Sundararajan Natarajan

TL;DR: In this article, the linearly consistent one point integration rule for the mesh-free methods is extended to arbitrary polytopes, and the convergence properties, the accuracy and the efficacy of the one-point integration scheme are discussed by solving few benchmark problems in elastostatics.

TL;DR: In this article , a hybrid computational strategy and its detailed implementation for simulation of crack propagation problems in 3D solids is presented, which combines the combination of extended finite element method (XFEM) and bond-based peridynamics (PD), which takes excellent features of the high computation efficiency by the XFEM and the flexibility by the PD in dealing with crack growth problems.

TL;DR: In this article, the cell-based smoothed finite element method (CSFEM) and the 4-noded mixed interpolation of tensorial components approach (MITC4) are combined for the approximation of the bending strains, whilst the mixed interpolations allow the calculation of the shear transverse stress in a different manner.

TL;DR: In this paper , Atroshchenko et al. proposed to enrich the PHT-splines field approximation with a set of plane-waves propagating in different directions to capture oscillatory behaviour of the solution and achieve smaller error on coarser meshes.

TL;DR: In this paper, the dynamic response of functionally graded viscoelastic hollow cylinder subjected to thermo-mechanical loads is studied using the meshless local Petrov-Galerkin method.