Extended isogeometric analysis based on Bézier extraction for the buckling analysis of Mindlin–Reissner plates

Extended isogeometric analysis based on Bézier extraction for the buckling analysis of... In this paper, the buckling analysis for the Mindlin–Reissner plates is performed by applying the isogeometric analysis (IGA) coupled with Bézier extraction operator. The Bézier extraction operator allows the incorporation of non-uniform rational B-spline-based IGA into the existing finite element method (FEM) work frame. For cracked plates, the extended IGA (XIGA) is employed. Unlike previous FEM approaches, the present method is expected to be more accurate and to achieve higher convergence as the polynomial order increases. A discrete shear gap is applied to address shear locking. The results obtained by the present method for the plates with and without crack are compared with the reference solutions. It is found that the present method possesses the following desirable properties: (i) the simulation results are found to be in good agreement with the reference solutions; (ii) the present method is able to preserve the exact geometry of complicated surfaces; and (iii) the method can be applicable to both moderately thick and thin plates straightforwardly. The effects of various plate shapes, side-to-thickness ratio, aspect ratio, crack length, and boundary conditions are also studied. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mechanica Springer Journals

Extended isogeometric analysis based on Bézier extraction for the buckling analysis of Mindlin–Reissner plates

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Publisher
Springer Vienna
Copyright
Copyright © 2017 by Springer-Verlag Wien
Subject
Engineering; Theoretical and Applied Mechanics; Classical and Continuum Physics; Continuum Mechanics and Mechanics of Materials; Structural Mechanics; Vibration, Dynamical Systems, Control; Engineering Thermodynamics, Heat and Mass Transfer
ISSN
0001-5970
eISSN
1619-6937
D.O.I.
10.1007/s00707-017-1861-0
Publisher site
See Article on Publisher Site

Abstract

In this paper, the buckling analysis for the Mindlin–Reissner plates is performed by applying the isogeometric analysis (IGA) coupled with Bézier extraction operator. The Bézier extraction operator allows the incorporation of non-uniform rational B-spline-based IGA into the existing finite element method (FEM) work frame. For cracked plates, the extended IGA (XIGA) is employed. Unlike previous FEM approaches, the present method is expected to be more accurate and to achieve higher convergence as the polynomial order increases. A discrete shear gap is applied to address shear locking. The results obtained by the present method for the plates with and without crack are compared with the reference solutions. It is found that the present method possesses the following desirable properties: (i) the simulation results are found to be in good agreement with the reference solutions; (ii) the present method is able to preserve the exact geometry of complicated surfaces; and (iii) the method can be applicable to both moderately thick and thin plates straightforwardly. The effects of various plate shapes, side-to-thickness ratio, aspect ratio, crack length, and boundary conditions are also studied.

Journal

Acta MechanicaSpringer Journals

Published: May 19, 2017

References

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