Author
Sundararajan Natarajan
Other affiliations: GE Aviation, Bauhaus University, Weimar, University of New South Wales ...read more
Bio: 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.
Papers
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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 paper, a novel technique to formulate arbritrary faceted polyhedral elements in three-dimensions is presented, which is applicable for arbitrary facet-ed polyhedra, provided that a scaling requirement is satisfied and the polyhedron facets are planar.
Abstract: A novel technique to formulate arbritrary faceted polyhedral elements in three-dimensions is presented The formulation is applicable for arbitrary faceted polyhedra, provided that a scaling requirement is satisfied and the polyhedron facets are planar A triangulation process can be applied to non-planar facets to generate an admissible geometry The formulation adopts two separate scaled boundary coordinate systems with respect to: (i) a scaling centre located within a polyhedron and; (ii) a scaling centre on a polyhedron’s facets The polyhedron geometry is scaled with respect to both the scaling centres Polygonal shape functions are derived using the scaled boundary finite element method on the polyhedron facets The stiffness matrix of a polyhedron is obtained semi-analytically Numerical integration is required only for the line elements that discretise the polyhedron boundaries The new formulation passes the patch test Application of the new formulation in computational solid mechanics is demonstrated using a few numerical benchmarks
36 citations
TL;DR: In this paper, the free vibration characteristics of curvilinear fiber composite laminates exposed to hygrothermal environment were studied and a 4-noded shear flexible quadrilateral plate element based on extended finite element approach was employed for the spatial discretization.
Abstract: In this paper, we study the free vibration characteristics of curvilinear fibre composite laminates exposed to hygrothermal environment. The formulation is based on the transverse shear deformation theory and it accounts for the lamina material properties at elevated moisture concentrations and thermal gradients. A 4-noded shear flexible quadrilateral plate element based on extended finite element approach is employed for the spatial discretization. The effect of a centrally located cut-out, modelled within the framework of the extended finite element method, is also studied. A detailed parametric investigation by varying the curvilinear fibre angles at the centre and at the edge of the laminate, the plate geometry, the geometry of the cut-out, the moisture concentration, the thermal gradient and the boundary conditions on the vibration characteristics is numerically studied and it is hoped that this detailed study will help the designers in optimizing such structures under dynamic situation.
34 citations
TL;DR: In this paper, a finite element method is used to model the panel structural dynamics admitting aerodynamic coupling through the first-order piston theory model, and an optimization approach is based on a conventional genetic algorithm to maximize the critical flutter dynamic pressure for different arrangements of stiffened laminate composite panels.
33 citations
Cited by
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31 Oct 2001
TL;DR: The American Society for Testing and Materials (ASTM) as mentioned in this paper is an independent organization devoted to the development of standards for testing and materials, and is a member of IEEE 802.11.
Abstract: The American Society for Testing and Materials (ASTM) is an independent organization devoted to the development of standards.
3,792 citations
TL;DR: An overview of the extended/generalized finite element method (GEFM/XFEM) with emphasis on methodological issues is presented in this article, which enables accurate approximation of solutions that involve jumps, kinks, singularities, and other locally non-smooth features within elements.
Abstract: An overview of the extended/generalized finite element method (GEFM/XFEM) with emphasis on methodological issues is presented. This method enables the accurate approximation of solutions that involve jumps, kinks, singularities, and other locally non-smooth features within elements. This is achieved by enriching the polynomial approximation space of the classical finite element method. The GEFM/XFEM has shown its potential in a variety of applications that involve non-smooth solutions near interfaces: Among them are the simulation of cracks, shear bands, dislocations, solidification, and multi-field problems. Copyright © 2010 John Wiley & Sons, Ltd.
1,228 citations
TL;DR: This manuscript is to give a practical overview of meshless methods (for solid mechanics) based on global weak forms through a simple and well-structured MATLAB code, to illustrate the discourse.
1,088 citations
TL;DR: The essential ingredients in the Virtual Element Method for a simple linear elliptic second-order problem are presented and its computer implementation is emphasized to enable interested readers to readily implement the method.
Abstract: We present the essential ingredients in the Virtual Element Method for a simple linear elliptic second-order problem. We emphasize its computer implementation, which will enable interested readers to readily implement the method.
582 citations
TL;DR: A review of carbon nanotube reinforced composite (CNTRC) materials can be found in this article, where the concept of functionally graded (FG) pattern of reinforcement has been applied for functionally graded carbon nanite reinforced composite materials.
541 citations