Journal ArticleDOI
Isogeometric analysis of large-deformation thin shells using RHT-splines for multiple-patch coupling
Nhon Nguyen-Thanh,Kun Zhou,Xiaoying Zhuang,Pedro M. A. Areias,Hung Nguyen-Xuan,Yuri Bazilevs,Timon Rabczuk,Timon Rabczuk +7 more
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TLDR
In this article, an isogeometric thin shell formulation for multi-patches based on rational splines over hierarchical T-meshes (RHT-splines) is presented.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2017-04-01. It has received 215 citations till now. The article focuses on the topics: Isogeometric analysis & Partition of unity.read more
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Sensitivity and uncertainty analysis for flexoelectric nanostructures
TL;DR: In this article, sensitivity analysis has been applied to identify the key input parameters influencing the energy conversion factor (ECF) of flexoelectric materials, and the sensitivity of the model output to each of the input parameters at different aspect ratios of the beam is quantified by three various common methods, i.e., Morris One-At-a-Time (MOAT), PCE-Sobol', and Extended Fourier amplitude sensitivity test (EFAST).
Journal ArticleDOI
Free vibration, buckling and bending analyses of multilayer functionally graded graphene nanoplatelets reinforced composite plates using the NURBS formulation
TL;DR: In this paper, a NURBS formulation based on the four-variable refined plate theory (RPT) for free vibration, buckling and static bending analyses of multilayer functionally graded graphene platelets reinforced composite (FG GPLRC) plates, for the first time, is proposed.
Journal ArticleDOI
An isogeometric approach of static and free vibration analyses for porous FG nanoplates
TL;DR: In this article, the porosity-dependent analysis of functionally graded nanoplates, which are made of two kinds of porous materials, based on isogeometric approach for the first time was presented.
Journal ArticleDOI
NURBS-based postbuckling analysis of functionally graded carbon nanotube-reinforced composite shells
TL;DR: In this article, the authors investigated the postbuckling and geometrically nonlinear behaviors of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) shells.
Journal ArticleDOI
NURBS-based isogeometric thermal postbuckling analysis of temperature dependent graphene reinforced composite laminated plates
TL;DR: In this paper, a thermal postbuckling analysis for composite laminated plates reinforced with graphene sheets is performed, where all of the thermomechanical properties of the composite media are assumed to be temperature dependent.
References
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Book
Theory of plates and shells
TL;DR: In this article, the authors describe the bending of long RECTANGULAR PLATES to a cycloidal surface, and the resulting deformation of shels without bending the plates.
Journal ArticleDOI
Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement
TL;DR: In this article, the concept of isogeometric analysis is proposed and the basis functions generated from NURBS (Non-Uniform Rational B-Splines) are employed to construct an exact geometric model.
Book
Nonlinear Finite Elements for Continua and Structures
TL;DR: In this paper, the authors present a list of boxes for Lagrangian and Eulerian Finite Elements in One Dimension (LDF) in one dimension, including Beams and Shells.
Book
A Posteriori Error Estimation in Finite Element Analysis
Mark Ainsworth,J. Tinsley Oden +1 more
TL;DR: In this paper, a summary account of the subject of a posteriori error estimation for finite element approximations of problems in mechanics is presented, focusing on methods for linear elliptic boundary value problems.
Journal ArticleDOI
The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique
O. C. Zienkiewicz,J. Z. Zhu +1 more
TL;DR: In this article, a general recovery technique is developed for determining the derivatives (stresses) of the finite element solutions at nodes, which has been tested for a group of widely used linear, quadratic and cubic elements for both one and two dimensional problems.