Isogeometric analysis of laminated composite plates using the higher-order shear deformation theory

Chien H. Thai, Hung Nguyen-Xuan, S. P A Bordas, N. Nguyen-Thanh, Timon Rabczuk

Research output: Contribution to journalArticle

68 Citations (Scopus)

Abstract

Isogeometric analysis (IGA) aims at simplifying the computer aided design (CAD) and computer aided engineering (CAE) pipeline by using the same functions to describe the geometry (CAD) and the unknown fields (Analysis). IGA can be based on a variety of CAD descriptions, the most widely used today being non-uniform rational B-splines (NURBS). In this article, the suitability of NURBS-based isogeometric analysis within a third-order shear deformation theory for the simulation of the static, dynamic, and buckling response of laminated composite plates is investigated. The method employs NURBS basis functions to both represent the geometry (exactly) and the unknown field variables. One of the main advantages of the present method is directly inherited from IGA, that is to easily increase the approximation order. To avoid using a shear correction factor, a third-order shear deformation theory (TSDT) is introduced. It requires C1-continuity of generalized displacements and the NURBS basis functions are well suited for this requirement. Several numerical examples are used to demonstrate the performance of the present method compared with other published ones.

Original languageEnglish
Pages (from-to)451-469
Number of pages19
JournalMechanics of Advanced Materials and Structures
Volume22
Issue number6
DOIs
Publication statusPublished - 2015 Jun 3
Externally publishedYes

Fingerprint

Isogeometric Analysis
Laminated Plates
Laminated Composites
Composite Plates
Deformation Theory
Shear Deformation
Laminated composites
Splines
Shear deformation
Computer-aided Design
Higher Order
B-spline Function
Computer aided design
B-spline
Basis Functions
Unknown
Geometry
Approximation Order
Computer aided engineering
Buckling

Keywords

  • Isogeometric analysis
  • Laminated composite plates
  • Third-order shear deformation theory

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Mathematics(all)
  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Isogeometric analysis of laminated composite plates using the higher-order shear deformation theory. / Thai, Chien H.; Nguyen-Xuan, Hung; Bordas, S. P A; Nguyen-Thanh, N.; Rabczuk, Timon.

In: Mechanics of Advanced Materials and Structures, Vol. 22, No. 6, 03.06.2015, p. 451-469.

Research output: Contribution to journalArticle

Thai, Chien H. ; Nguyen-Xuan, Hung ; Bordas, S. P A ; Nguyen-Thanh, N. ; Rabczuk, Timon. / Isogeometric analysis of laminated composite plates using the higher-order shear deformation theory. In: Mechanics of Advanced Materials and Structures. 2015 ; Vol. 22, No. 6. pp. 451-469.
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