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In this paper, we propose an effective computational approach to analyze and active control of geometrically nonlinear responses of functionally graded (FG) porous plates with graphene nanoplatelets (GPLs) reinforcement integrated with…

Applied Physics · Physics 2023-09-07 Nam V. Nguyen , Lieu B. Nguyen , H. Nguyen-Xuan , Jaehong Lee

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

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 we propose a new refined shear deformation plate theory which possesses a series of desirable features, the most salient of which are as follows: (i) The loads, which are generally considered to be applied on the middle…

Classical Physics · Physics 2015-01-23 Jose Miguel Martinez Valle

This paper deals with a special class of parametrizations for Isogeometric Analysis (IGA). The so-called scaled boundary parametrizations are easy to construct and particularly attractive if only a boundary description of the computational…

Numerical Analysis · Mathematics 2017-11-22 Clarissa Arioli , Alexander Shamanskiy , Sven Klinkel , Bernd Simeon

Isogeometric analysis (IGA) is used to simulate a permanent magnet synchronous machine. IGA uses non-uniform rational B-splines to parametrise the domain and to approximate the solution space, thus allowing for the exact description of the…

Computational Engineering, Finance, and Science · Computer Science 2017-08-09 Zeger Bontinck , Jacopo Corno , Prithvi Bhat , Herbert De Gersem , Sebastian Schöps

In this paper a new integral equation solution to the elastic-plastic problem of functionally graded bars under torsional loading is presented. The formulation is general in the sense that it can be applied to an arbitrary cross-section…

Numerical Analysis · Mathematics 2017-05-30 George C. Tsiatas , Nick G. Babouskos

In electronic structure calculations, various material properties can be obtained by means of computing the total energy of a system as well as derivatives of the total energy w.r.t. atomic positions. The derivatives, also known as…

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

Accurate finite element analysis of refined shell theories is crucial but often hindered by membrane and shear locking effects. While various element-based locking-free techniques exist, this work addresses the problem at the theoretical…

Numerical Analysis · Mathematics 2025-08-26 Khanh Chau Le , Hoang-Giang Bui

A formulation of the asymptotically exact first-order shear deformation theory for linear-elastic homogeneous plates in the rescaled coordinates and rotation angles is considered. This allows the development of its asymptotically accurate…

Numerical Analysis · Mathematics 2024-04-17 Khanh Chau Le , Hoang Giang Bui

Simulation techniques such as the finite element method are essential for designing electrical devices, but their computational cost can be prohibitive for repeated or real-time computations. Projection-based model order reduction…

Computational Engineering, Finance, and Science · Computer Science 2026-01-27 Matteo Zorzetto , Merle Backmeyer , Michael Wiesheu , Riccardo Torchio , Fabrizio Dughiero , Sebastian Schöps

Functionally graded porous (FGP) plates have been introduced as modern structural members which open a new window to optimal and functional designs. Despite the need to study the effect of graded porosity on the mechanical behavior of FGP…

Materials Science · Physics 2021-10-05 S. K. Jalali , M. J. Beigrezaee , Nicola M. Pugno

A novel approach which combines isogeometric collocation and an equilibrium-based stress recovery technique is applied to analyze laminated composite plates. Isogeometric collocation is an appealing strong form alternative to standard…

Numerical Analysis · Mathematics 2024-12-20 Alessia Patton , John-Eric Dufour , Pablo Antolin , Alessandro Reali

The advent of multi-material additive manufacturing and automated composite manufacturing has enabled the design of structures featuring complex curvilinear anisotropy. To take advantage of the new design space, efficient computational…

Applied Physics · Physics 2020-10-05 Kenta Suzuki , Sean E. Phenisee , Marco Salviato

This paper develops a unified theoretical framework for constructing B-spline basis function spaces with structural equivalence to finite element spaces. The theory rigorously establishes that these bases emerge as explicit linear…

Numerical Analysis · Mathematics 2026-01-29 Peng Yang , Maodong Pan , Falai Chen , Zhimin Zhang

In this paper, a force-based beam finite element model based on a modified higher-order shear deformation theory is proposed for the accurate analysis of functionally graded beams. In the modified higher-order shear deformation theory, the…

Computational Engineering, Finance, and Science · Computer Science 2025-07-15 Wenxiong Li , Huiyi Chen , Suiyin Chen , Zhiwei Liu

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

Upper bound limit analysis allows one to evaluate directly the ultimate load of structures without performing a cumbersome incremental analysis. In order to numerically apply this method to thin plates in bending, several authors have…

Numerical Analysis · Mathematics 2014-10-02 Jérémy Bleyer , Guillaume Carlier , Vincent Duval , Jean-Marie Mirebeau , Gabriel Peyré

The effect of higher order continuity in the solution field by using NURBS basis function in isogeometric analysis (IGA) is investigated for an efficient mixed finite element formulation for elastostatic beams. It is based on the Hu-Washizu…

Numerical Analysis · Mathematics 2023-09-08 Myung-Jin Choi , Roger A. Sauer , Sven Klinkel

Bilayer plates are slender structures made of two thin layers of different materials. They react to environmental stimuli and undergo large bending deformations with relatively small actuation. The reduced model is a constrained…

Numerical Analysis · Mathematics 2023-11-27 Andrea Bonito , Ricardo H. Nochetto , Shuo Yang