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In this paper, the linear free flexural vibrations of functionally graded material plates with a through center crack is studied using an 8-noded shear flexible element. The material properties are assumed to be temperature dependent and…

Numerical Analysis · Mathematics 2011-07-21 S Natarajan , PM Baiz , M Ganapathi , P Kerfriden , S Bordas

The nonlinear formulation developed based on von Karman's assumptions is employed to study the free vibration characteristics of functionally graded material (FGM) plates subjected to thermal environment. Temperature field is assumed to be…

Numerical Analysis · Mathematics 2011-07-28 N Sundararajan , T Prakash , M Ganapathi

In this paper, a non-uniform rational B-spline based iso-geometric finite element method is used to study the static and dynamic characteristics of functionally graded material (FGM) plates. The material properties are assumed to be graded…

In this paper, the linear free flexural vibration of cracked functionally graded material plates is studied using the extended finite element method. A 4-noded quadrilateral plate bending element based on field and edge consistency…

Numerical Analysis · Mathematics 2011-07-21 S Natarajan , PM Baiz , S Bordas , T Rabczuk , P Kerfriden

In this paper, the bending and the free flexural vibration behaviour of sandwich functionally graded material (FGM) plates are investigated using QUAD-8 shear flexible element developed based on higher order structural theory. This theory…

Numerical Analysis · Mathematics 2012-04-11 S. Natarajan , M. Ganapathi

In this paper, a cell based smoothed finite element method with discrete shear gap technique is employed to study the static bending, free vibration, mechanical and thermal buckling behaviour of functionally graded material (FGM) plates.…

Numerical Analysis · Mathematics 2013-06-21 S Natarajan , AJM Ferreira , S Bordas , E Carrera , M Cinefra , AM Zenkour

In this paper, the effect of a centrally located cutout (circular and elliptical) and cracks emanating from the cutout on the free flexural vibration behaviour of functionally graded material plates in thermal environment is studied. The…

Numerical Analysis · Mathematics 2013-01-11 Ahmad Akbari Rahimabadi , Sundararajan Natarajan , Stephane P. A. Bordas

We develop a strain gradient plasticity formulation for composite materials with spatially varying volume fractions to characterize size effects in functionally graded materials (FGMs). The model is grounded on the mechanism-based strain…

Materials Science · Physics 2018-07-27 Tittu V. Mathew , Sundararajan Natarajan , Emilio Martínez-Pañeda

In this paper, the axial vibration of cracked beams, the free flexural vibrations of nanobeams and plates based on Timoshenko beam theory and first-order shear deformable plate theory, respectively, using Eringen's nonlocal elasticity…

Numerical Analysis · Mathematics 2012-03-20 S. Natarajan , T. Rabczuk , S. Bordas , D. Roy Mahapatra

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. The in-plane dimensions of the plate are modeled by…

Numerical Analysis · Mathematics 2017-01-12 Tingsong Xiang , Sundararajan Natarajan , Hou Man , Chongmin Song , Wei Gao

An exact solution based on a unique procedure is presented for free vibration of stepped circular and annular functionally graded (FG) plates via first-order shear deformation plate theory of Mindlin. A power-law distribution of the volume…

Analysis of PDEs · Mathematics 2018-11-02 Masoud Derakhshani , Shahrokh Hosseini-Hashemi , Mohammad Fadaee

A novel and effective formulation that combines the eXtended IsoGeometric Approach (XIGA) and Higher-order Shear Deformation Theory (HSDT) is proposed to study the free vibration of cracked Functionally Graded Material (FGM) plates. Herein,…

Computational Engineering, Finance, and Science · Computer Science 2014-03-04 Loc V. Tran , Vinh Phu Nguyen , M. Abdel Wahab , H. Nguyen-Xuan

The structural flexibility of low dimensional nanomaterials offers unique opportunities for studying the impact of strain on their physical properties and for developing innovative devices utilizing strain engineering. A key towards such…

Mesoscale and Nanoscale Physics · Physics 2015-11-03 Fen Guan , Piranavan Kumaravadivel , Dmitri V. Averin , Xu Du

In this paper, the effect of local defects, viz., cracks and cutouts on the buckling behaviour of functionally graded material plates subjected to mechanical and thermal load is numerically studied. The internal discontinuities, viz.,…

Numerical Analysis · Mathematics 2013-11-14 S Natarajan , S Chakraborty , M Ganapathi , M Subramaniam

The flexoelectric and electronic properties of zig-zag graphene nanoribbons are explored under mechanical bending using state of the art first principles calculations. A linear dependence of the bending induced out of plane polarization on…

Materials Science · Physics 2021-06-03 Tribhuwan Pandey , Lucian Covaci , Francois M. Peeters

In this paper, I presented the analysis and numerical results for free transverse vibration of thin rectangular plates having arbitrarily varying non-homogeneity with the in-plane coordinates along the two concurrent edges. For finding the…

Classical Physics · Physics 2018-10-16 Avinash Kumar

Functionally graded material (FGM) is a class of advanced materials, consisting of two (or more) different constituents, that possesses a continuously varying composition profile. With the advancement of nanotechnology, applications of FGMs…

In this work, we present a compactly supported radial basis function (CSRBF) based meshfree method to analyse geometrically nonlinear flexoelectric nanostructures considering surface effects. Flexoelectricity is the polarization of…

Computational Physics · Physics 2019-11-18 Xiaoying Zhuang , S. S. Nanthakumar , Timon Rabczuk

In this paper, equilibrium and stability equations of functionally graded material (FGM) plate under thermal environment are formulated based on isogeometric analysis (IGA) in combination with higher-order shear deformation theory (HSDT).…

Computational Engineering, Finance, and Science · Computer Science 2015-11-05 Loc V. Tran , Phuc Phung-Van , Jaehong Lee , H. Nguyen-Xuan , M. Abdel Wahab

Nanoscale materials display enhanced strength and toughness but also larger fluctuations and more pronounced size effects with respect to their macroscopic counterparts. Here we study the system size-dependence of the failure strength…

Mesoscale and Nanoscale Physics · Physics 2015-08-25 Alessandro Luigi Sellerio , Alessandro Taloni , Stefano Zapperi
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