesh generation dominates the total analysis time. Different types of methods have been proposed to directly or indirectly allevi…
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…
A hybrid extended finite element/level set method for modeling equilibrium shapes of nano-inhomogeneities
Xujun Zhao, Stéphane P. A. Bordas, Jianmin Qu
Interfacial energy plays an important role in equilibrium morphologies of nanosized microstructures of solid materials due to the high interface-to-volume ratio, and can no longer…
Supersonic flutter analysis of thin cracked functionally graded material plates
S Natarajan, M Ganapathi, S Bordas
In this paper, the flutter behaviour of simply supported square functionally graded material plates immersed in a supersonic flow is studied. An enriched 4-noded quadrilateral elem…
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…
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…