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A refined sin hyperbolic shear deformation theory for sandwich FG plates by enhanced meshfree with new correlation function

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Abstract

The moving Kriging interpolation-based (MKI) meshfree method is extended to mechanical behavior analysis of isotropic and sandwich functionally graded material plates. The MKI meshfree method, which is free of shear correction factors effect in plate analysis, is further enhanced by introducing a new multi-quadric correlation function, eliminating drawbacks of its conventional form, gaining accurate solution. In this paper, a new refined sin hyperbolic shear deformation plate theory (N-RSHSDT) is introduced for plate kinematics. The present theory gives rise to four governing equations only, and achieves the sin hyperbolic distribution of the transverse shear strains through the plate thickness. To show the accuracy and effectiveness of the developed method, numerical experiments are performed for both isotropic and sandwich composite plates.

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Acknowledgements

Tan-Van Vu would like to acknowledge the financial support of the University of Architecture Ho Chi Minh City, Vietnam under Grant No.152/HD-NCKH.

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Authors and Affiliations

  1. Department of Civil Engineering, University of Architecture Ho Chi Minh City, 196 Pasteur, District 3, Ho Chi Minh City, 70000, Vietnam

    Tan-Van Vu

  2. Department of Mechanical Engineering, University of Sheffield, Sir Frederick Mappin, Mappin St, Sheffield, UK

    Jose L. Curiel-Sosa

  3. Institute for Research and Development, Duy Tan University, Da Nang City, Vietnam

    Tinh Quoc Bui

  4. Department of Civil and Environmental Engineering, Tokyo Institute of Technology, 2-12-1-W8-22, Ookayama, Meguro-ku, Tokyo, 152-8552, Japan

    Tinh Quoc Bui

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  1. Tan-Van Vu
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  2. Jose L. Curiel-Sosa
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  3. Tinh Quoc Bui
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Correspondence to Tan-Van Vu or Tinh Quoc Bui.

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Vu, TV., Curiel-Sosa, J.L. & Bui, T.Q. A refined sin hyperbolic shear deformation theory for sandwich FG plates by enhanced meshfree with new correlation function. Int J Mech Mater Des 15, 647–669 (2019). https://doi.org/10.1007/s10999-018-9430-9

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  • DOI: https://doi.org/10.1007/s10999-018-9430-9

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