Sundararajan Natarajan

TL;DR: The method automatically reduces to standard Gauss quadrature-based integration when polygons are quadrilaterals as a special case and is validated considering structured as well as unstructured meshes consisting of pentagons and hexagons which is a significant step forward to meshing and solving elasticity problem in complicated geometry and interfaces, material microstructure, and so forth.

TL;DR: The benefits of polygonal elements constructed based on the cell-based smoothed finite element method (SFEM) are explored and an alternate approach for modelling fracture along cohesive interfaces is introduced, enabling the interface to be represented independent of the meshes at the interface giving complete freedom on meshing.

TL;DR: In this article, the performance of the finite element method based on Lagrange basis functions and the Non Uniform Rational B-Splines (NURBS) based Iso-Geometric Analysis (IGA) are systematically studied for solving time-harmonic acoustic scattering problems.

TL;DR: 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 with simple and automatic meshing algorithm.

TL;DR: In this article, a simple integration technique, proposed for polygonal domains, is proposed to suppress the need for element subdivision, which can be easily integrated in any existing code, and the numerical results presented for a few benchmark problems in the context of linear elastic fracture mechanics and a multi-material problem.