Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory

Chien H. Thai; A. J.M. Ferreira; S. P.A. Bordas; T. Rabczuk; H. Nguyen-Xuan

doi:10.1016/j.euromechsol.2013.09.001

Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory

Chien H. Thai
, A. J.M. Ferreira
, S. P.A. Bordas
, T. Rabczuk
, H. Nguyen-Xuan^*

^*Corresponding author for this work

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

312 Citations (Scopus)

Abstract

This paper presents a new inverse tangent shear deformation theory (ITSDT) for the static, free vibration and buckling analysis of laminated composite and sandwich plates. In the present theory, shear stresses are vanished at the top and bottom surfaces of the plates and shear correction factors are no longer required. A weak form of the static, free vibration and buckling models for laminated composite and sandwich plates based on ITSDT is then derived and is numerically solved using an isogeometric analysis (IGA). The proposed formulation requires C¹-continuity generalized displacements and hence basis functions used in IGA fulfill this requirement. Numerical examples are provided to show high efficiency of the present method compared with other published solutions.

Original language	English
Pages (from-to)	89-108
Number of pages	20
Journal	European Journal of Mechanics, A/Solids
Volume	43
DOIs	https://doi.org/10.1016/j.euromechsol.2013.09.001
Publication status	Published - 2014

Bibliographical note

Funding Information:
This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant No. 107.02-2012.17 . The support is gratefully acknowledged.

Keywords

Inverse trigonometric shear deformation theory
Isogeometric analysis
Laminated composite and sandwich plates

ASJC Scopus subject areas

General Materials Science
Mechanics of Materials
Mechanical Engineering
General Physics and Astronomy

Access to Document

10.1016/j.euromechsol.2013.09.001

Cite this

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title = "Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory",

abstract = "This paper presents a new inverse tangent shear deformation theory (ITSDT) for the static, free vibration and buckling analysis of laminated composite and sandwich plates. In the present theory, shear stresses are vanished at the top and bottom surfaces of the plates and shear correction factors are no longer required. A weak form of the static, free vibration and buckling models for laminated composite and sandwich plates based on ITSDT is then derived and is numerically solved using an isogeometric analysis (IGA). The proposed formulation requires C1-continuity generalized displacements and hence basis functions used in IGA fulfill this requirement. Numerical examples are provided to show high efficiency of the present method compared with other published solutions.",

keywords = "Inverse trigonometric shear deformation theory, Isogeometric analysis, Laminated composite and sandwich plates",

author = "Thai, \{Chien H.\} and Ferreira, \{A. J.M.\} and Bordas, \{S. P.A.\} and T. Rabczuk and H. Nguyen-Xuan",

note = "Funding Information: This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant No. 107.02-2012.17 . The support is gratefully acknowledged.",

year = "2014",

doi = "10.1016/j.euromechsol.2013.09.001",

language = "English",

volume = "43",

pages = "89--108",

journal = "European Journal of Mechanics, A/Solids",

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T1 - Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory

AU - Thai, Chien H.

AU - Ferreira, A. J.M.

AU - Bordas, S. P.A.

AU - Rabczuk, T.

AU - Nguyen-Xuan, H.

N1 - Funding Information: This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant No. 107.02-2012.17 . The support is gratefully acknowledged.

PY - 2014

Y1 - 2014

N2 - This paper presents a new inverse tangent shear deformation theory (ITSDT) for the static, free vibration and buckling analysis of laminated composite and sandwich plates. In the present theory, shear stresses are vanished at the top and bottom surfaces of the plates and shear correction factors are no longer required. A weak form of the static, free vibration and buckling models for laminated composite and sandwich plates based on ITSDT is then derived and is numerically solved using an isogeometric analysis (IGA). The proposed formulation requires C1-continuity generalized displacements and hence basis functions used in IGA fulfill this requirement. Numerical examples are provided to show high efficiency of the present method compared with other published solutions.

AB - This paper presents a new inverse tangent shear deformation theory (ITSDT) for the static, free vibration and buckling analysis of laminated composite and sandwich plates. In the present theory, shear stresses are vanished at the top and bottom surfaces of the plates and shear correction factors are no longer required. A weak form of the static, free vibration and buckling models for laminated composite and sandwich plates based on ITSDT is then derived and is numerically solved using an isogeometric analysis (IGA). The proposed formulation requires C1-continuity generalized displacements and hence basis functions used in IGA fulfill this requirement. Numerical examples are provided to show high efficiency of the present method compared with other published solutions.

KW - Inverse trigonometric shear deformation theory

KW - Isogeometric analysis

KW - Laminated composite and sandwich plates

UR - https://www.scopus.com/pages/publications/84887124082

U2 - 10.1016/j.euromechsol.2013.09.001

DO - 10.1016/j.euromechsol.2013.09.001

M3 - Article

AN - SCOPUS:84887124082

SN - 0997-7538

VL - 43

SP - 89

EP - 108

JO - European Journal of Mechanics, A/Solids

JF - European Journal of Mechanics, A/Solids

ER -

Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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