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**Static, free vibration, and buckling analysis of laminated composite Reissner-Mindlin plates using NURBS-based isogeometric approach.**
*(English)*
Zbl 1253.74007

Summary: We present 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.

### MSC:

74A40 | Random materials and composite materials |

74H45 | Vibrations in dynamical problems in solid mechanics |

74G60 | Bifurcation and buckling |

74K20 | Plates |

65D17 | Computer-aided design (modeling of curves and surfaces) |

65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |

74S05 | Finite element methods applied to problems in solid mechanics |

### Keywords:

isogeometric analysis; laminated composite Reissner; Mindlin plates; stabilization technique### Software:

Matlab
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\textit{C. H. Thai} et al., Int. J. Numer. Methods Eng. 91, No. 6, 571--603 (2012; Zbl 1253.74007)

Full Text:
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