Geometrically nonlinear bending mesh-free analysis of functionally graded porous sandwich beam

https://doi.org/10.31130/ud-jst.2023.091E

##plugins.themes.academic_pro.article.main##

Author

  • Tran Quang Hung
    The University of Danang - University of Science and Technology, Danang, Vietnam
    Tran Minh Tu
    Hanoi University of Civil Engineering, Hanoi, Vietnam
    Do Minh Duc
    The University of Danang - University of Science and Technology, Danang, Vietnam

Từ khóa:

Geometrically nonlinear bending
functionally graded materials
porous material
porous sandwich beam
mesh-free analysis

Tóm tắt

In this work, geometrically nonlinear static bending analysis of sandwich beams with a porous core and two skins made of functionally graded materials using a mesh-free method is presented. The material types of the core and face sheets of the beam are chosen so that the material continuity between the layers is guaranteed. The nonlinear governing equation including geometric nonlinearity is established via the principle of virtual work. This equation is discretized into a system of algebraic equations by the mesh-free approach, which is based on the C1 point interpolation method and polynomial basis functions, and then solved by the direct iterative method. The convergence of the mesh-free method is tested to determine the sufficient mesh level for the analysis. Comparative and comprehensive studies are performed to investigate both the correctness and the influences of several important parameters and boundary conditions on the linear and nonlinear deflections of the beam.

Tài liệu tham khảo

    [1] Mu and G. Zhao, "Fundamental Frequency Analysis of Sandwich Beams with Functionally Graded Face and Metallic Foam Core”, Shock and Vibration, vol. 2016, p. 3287645, 2016.
    [2] Wang, A. Zhou, T. Fu, and W. Zhang, "Transient response of a sandwich beam with functionally graded porous core traversed by a non-uniformly distributed moving mass”, International Journal of Mechanics and Materials in Design, vol. 16, no. 3, pp. 519-540, 2020.
    [3] H. Chinh, T. M. Tu, D. M. Duc, and T. Q. Hung, "Static flexural analysis of sandwich beam with functionally graded face sheets and porous core via point interpolation meshfree method based on polynomial basic function”, Archive of Applied Mechanics,vol. 91, pp. 933-947, 2021.
    [4] X. Hung and H. Q. Truong, "Free vibration analysis of sandwich beams with FG porous core and FGM faces resting on Winkler elastic foundation by various shear deformation theories”, Journal of Science Technology in Civil Engineering NUCE, vol. 12, no. 3 pp. 23-33, 2018,.
    [5] Q. Hung and T. M. Tu, "Free vibration of piezoelectric FGM sandwich beam with porous core embedded in thermal environment and elastic foundation”, Journal of Science and Technology in Civil Engineering (STCE)-HUCE, vol. 15, no. 4, pp. 15-28, 2021.
    [6] Q. Hung, D. M. Duc, and T. M. Tu, "Static Behavior of Functionally Graded Sandwich Beam with Fluid-Infiltrated Porous Core”, in Modern Mechanics and Applications: Springer, 2022, pp. 691-706.
    [7] Derikvand, F. Farhatnia, and D. H. Hodges, "Functionally graded thick sandwich beams with porous core: Buckling analysis via differential transform method”, Mechanics Based Design of Structures Machines, vol. 51, no. 7, pp. 3650-3677, 2021.
    [8] D. Duc, K. Seung-Eock, N. D. Khoa, and D. Q. Chan, "Nonlinear buckling and post-buckling analysis of shear deformable stiffened truncated conical sandwich shells with functionally graded face sheets and a functionally graded porous core”, Journal of Sandwich Structures & Materials, Vol. 23, no. 7, 2020.
    [9] V. Nguyen, H. Nguyen-Xuan, and J. Lee, "A quasi-three-dimensional isogeometric model for porous sandwich functionally graded plates reinforced with graphene nanoplatelets”, Journal of Sandwich Structures & Materials, Vol. 24, no. 2, 2021.
    [10] Lin, J. Li, Y. Guan, G. Zhao, H. Naceur, and D. Coutellier, "Geometrically nonlinear bending analysis of functionally graded beam with variable thickness by a meshless method”, Composite Structures, vol. 189, pp. 239-246, 2018.
    [11] Wang, H. Ma, K. Xie, T. Fu, J. Chen, and Y. Liu, "Nonlinear bending of a sandwich beam with metal foam and GPLRC face-sheets using Chebyshev–Ritz method: Effects of agglomeration and internal pore”, Thin-Walled Structures, vol. 181, 110035, 2022.
    [12] J. Salami, "Large deflection geometrically nonlinear bending of sandwich beams with flexible core and nanocomposite face sheets reinforced by nonuniformly distributed graphene platelets”, Journal of Sandwich Structures and Materials, vol. 22, no. 3, pp. 866-895, 2020.
    [13] Srikarun, W. Songsuwan, and N. Wattanasakulpong, "Linear and nonlinear static bending of sandwich beams with functionally graded porous core under different distributed loads”, Composite Structures, vol. 276, pp. 114538, 2021.
    [14] Feng, S. Kitipornchai, and J. Yang, "Nonlinear bending of polymer nanocomposite beams reinforced with non-uniformly distributed graphene platelets (GPLs)”, Composites Part B: Engineering, vol. 110, pp. 132-140, 2017.
    [15] Li, X. Li, and Y. Hu, "Nonlinear bending of a two-dimensionally functionally graded beam”, Composite Structures, vol. 184, pp. 1049-1061, 2018.
    [16] N. Reddy, S. El-Borgi, and J. Romanoff, "Non-linear analysis of functionally graded microbeams using Eringen׳ s non-local differential model”, International Journal of Non-Linear Mechanics, vol. 67, pp. 308-318, 2014.
    [17] -G. Zhang, "Nonlinear bending analysis of FGM beams based on physical neutral surface and high order shear deformation theory”, Composite Structures, vol. 100, pp. 121-126, 2013.
    [18] Q. Hung, D. M. Duc, and T. Minh Tu, "Static bending mesh-free analysis of smart piezoelectric porous beam reinforced with graphene platelets”, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 237, no. 7, 2022.
    [19] J. N. Reddy, An Introduction to Nonlinear Finite Element Analysis Second Edition: with applications to heat transfer, fluid mechanics, and solid mechanics. OUP Oxford, 2014.
Xem thêm

##plugins.themes.academic_pro.article.sidebar##

Đã Xuất bản

Jun 30, 2023
Download
PDF (English)
Cách trích dẫn
Hung, T. Q., T. M. Tu, và D. M. Duc. “Geometrically Nonlinear Bending Mesh-Free Analysis of Functionally Graded Porous Sandwich Beam”. Tạp Chí Khoa học Và Công nghệ - Đại học Đà Nẵng, vol 21, số p.h 6.1, Tháng Sáu 2023, tr 16-21, doi:10.31130/ud-jst.2023.091E.

##plugins.themes.academic_pro.article.details##