Static, free vibration, and buckling analysis of laminated composite Reissner-Mindlin plates using NURBS-based isogeometric approach

Chien H. Thai; H. Nguyen-Xuan; N. Nguyen-Thanh; T. H. Le; T. Nguyen-Thoi; T. Rabczuk

doi:10.1002/nme.4282

Static, free vibration, and buckling analysis of laminated composite Reissner-Mindlin plates using NURBS-based isogeometric approach

Chien H. Thai
, H. Nguyen-Xuan^*
, N. Nguyen-Thanh
, T. H. Le
, T. Nguyen-Thoi
, T. Rabczuk

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

302 Citations (Scopus)

Abstract

This paper presents a novel numerical procedure based on the framework of isogeometric analysis for static, free vibration, and buckling analysis of laminated composite plates using the first-order shear deformation theory. The isogeometric approach utilizes non-uniform rational B-splines to implement for the quadratic, cubic, and quartic elements. Shear locking problem still exists in the stiffness formulation, and hence, it can be significantly alleviated by a stabilization technique. Several numerical examples are presented to show the performance of the method, and the results obtained are compared with other available ones.

Original language	English
Pages (from-to)	571-603
Number of pages	33
Journal	International Journal for Numerical Methods in Engineering
Volume	91
Issue number	6
DOIs	https://doi.org/10.1002/nme.4282
Publication status	Published - 2012 Aug 10

Keywords

Isogeometric analysis
Laminated composite Reissner-Mindlin plates
Stabilization technique

ASJC Scopus subject areas

Numerical Analysis
General Engineering
Applied Mathematics

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10.1002/nme.4282

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title = "Static, free vibration, and buckling analysis of laminated composite Reissner-Mindlin plates using NURBS-based isogeometric approach",

abstract = "This paper presents a novel numerical procedure based on the framework of isogeometric analysis for static, free vibration, and buckling analysis of laminated composite plates using the first-order shear deformation theory. The isogeometric approach utilizes non-uniform rational B-splines to implement for the quadratic, cubic, and quartic elements. Shear locking problem still exists in the stiffness formulation, and hence, it can be significantly alleviated by a stabilization technique. Several numerical examples are presented to show the performance of the method, and the results obtained are compared with other available ones.",

keywords = "Isogeometric analysis, Laminated composite Reissner-Mindlin plates, Stabilization technique",

author = "Thai, \{Chien H.\} and H. Nguyen-Xuan and N. Nguyen-Thanh and Le, \{T. H.\} and T. Nguyen-Thoi and T. Rabczuk",

year = "2012",

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T1 - Static, free vibration, and buckling analysis of laminated composite Reissner-Mindlin plates using NURBS-based isogeometric approach

AU - Thai, Chien H.

AU - Nguyen-Xuan, H.

AU - Nguyen-Thanh, N.

AU - Le, T. H.

AU - Nguyen-Thoi, T.

AU - Rabczuk, T.

PY - 2012/8/10

Y1 - 2012/8/10

N2 - This paper presents a novel numerical procedure based on the framework of isogeometric analysis for static, free vibration, and buckling analysis of laminated composite plates using the first-order shear deformation theory. The isogeometric approach utilizes non-uniform rational B-splines to implement for the quadratic, cubic, and quartic elements. Shear locking problem still exists in the stiffness formulation, and hence, it can be significantly alleviated by a stabilization technique. Several numerical examples are presented to show the performance of the method, and the results obtained are compared with other available ones.

AB - This paper presents a novel numerical procedure based on the framework of isogeometric analysis for static, free vibration, and buckling analysis of laminated composite plates using the first-order shear deformation theory. The isogeometric approach utilizes non-uniform rational B-splines to implement for the quadratic, cubic, and quartic elements. Shear locking problem still exists in the stiffness formulation, and hence, it can be significantly alleviated by a stabilization technique. Several numerical examples are presented to show the performance of the method, and the results obtained are compared with other available ones.

KW - Isogeometric analysis

KW - Laminated composite Reissner-Mindlin plates

KW - Stabilization technique

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DO - 10.1002/nme.4282

M3 - Article

AN - SCOPUS:84864006149

SN - 0029-5981

VL - 91

SP - 571

EP - 603

JO - International Journal for Numerical Methods in Engineering

JF - International Journal for Numerical Methods in Engineering

IS - 6

ER -

Static, free vibration, and buckling analysis of laminated composite Reissner-Mindlin plates using NURBS-based isogeometric approach

Abstract

Keywords

ASJC Scopus subject areas

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