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In this paper, the finite free-form beam element is formulated by the isogeometric approach based on the Timoshenko beam theory to investigate the free vibration behavior of the beams. The non-uniform rational B-splines (NURBS) functions…

计算工程、金融与科学 · 计算机科学 2024-11-26 Balakrishnan Devarajan

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…

数值分析 · 数学 2013-12-17 S Natarajan , H Nguyen-Xuan , AJM Ferreira , E Carrera

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,…

计算工程、金融与科学 · 计算机科学 2014-03-04 Loc V. Tran , Chien H. Thai , Buntara S. Gan , H. Nguyen-Xuan

Plate motion near the fault gouge layer, and the elastic interplay between the gouge layer and the plate under stick-slip conditions, is key to understanding the dynamics of sheared granular fault systems. Here, a two-dimensional…

地球物理 · 物理学 2020-08-12 Ke Gao , Robert A. Guyer , Esteban Rougier , Paul A. Johnson

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…

计算工程、金融与科学 · 计算机科学 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 flutter behaviour of simply supported square functionally graded material plates immersed in a supersonic flow is studied. An enriched 4-noded quadrilateral element based on field consistency approach is used for this…

数值分析 · 数学 2012-03-14 S Natarajan , M Ganapathi , S Bordas

Sheared granular layers undergoing stick slip behavior are broadly employed to study the physics and dynamics of earthquakes. Here, a two dimensional implementation of the combined finite discrete element method (FDEM), which merges the…

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…

材料科学 · 物理学 2018-07-27 Tittu V. Mathew , Sundararajan Natarajan , Emilio Martínez-Pañeda

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…

计算工程、金融与科学 · 计算机科学 2016-04-06 T. Le-Manh , Q. Huynh-Van , Thu D. Phan , Huan D. Phan , H. Nguyen-Xuan

This paper presents a conforming thin plate bending element based on the Partition of Unity Finite Element Method (PUFEM), for the simulation of steady-state forced vibration. The issue of ensuring the continuity of displacement and slope…

数值分析 · 数学 2025-06-04 Tong Zhou , Jean-Daniel Chazot , Emmanuel Perrey-Debain , Li Cheng

A displacement-based, geometrically nonlinear finite element model is developed for lattice core sandwich panels modeled as 2-D equivalent single-layer (ESL), first-order shear deformation theory (FSDT) micropolar plates. The nonlinearity…

应用物理 · 物理学 2020-10-14 Praneeth Nampally , Anssi T. Karttunen , JN Reddy

For quartz crystal resonators of thickness-shear type, the vibration frequency and mode shapes, which are key features of resonators in circuit applications, reflect the basic material and structural properties of the quartz plate and its…

材料科学 · 物理学 2016-11-17 Ji Wang , Wenliang Zhang , Dejin Huang , Tingfeng Ma , Jianke Du , Lijun Yi

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…

偏微分方程分析 · 数学 2018-11-02 Masoud Derakhshani , Shahrokh Hosseini-Hashemi , Mohammad Fadaee

A nonlinear analysis of high-frequency thickness-shear vibrations of AT-cut quartz crystal plates is presented with the two-dimensional finite element method. We expanded both kinematic and constitutive nonlinear Mindlin plate equations and…

材料科学 · 物理学 2014-02-20 Ji Wang , Yangyang Chen , Rongxing Wu , Lihong Wang , Huimin Jing , Jianke Du , Yuantai Hu , Guoqing Li

This work investigates the existing capabilities and limitations in numerical modeling of fracture problems in functionally graded materials (FGMs) by means of the well-known finite element code ABAQUS. Quasi-static crack initiation and…

材料科学 · 物理学 2017-11-02 Emilio Martínez-Pañeda , Rafael Gallego

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…

计算工程、金融与科学 · 计算机科学 2025-07-15 Wenxiong Li , Huiyi Chen , Suiyin Chen , Zhiwei Liu

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…

计算工程、金融与科学 · 计算机科学 2015-06-23 Loc V. Tran , Jaehong Lee , H. Nguyen-Van , H. Nguyen-Xuan , M. Abdel Wahab

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…

计算工程、金融与科学 · 计算机科学 2022-01-11 Balakrishnan Devarajan

The effect of moisture concentration and the thermal gradient on the free flexural vibration and buckling of laminated composite plates are investigated. The effect of a centrally located cutout on the global response is also studied. The…

数值分析 · 数学 2013-11-14 Sundararajan Natarajan , Pratik S Deogekar

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…

材料科学 · 物理学 2023-04-11 H. Nguyen-Xuan , Kim Q. Tran , Chien H. Thai , Jaehong Lee