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A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner–Mindlin plates

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Abstract

In this paper, a node-based smoothed finite element method (NS-FEM) using 3-node triangular elements is formulated for static, free vibration and buckling analyses of Reissner–Mindlin plates. The discrete weak form of the NS-FEM is obtained based on the strain smoothing technique over smoothing domains associated with the nodes of the elements. The discrete shear gap (DSG) method together with a stabilization technique is incorporated into the NS-FEM to eliminate transverse shear locking and to maintain stability of the present formulation. A so-called node-based smoothed stabilized discrete shear gap method (NS-DSG) is then proposed. Several numerical examples are used to illustrate the accuracy and effectiveness of the present method.

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Authors and Affiliations

  1. Department of Mechanics, Faculty of Mathematics and Computer Science, University of Science, Vietnam National University, HCM, 227 Nguyen Van Cu, District 5, Ho Chi Minh City, Vietnam

    H. Nguyen-Xuan & T. Nguyen-Thoi

  2. Division of Computational Mechanics, Faculty of Civil Engineering, Ton Duc Thang University, 98 Ngo Tat To, Binh Thanh District, Ho Chi Minh City, Vietnam

    H. Nguyen-Xuan & T. Nguyen-Thoi

  3. Institute of Structural Mechanics (ISM), Bauhaus-University Weimar, Marienstr. 15, 99423, Weimar, Germany

    T. Rabczuk & N. Nguyen-Thanh

  4. School of Engineering, Institute of Theoretical, Applied and Computational Mechanics, Cardiff University, Wales, UK

    S. Bordas

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  1. H. Nguyen-Xuan
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  2. T. Rabczuk
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  3. N. Nguyen-Thanh
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  4. T. Nguyen-Thoi
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Nguyen-Xuan, H., Rabczuk, T., Nguyen-Thanh, N. et al. A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner–Mindlin plates. Comput Mech 46, 679–701 (2010). https://doi.org/10.1007/s00466-010-0509-x

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