S
Sundararajan Natarajan
Researcher at Indian Institute of Technology Madras
Publications - 211
Citations - 5313
Sundararajan Natarajan is an academic researcher from Indian Institute of Technology Madras. The author has contributed to research in topics: Finite element method & Smoothed finite element method. The author has an hindex of 34, co-authored 181 publications receiving 4087 citations. Previous affiliations of Sundararajan Natarajan include GE Aviation & Bauhaus University, Weimar.
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Integrating strong and weak discontinuities without integration subcells and example applications in an XFEM/GFEM framework
TL;DR: Numerical results presented for a few benchmark problems in the context of linear elastic fracture mechanics and a multi-material problem show that the proposed integration technique can be easily integrated in any existing code and yields accurate results.
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A review of the scaled boundary finite element method for two-dimensional linear elastic fracture mechanics
TL;DR: In this article, the development and application of the scaled boundary finite element method for fracture analysis is reviewed, with the only limitation that the whole boundary is directly visible from the scaling centre.
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Adaptation of quadtree meshes in the scaled boundary finite element method for crack propagation modelling
TL;DR: A crack propagation modelling technique combining the scaled boundary finite element method and quadtree meshes is developed that automatically satisfies the compatibility requirement between adjacent quadtree cells irrespective of the presence of hanging nodes.
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Linear smoothed polygonal and polyhedral finite elements
Amrita Francis,Alejandro Ortiz-Bernardin,Stéphane Bordas,Stéphane Bordas,Stéphane Bordas,Sundararajan Natarajan +5 more
TL;DR: Numerical results show that the proposed linear strain smoothing scheme makes the approximation based on polytopes able to deliver the same optimal convergence rate as traditional quadrilateral and hexahedral approximations.
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Convergence and accuracy of displacement based finite element formulations over arbitrary polygons: Laplace interpolants, strain smoothing and scaled boundary polygon formulation
TL;DR: In this article, three different displacement-based finite element formulations over arbitrary polygons are studied and the accuracy and the convergence properties of these formulations are studied with a few benchmark problems in the context of linear elasticity and the linear elastic fracture mechanics.