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Refined plate elements for the analysis of composite plate using Carrera unified formulation

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Abstract

The analysis of a composite plate by refined plate theories is presented in this paper. The displacement fields of monolayer plate are expressed by means of Carrera unified formulation (CUF), and Taylor-like series expansion is employed along the thickness direction. The governing differential equation of monolayer plate is derived by Hamilton's principle, and the related element stiffness matrix, mass matrix, and load vector are obtained. The element matrix of composite plate is obtained by superimposing single-layer plate elements, and the global matrix is obtained in the finite element framework. Due to the shear locking phenomenon of thin plate, the higher-order model is revised by tensor component mixed interpolation (MITC). The accuracy and reliability of the present model are demonstrated by comparing with classical plate model (classical plate theory and first-order shear deformation theory) and a solid model generated in the commercial software ANSYS. Meanwhile, the geometric parameter optimization of composite plate is studied based on the constructed higher-order model by the multi-objective genetic algorithm.

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Acknowledgements

This work was supported by a project supported by the Natural Science Research of Anhui University (KJ2020A0285), a project supported by the National Key Research and Development Program (2020YFB1314103), a project supported by the National Key Research and Development Program (2020YFB1314203), and a project supported by Anhui Province Key Research and Development Program (202004a07020043).

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Authors and Affiliations

  1. School of Mechanical Engineering, Anhui University of Science and Technology, Huainan, 232001, China

    Teng Wenxiang, Liu Pengyu, Shen Gang, Hu Kun, He Jipeng & Wang Cheng

  2. State Key Laboratory of Mining Response and Disaster Prevention and Control in Deep Coal Mines, Anhui University of Science and Technology, Huainan, 232001, China

    Teng Wenxiang, Liu Pengyu, Shen Gang, Hu Kun, He Jipeng & Wang Cheng

  3. Mining Intelligent Technology and Equipment Provinces and Ministries Jointly Build a Collaborative Innovation Center, Anhui University of Science and Technology, Huainan, 232001, China

    Teng Wenxiang, Shen Gang & Hu Kun

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  1. Teng Wenxiang
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Correspondence to Liu Pengyu.

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Wenxiang, T., Pengyu, L., Gang, S. et al. Refined plate elements for the analysis of composite plate using Carrera unified formulation. Acta Mech 234, 3801–3820 (2023). https://doi.org/10.1007/s00707-023-03594-3

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  • DOI: https://doi.org/10.1007/s00707-023-03594-3

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