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Isogeometric analysis of functionally graded plates using a refined plate theory

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Abstract
We present in this paper a simple and effective approach that incorporates isogeometric finite element analysis (IGA) with a refined plate theory (RPT) for static, free vibration and buckling analysis of functionally graded material (FGM) plates. A new inverse tangent distributed function through the plate thickness is proposed. The RPT enables us to describe the non-linear distribution of shear stresses through the plate thickness without any requirement of shear correction factors (SCF). IGA utilizes basis functions namely B-splines or non-uniform rational B-splines (NURBS) which reach easily the smoothness of any arbitrary order. It hence satisfies the C1 requirement of the RPT model. The present method approximates the displacement field with four degrees of freedom per each control point allowing an efficient solution process.
Keywords
Vibration, Buckling, Plates, Computational modeling, FGM

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Citation

Please use this url to cite or link to this publication:

Chicago
Nguyen-Xuan, Hung , Loc Tran Vinh, Hoang Chien Thai, S Kulasegaram, and SPA Bordas. 2014. “Isogeometric Analysis of Functionally Graded Plates Using a Refined Plate Theory.” Composites Part B-engineering 64: 222–234.
APA
Nguyen-Xuan, H., Tran Vinh, L., Thai, H. C., Kulasegaram, S., & Bordas, S. (2014). Isogeometric analysis of functionally graded plates using a refined plate theory. COMPOSITES PART B-ENGINEERING, 64, 222–234.
Vancouver
1.
Nguyen-Xuan H, Tran Vinh L, Thai HC, Kulasegaram S, Bordas S. Isogeometric analysis of functionally graded plates using a refined plate theory. COMPOSITES PART B-ENGINEERING. 2014;64:222–34.
MLA
Nguyen-Xuan, Hung , Loc Tran Vinh, Hoang Chien Thai, et al. “Isogeometric Analysis of Functionally Graded Plates Using a Refined Plate Theory.” COMPOSITES PART B-ENGINEERING 64 (2014): 222–234. Print.
@article{5746814,
  abstract     = {We present in this paper a simple and effective approach that incorporates isogeometric finite element analysis (IGA) with a refined plate theory (RPT) for static, free vibration and buckling analysis of functionally graded material (FGM) plates. A new inverse tangent distributed function through the plate thickness is proposed. The RPT enables us to describe the non-linear distribution of shear stresses through the plate thickness without any requirement of shear correction factors (SCF). IGA utilizes basis functions namely B-splines or non-uniform rational B-splines (NURBS) which reach easily the smoothness of any arbitrary order. It hence satisfies the C1 requirement of the RPT model. The present method approximates the displacement field with four degrees of freedom per each control point allowing an efficient solution process.},
  author       = {Nguyen-Xuan, Hung  and Tran Vinh, Loc and Thai, Hoang Chien and Kulasegaram, S and Bordas, SPA},
  issn         = {1359-8368},
  journal      = {COMPOSITES PART B-ENGINEERING},
  language     = {eng},
  pages        = {222--234},
  title        = {Isogeometric analysis of functionally graded plates using a refined plate theory},
  volume       = {64},
  year         = {2014},
}

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