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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,…

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

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…

计算工程、金融与科学 · 计算机科学 2024-11-26 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…

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

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

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…

数值分析 · 数学 2023-09-08 Myung-Jin Choi , Roger A. Sauer , Sven Klinkel

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…

应用物理 · 物理学 2020-10-05 Kenta Suzuki , Sean E. Phenisee , Marco Salviato

We propose in this paper a novel inverse tangent transverse shear deformation formulation for functionally graded material (FGM) plates. The isogeometric finite element analysis (IGA) of static, free vibration and buckling problems of FGM…

数值分析 · 计算机科学 2013-10-08 H. Nguyen-Xuan , Loc V. Tran , Chien H. Thai , S. Kulasegaram , S. P. A. Bordas

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 contribution, we provide a new mass lumping scheme for explicit dynamics in isogeometric analysis (IGA). To this end, an element formulation based on the idea of dual functionals is developed. Non-Uniform Rational B-splines (NURBS)…

计算工程、金融与科学 · 计算机科学 2024-04-18 Susanne Held , Sascha Eisenträger , Wolfgang Dornisch

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,…

计算工程、金融与科学 · 计算机科学 2014-03-04 Loc V. Tran , Vinh Phu Nguyen , M. Abdel Wahab , H. Nguyen-Xuan

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…

数值分析 · 数学 2020-03-12 I. Akkerman , J. H. A. Meijer , M. ten Eikelder

We develop a mixed formulation for incompressible hyper-elastodynamics based on a continuum modeling framework recently developed and smooth generalizations of the Taylor-Hood element based on non-uniform rational B-splines (NURBS). This…

数值分析 · 数学 2019-08-13 Ju Liu , Alison L. Marsden , Zhen Tao

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

In this work, an efficient and robust isogeometric three-dimensional solid-beam finite element is developed for large deformations and finite rotations with merely displacements as degrees of freedom. The finite strain theory and…

数值分析 · 数学 2023-12-13 Abdullah Shafqat , Oliver Weeger , Bai-Xiang Xu

This article investigates the large deflection and post-buckling of composite plates by employing the Carrera Unified Formulation (CUF). As a consequence, the geometrically nonlinear governing equations and the relevant incremental…

软凝聚态物质 · 物理学 2021-07-28 E. Carrera , R. Azzara , E. Daneshkhah , A. Pagani , B. Wu

Isogeometric analysis (IGA) has emerged as a promising approach in the field of structural optimization, benefiting from the seamless integration between the computer-aided design (CAD) geometry and the analysis model by employing…

最优化与控制 · 数学 2024-07-02 Han Zhao , David Kamensky , John T. Hwang , Jiun-Shyan Chen

Locking is a common effect in finite element and isogeometric analysis. In the case of plates, transverse shear locking is most prominent, for shells several other types of locking exist. A common cure are mixed methods that introduce…

数值分析 · 数学 2026-02-26 Lisa Stammen , Wolfgang Dornisch

Shells are ubiquitous thin structures that can undergo large nonlinear elastic deformations while exhibiting combined modes of bending and stretching, and have profound modern applications. In this paper, we have proposed a new Isogeometric…

软凝聚态物质 · 物理学 2022-06-22 Nikhil Padhye , Subodh Kalia

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

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).…

计算工程、金融与科学 · 计算机科学 2015-11-05 Loc V. Tran , Phuc Phung-Van , Jaehong Lee , H. Nguyen-Xuan , M. Abdel Wahab
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