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A generalized unconstrained theory and isogeometric finite element analysis based on Bézier extraction for laminated composite plates

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Abstract

This work presents an isogeometric finite element formulation based on Bézier extraction of the non-uniform rational B-splines (NURBS) in combination with a generalized unconstrained higher-order shear deformation theory (UHSDT) for laminated composite plates. The proposed approach relaxes zero-shear stresses at the top and bottom surfaces of the plates and no shear correction factors are required. A weak form of static, free vibration and transient response analyses for laminated composite plates is then established and is numerically solved using isogeometric Bézier finite elements. NURBS can be written in terms of Bernstein polynomials and the Bézier extraction operator. IGA is implemented with the presence of C°-continuous Bézier elements which allow to easily incorporate into existing finite element codes without adding many changes as the former IGA. As a result, all computations can be performed based on the basis functions defined previously as the same way in finite element method (FEM). Numerical results performed over static, vibration and transient analysis show high efficiency of the present method.

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Acknowledgments

This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 107.02-2014.24.

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Authors and Affiliations

  1. Faculty of Civil Engineering and Applied Mechanics, HCMC University of Technology and Education, Ho Chi Minh City, Vietnam

    Lieu B. Nguyen

  2. Division of Computational Mechanics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Chien H. Thai

  3. Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Chien H. Thai

  4. Duy Tan University, Da Nang, Vietnam

    H. Nguyen-Xuan

  5. Department of Architectural Engineering, Sejong University, 98 Kunja Dong, Kwangjin Ku, Seoul, 143-747, South Korea

    H. Nguyen-Xuan

Authors
  1. Lieu B. Nguyen
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  2. Chien H. Thai
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  3. H. Nguyen-Xuan
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Correspondence to H. Nguyen-Xuan.

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Nguyen, L.B., Thai, C.H. & Nguyen-Xuan, H. A generalized unconstrained theory and isogeometric finite element analysis based on Bézier extraction for laminated composite plates. Engineering with Computers 32, 457–475 (2016). https://doi.org/10.1007/s00366-015-0426-x

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  • DOI: https://doi.org/10.1007/s00366-015-0426-x

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