Shear locking free polygonal elements for the analysis of functionally graded plates using (n + 1) integration scheme and Reissner-Mindlin theory

• S. Vengatsan ^[2] ; P. V. Jeyakarthikeyan ^[2] ; T. Rabczuk ^[3] ; S. Natarajan ^[1]
  1. [1] Indian Institute of Technology Madras

     Indian Institute of Technology Madras

     India

     
  2. [2] Centre for Composites and Advanced Materials, Department of Mechanical Engineering, College of Engineering and Technology, SRM Institute of Science and Technology, Chennai, India
  3. [3] Institute of Structural Mechanics, Bauhaus Universität, Weimar, Germany

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• Localización: Mechanics based design of structures and machines, ISSN 1539-7734, Vol. 52, Nº. 8, 2024, págs. 5696-5719
• Idioma: inglés
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  • A new shear-locking free polygonal elements is proposed for static bending and free vibration analysis of thin/thick functionally graded material plates. The domain is discretized with arbitrary polygons and Wachspress interpolants are employed for approximating the unknowns. The plate kinematics is based on Reissner-Mindlin plate theory and shear locking syndrome is suppressed by employing the novel n + 1 integration scheme based on Richardson extrapolation technique. Within this, a two stage sampling technique is introduced with the Weighted Richardson scheme to compute the system matrices. From the systematic study, it is inferred that the proposed scheme passes patch tests and yields accurate results.