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Static flexural analysis of sandwich beam with functionally graded face sheets and porous core via point interpolation meshfree method based on polynomial basic function

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Abstract

A point interpolation meshfree method based on polynomial basic function is employed to analyze static behavior of sandwich beams with functionally graded face sheets and porous core whose mechanical properties vary continuously in the depth-direction. Transverse shear deformation is taken into account with the context of third-order beam theory which satisfies the vanishing of shear stress at the top and bottom surfaces. The equilibrium equations are derived from the principle of virtual work. Polynomial basic function is employed to construct shape functions and approximate the displacement field of computational domain. The accuracy of the computational method is confirmed by comparisons of computed results with those available in the literature. The convergence rate and effect of nodal distribution on the accuracy are examined in details. Numerical examples are performed to investigate the effects of span-to-height ratio, face sheet-core-face sheet thickness ratio, material volume fraction index, porosity coefficient, as well as different boundary conditions on transverse displacement, axial and shear stresses of the beams.

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Acknowledgements

This work was supported by the University of Da Nang, University of Science and Technology, code number of Project: T2020-02-44.

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Authors and Affiliations

  1. Faculty of Civil Engineering, The University of Da Nang, 54 Nguyen Luong Bang, Da Nang, Vietnam

    Truong Hoai Chinh, Do Minh Duc & Tran Quang Hung

  2. National University of Civil Engineering, 55 Giai Phong Road, Hanoi, Vietnam

    Tran Minh Tu

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  1. Truong Hoai Chinh
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Chinh, T.H., Tu, T.M., Duc, D.M. et al. Static flexural analysis of sandwich beam with functionally graded face sheets and porous core via point interpolation meshfree method based on polynomial basic function. Arch Appl Mech 91, 933–947 (2021). https://doi.org/10.1007/s00419-020-01797-x

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