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Isogeometric locking-free plate element: A simple first order shear deformation theory for functionally graded plates

Shuohui Yin, +5 more
- 01 Dec 2014 - 
- Vol. 118, Iss: 1, pp 121-138
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TLDR
In this article, an effective, simple, robust and locking-free plate formulation is proposed to analyze the static bending, buckling, and free vibration of homogeneous and functionally graded plates.
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This article is published in Composite Structures.The article was published on 2014-12-01 and is currently open access. It has received 176 citations till now. The article focuses on the topics: Isogeometric analysis.

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Journal ArticleDOI

A review of theories for the modeling and analysis of functionally graded plates and shells

Huu-Tai Thai, +1 more
- 15 Sep 2015 - 
TL;DR: A comprehensive review of various theories for the modeling and analysis of functionally graded plates and shells is presented in this paper, where a thorough review of the literature related to the development of three-dimensional elasticity solutions and a unified formulation is also presented.
Journal ArticleDOI

On the high temperature mechanical behaviors analysis of heated functionally graded plates using FEM and a new third-order shear deformation plate theory

Tinh Quoc Bui, +8 more
- 01 May 2016 - 
TL;DR: In this paper, a displacement-based finite element formulation associated with a novel third-order shear deformation plate theory was developed, taking the desirable properties and advantages of the TSDT theory as its kinematics of displacements are derived from elasticity theory rather than the hypothesis of displacement.
Journal ArticleDOI

Buckling and postbuckling of biaxially compressed functionally graded multilayer graphene nanoplatelet-reinforced polymer composite plates

Mitao Song, +4 more
- 01 Oct 2017 - 
TL;DR: In this article, the authors investigated the biaxially compressed buckling and postbuckling behaviors of functionally graded multilayer composite plates reinforced with a low content of graphene nanoplatelets that are randomly oriented and uniformly dispersed in the polymer matrix within each individual layer.
Journal ArticleDOI

Extended isogeometric dynamic and static fracture analysis for cracks in piezoelectric materials using NURBS

Tinh Quoc Bui
- 01 Oct 2015 - 
TL;DR: In this article, an extension of the extended isogeometric analysis (XIGA) for simulation of two-dimensional fracture mechanics problems in piezoelectric materials under dynamic and static coupled electromechanical loads is presented.
Journal ArticleDOI

NURBS-based isogeometric analysis of buckling and free vibration problems for laminated composites plates with complicated cutouts using a new simple FSDT theory and level set method

Tiantang Yu, +5 more
- 01 Apr 2016 - 
TL;DR: In this article, the authors combine the isogeometric analysis, the level set and a simple first-order shear deformation theory (S-FSDT) to form a new effective and accurate approach for simulating free vibration and buckling problems of laminated composite plates with cutouts.
References
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Journal ArticleDOI

Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement

Thomas J. R. Hughes, +2 more
- 01 Oct 2005 - 
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

The NURBS Book

Les A. Piegl, +1 more
TL;DR: This chapter discusses the construction of B-spline Curves and Surfaces using Bezier Curves, as well as five Fundamental Geometric Algorithms, and their application to Curve Interpolation.
Journal ArticleDOI

The effect of transverse shear deformation on the bending of elastic plates

Eric Reissner, +1 more
- 01 Jun 1945 - 
Book

Mesh Free Methods: Moving Beyond the Finite Element Method

Gui-Rong Liu
TL;DR: In this paper, Galerkin et al. defined mesh-free methods for shape function construction, including the use of mesh-less local Petrov-Galerkin methods.
Journal ArticleDOI

Isogeometric Analysis of Structural Vibrations

J. A. Cottrell, +3 more
- 15 Aug 2006 - 
TL;DR: In this paper, the concept of k-refinement is explored and shown to produce more accurate and robust results than corresponding finite elements, including rods, thin beams, membranes, and thin plates.
Related Papers (5)

Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement

Thomas J. R. Hughes, +2 more
- 01 Oct 2005 - 

NURBS-based finite element analysis of functionally graded plates: Static bending, vibration, buckling and flutter

N. Valizadeh, +5 more
- 01 May 2013 - 

Analysis of functionally graded plates

J. N. Reddy
- 10 Jan 2000 - 

Free vibration and buckling analysis of laminated composite plates using the NURBS-based isogeometric finite element method

Saeed Shojaee, +4 more
- 01 Apr 2012 - 

The NURBS Book

Les A. Piegl, +1 more
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Q1. What contributions have the authors mentioned in the paper "Isogeometric locking-free plate element: a simple first order shear deformation theory for functionally graded plates" ?

In this paper, an effective, simple, and locking-free plate formulation is proposed to analyze the static bending, buckling, and free vibration of homogeneous and functionally graded plates.