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A meshfree orthotropic laminated shell model for geometrically nonlinear static and dynamic analysis

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Abstract

A meshfree orthotropic laminated shell model for geometrically nonlinear static and dynamic analysis based on the reproducing kernel particle method (RKPM) and the Mindlin-Reissner shell theory is proposed for the first time, suitable for dealing with the finite deformation of composite shell structures of arbitrary geometry in engineering. The Mindlin-Reissner shell theory is adopted to describe the geometric configuration of the laminated shells via a single-layer particle. Then, the Galerkin weak form governing equations are established explicitly and discretized using RKPM and linear transformation in the thickness direction. Furthermore, a laminate stacking sequence that can eliminate the coupling terms of linear and angular acceleration is proposed for simplification. For considering the orthotropic materials, the stress–strain transformation between local and material coordinates is introduced. A stiffened laminated shell model is also presented for simulating complex composited structures. The accuracy and convergence of the proposed laminated shell model are verified through several static and dynamic benchmarks, demonstrating the ability of the presented model to solve the nonlinear response of composite structures.

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Acknowledgements

The authors thank the National Natural Science Foundation of China (52088102, 51925904) for their support.

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Authors and Affiliations

  1. College of Shipbuilding Engineering, Harbin Engineering University, Harbin, 150001, China

    Bing Xue, A-Man Zhang & Qi Zhang

  2. School of Ocean Engineering and Technology, Sun Yat-Sen University and Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai), Zhuhai, 519000, China

    Yu-Xiang Peng

  3. Department of Civil and Environmental Engineering, University of California, Berkeley, CA, 94720, USA

    Shaofan Li

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  1. Bing Xue
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  4. Qi Zhang
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Correspondence to A-Man Zhang.

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Xue, B., Zhang, AM., Peng, YX. et al. A meshfree orthotropic laminated shell model for geometrically nonlinear static and dynamic analysis. Comput Mech 73, 1033–1051 (2024). https://doi.org/10.1007/s00466-023-02399-4

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