84 citations · 324 across the 8 of their papers we have counts for
8 papers
High-order implicit time integration scheme with controllable numerical dissipation based on mixed-order Padé expansions
Chongmin Song, Xiaoran Zhang, Sascha Eisenträger +1
A single-step high-order implicit time integration scheme with controllable numerical dissipation at high frequencies is presented for the transient analysis of structural dynamic…
An open-source ABAQUS implementation of the scaled boundary finite element method to study interfacial problems using polyhedral meshes
Shukai Ya, Sascha Eisenträger, Chongmin Song +1
The scaled boundary finite element method (SBFEM) is capable of generating polyhedral elements with an arbitrary number of surfaces. This salient feature significantly alleviates t…
A massively parallel explicit solver for elasto-dynamic problems exploiting octree meshes
Junqi Zhang, Ankit Ankit, Hauke Gravenkamp +2
Typical areas of application of explicit dynamics are impact, crash test, and most importantly, wave propagation simulations. Due to the numerically highly demanding nature of thes…
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.…
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…
Finite element computations on quadtree meshes: strain smoothing and semi-analytical formulation
Sundararajan Natarajan, Ean Tat Ooi, Hou Man +1
This short communication discusses two alternate techniques to treat hanging nodes in a quadtree mesh. Both the techniques share similarities, in that, they require only boundary i…
Displacement based finite element formulations over polygons: a comparison between Laplace interpolants, strain smoothing and scaled boundary polygon formulation
Sundararajan Natarajan, Ean Tat Ooi, Irene Chiong +1
Three different displacement based finite element formulations over arbitrary polygons are studied in this paper. The formulations considered are: the conventional polygonal finite…
Representation of singular fields without asymptotic enrichment in the extended finite element method
Sundararajan Natarajan, Chongmin Song
In this paper, we replace the asymptotic enrichments around the crack tip in the extended finite element method (XFEM) with the semi-analytical solution obtained by the scaled boun…