Showing papers by "Sundararajan Natarajan published in 2015"
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.
95 citations
TL;DR: The concepts of isogeometric analysis and the scaled boundary finite element method (SBFEM) are combined and the SBFEM requires only the boundary information and hence provides a seamless integration with the CAD modeling.
76 citations
TL;DR: In this paper, a connection between the smoothed finite element method (SFEM) and the virtual element method was made and a new stable approach to strain smoothing for polygonal/polyhedral elements was proposed.
Abstract: Summary
We show both theoretically and numerically a connection between the smoothed finite element method (SFEM) and the virtual element method and use this approach to derive stable, cheap and optimally convergent polyhedral FEM. We show that the stiffness matrix computed with one subcell SFEM is identical to the consistency term of the virtual element method, irrespective of the topology of the element, as long as the shape functions vary linearly on the boundary. Using this connection, we propose a new stable approach to strain smoothing for polygonal/polyhedral elements where, instead of using sub-triangulations, we are able to use one single polygonal/polyhedral subcell for each element while maintaining stability. For a similar number of degrees of freedom, the proposed approach is more accurate than the conventional SFEM with triangular subcells. The time to compute the stiffness matrix scales with the O(dofs)1.1 in case of the conventional polygonal FEM, while it scales as O(dofs)0.7 in the proposed approach. The accuracy and the convergence properties of the SFEM are studied with a few benchmark problems in 2D and 3D linear elasticity. Copyright © 2015 John Wiley & Sons, Ltd.
54 citations
TL;DR: In this article, a layup optimisation algorithm for composite marine propellers, including the hygrothermal effects, using Non-Uniform Rational B-Splines (NURBS) based FEM coupled with real-coded Genetic Algorithm (GA).
48 citations
TL;DR: In this paper, a scaled boundary finite element method (SBFEM) was proposed to analyze fracture behaviors of piezoelectric materials and piezelectric composites under thermal loading.
37 citations
TL;DR: In this article, an experimental-numerical methodology for identification of mode I failure parameters, namely the critical strain energy release rate (G Ic ) and the strength (? c ) of unidirectional carbon/epoxy composite is proposed.
36 citations
TL;DR: In this article, a scaled boundary finite element formulation was developed to model crack propagation in two-dimensions, which can accurately model the stress singularity at the crack tip in heterogeneous materials.
Abstract: A recently developed scaled boundary finite element formulation that can model the response of functionally graded materials is further developed to model crack propagation in two-dimensions. This formulation can accurately model the stress singularity at the crack tip in heterogeneous materials. The asymptotic behaviour at the crack tip is analytically represented in the scaled boundary shape functions of a cracked polygon. This enables accurate stress intensity factors to be computed directly from their definitions. Neither local mesh refinement nor asymptotic enrichment functions are required. This novel formulation can be implemented on polygons with an arbitrary number of sides. When modelling crack propagation, the remeshing process is more flexible and leads to only minimal changes to the global mesh structure. Six numerical examples involving crack propagation in functionally graded materials are modelled to demonstrate the salient features of the developed method.
33 citations
TL;DR: In this paper, the buckling characteristics of curvilinear fiber composite laminates exposed to hygrothermal environment were studied. But the authors focused on the effect of a centrally located cut-out, modelled within the framework of the extended finite element method.
25 citations
TL;DR: Two alternate techniques to treat hanging nodes in a quadtree mesh are discussed, one of which relies on the strain projection procedure, whilst the other is based on the scaled boundary finite element method.
Abstract: In this paper, we discuss two alternate techniques to treat hanging nodes in a quadtree mesh. Both the techniques share similarities, in that, they require only boundary information. Moreover, they do not require an explicit form of the shape functions, unlike the conventional approaches, for example, as in the work of Gupta (Int J Numer Methods Eng 12:35, 1978) or Tabarraei and Sukumar (Finite Elem Anal Des 41:686, 2005). Hence, no special numerical integration technique is required. One of the techniques relies on the strain projection procedure, whilst the other is based on the scaled boundary finite element method. Numerical examples are presented to demonstrate the accuracy and the convergence properties of the two techniques.
14 citations