A locking-free quadratic nurbs-based isogeometric formulation for plates analysis

Authors

  • Thai Hoang Chien
    Ton Duc Thang University HCM, Vietnam
  • Nguyen Xuan Hung
    University of Science HCM, Vietnam
  • Nguyen Thoi Trung
    University of Science HCM, Vietnam

Keywords:

Isogeometric analysis; Non-Uniform Rational B-splines (NURBS); MITC; Reissner-Mindlin plate.

Abstract

A new Reissner-Mindlin plate formulation based on a quadratic NURBS-based isogeometric is presented. In order to avoid the transverse shear locking and to improve the accuracy of the present formulation, the quadratic NURBS-based isogeometric is incorporated with the Mixed Interpolation of Tensorial Components (MITC) technique to give a so-called quadratic NURBS-based isogeometric Mixed Interpolation of Tensorial Components method (Nurbs-MITC9). Numerical results of the proposed formulation show excellent performance compared to other available approaches.

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References

F. Brezzi, M. Fortin and R. Stenberg. Error analysis of mixed-interpolated elements for Reissner Mindlin plates, Mathematical Models and Methods in Applied Sciences 1 (1991) 125–151.

R. Duran and E. Liberman. On mixed finite element methods for the Reissner–Mindlin plate model. Mathematics of Computation 58 (1992) 561–573.

T.J.R. Hughes, J.A. Cottrell, and Y. Bazilevs. Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. Computer Methods in Applied Mechanics and Engineering 194 (2005) 4135–4195.

T. Elguedj, Y. Bazilevs, V. Calo, T. Hughes. B and F projection methods for nearly incompressible linear and non-linear elasticity and plasticity using higher-order nurbs elements. Computer Methods in Applied Mechanics and Engineering 197 (2008) 2732–2762.

J.A. Cottrell, A. Reali, Y. Bazilevs, and T.J.R. Hughes. Isogeometric analysis of structural vibrations. Computer Methods in Applied Mechanics and Engineering 195 (2006) 5257–5296.

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Received: 04-06-2020
Accepted: 04-06-2020
Published: 15-03-2012

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Abstract: 279
PDF: 191

How to Cite

Chien, T. H., Hung, N. X., & Trung, N. T. (2012). A locking-free quadratic nurbs-based isogeometric formulation for plates analysis. Ho Chi Minh City Open University Journal of Science - Engineering and Technology, 2(1), 40–50. Retrieved from https://journalofscience.ou.edu.vn/index.php/tech-en/article/view/390

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Copyright (c) 2012 Thai Hoang Chien; Nguyen Xuan Hung; Nguyen Thoi Trung

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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