Isogeometric analysis of functionally graded plates using a refined plate theory

By Hung Nguyen-Xuan, Loc V. Tran, Chien H. Thai, Sivakumar Kulasegaram, Stéphane P.A. Bordas. 2014

182 citations recorded by the source corpus.

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.

Subfields: Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/0c06546b88a39b532b3173ef4de1c70303aa3772

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In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

Geometrically nonlinear isogeometric analysis of functionally graded microplates with the modified couple stress theory (2017, background): “IGA are also widely applied to solve for mechanical and thermal behaviours of complex structures such as plates [48, 49, 50] and shells [51, 52, 53, 54].”
Size-dependent nonlinear analysis and damping responses of FG-CNTRC micro-plates (2019, methodology): “IGA has been widely implemented in developing the numerical solutions for mechanical problems [47-53].”