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In this paper, a novel and effective formulation based on isogeometric approach (IGA) and Refined Plate Theory (RPT) is proposed to study the behavior of laminated composite plates. Using many kinds of higher-order distributed functions,…

Computational Engineering, Finance, and Science · Computer Science 2014-03-04 Loc V. Tran , Chien H. Thai , Buntara S. Gan , H. Nguyen-Xuan

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

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

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, we present an effectively numerical approach based on isogeometric analysis (IGA) and higher-order shear deformation theory (HSDT) for geometrically nonlinear analysis of laminated composite plates. The HSDT allows us to…

Computational Engineering, Finance, and Science · Computer Science 2015-06-23 Loc V. Tran , Jaehong Lee , H. Nguyen-Van , H. Nguyen-Xuan , M. Abdel Wahab

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

Analysis of static bending, free vibration and buckling behaviours of functionally graded microplates is investigated in this study. The main idea is to use the isogeometric analysis in associated with novel four-variable refined plate…

Computational Engineering, Finance, and Science · Computer Science 2016-12-21 Hoang X. Nguyen , Tuan N. Nguyen , M. Abdel-Wahab , S. P. A. Bordas , H. Nguyen-Xuan , Thuc P. Vo

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

This paper presents an effective formulation to study the response of laminated composites based on isogeometric approach (IGA) and Carrera unified formulation (CUF). The IGA utilizes the non-uniform rational B-spline (NURBS) functions…

Numerical Analysis · Mathematics 2013-12-17 S Natarajan , H Nguyen-Xuan , AJM Ferreira , E Carrera

In the present paper, a new parabolic shear deformation beam theory is developed and applied to investigate the bending behavior of functionally graded (FG) sandwich curved beam. The present theory is exploited to satisfy parabolic…

We compare convergence of isogeometric analysis (IGA), a spline modification of finite element method (FEM), with FEM in the context of our real space code for ab-initio electronic structure calculations of non-periodic systems. The…

Computational Physics · Physics 2021-01-07 Robert Cimrman , Matyáš Novák , Radek Kolman , Miroslav Tůma , Jiří Vackář

This paper focuses on the isogeometric vibration analysis of curvilinearly stiffened composite panels. The stiffness matrices and the mass matrices are derived using the first-order shear deformation theory (FSDT). The present method models…

Computational Engineering, Finance, and Science · Computer Science 2024-11-26 Balakrishnan Devarajan

This paper presents a novel variational formulation to simulate linear free-surface flow. The variational formulation is suitable for higher-order finite elements and higher-order and higher-continuity shape functions as employed in…

Numerical Analysis · Mathematics 2020-03-12 I. Akkerman , J. H. A. Meijer , M. ten Eikelder

In this communication the advantages and drawbacks of the isogeometric analysis (IGA) are reviewed in the context of electromagnetic simulations. IGA extends the set of polynomial basis functions, commonly employed by the classical Finite…

Computational Engineering, Finance, and Science · Computer Science 2017-09-19 Zeger Bontinck , Jacopo Corno , Herbert De Gersem , Stefan Kurz , Andreas Pels , Sebastian Schöps , Felix Wolf , Carlo de Falco , Jürgen Dölz , Rafael Vázquez , Ulrich Römer

In this paper we develop a new simple and effective isogeometric analysis for modeling thermal buckling of stiffened laminated composite plates with cutouts using level sets. We employ a first order shear deformation theory to approximate…

Computational Engineering, Finance, and Science · Computer Science 2022-01-11 Balakrishnan Devarajan

This paper investigates nonlinear bending and buckling behaviours of composite plates characterized by a thickness variation. Layer interfaces are described as functions of inplane coordinates. Top and bottom surfaces of the plate are…

Computational Engineering, Finance, and Science · Computer Science 2016-04-06 T. Le-Manh , Q. Huynh-Van , Thu D. Phan , Huan D. Phan , H. Nguyen-Xuan

We propose Floating Isogeometric Analysis (FLIGA), which extends the concepts of IGA to Lagrangian extreme deformation analysis. The method is based on a novel tensor-product construction of B-Splines for the update of the basis functions…

Computational Engineering, Finance, and Science · Computer Science 2022-02-15 Helge C. Hille , Siddhant Kumar , Laura De Lorenzis

In this paper, a cell-based smoothed finite element method with discrete shear gap technique for triangular ele- ments is employed to study the linear flutter characteristics of functionally graded material (FGM) flat panels. The influence…

Numerical Analysis · Mathematics 2013-09-04 Sundararajan Natarajan , Karthik Kaleeswaran , Ganapathi Manickam

Functionally graded porous plates have been validated as remarkable lightweight structures with excellent mechanical characteristics and numerous applications. With inspiration from the high strength-to-volume ratio of triply periodic…

Materials Science · Physics 2023-04-11 H. Nguyen-Xuan , Kim Q. Tran , Chien H. Thai , Jaehong Lee

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
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