ESTONIAN ACADEMY
PUBLISHERS
eesti teaduste
akadeemia kirjastus
PUBLISHED
SINCE 1952
 
Proceeding cover
proceedings
of the estonian academy of sciences
ISSN 1736-7530 (Electronic)
ISSN 1736-6046 (Print)
Impact Factor (2022): 0.9
Research article
Investigation of static behavior of functionally graded porous sandwich beams with TPMS core; pp. 109–114
PDF | https://doi.org/10.3176/proc.2025.2.04

Authors
Caner Solar, Pinar Aydan Demirhan, Vedat Taskin
Abstract

Functionally graded materials (FGMs) are innovative structures created by combining the properties of different materials. Functionally graded porous materials (FGPMs) are materials in which the size, shape, distribution, and density of pores change gradually in a specific direction, providing lightness and high energy absorption. Triply periodic minimal surface (TPMS) structures, especially when used in the inner layers, optimize load distribution and energy absorption characteristics. In this study, bending analyses of a simply supported functionally graded porous sandwich beam were performed. The surface layers of the beam consist of an isotropic material, while the core layer is made of a functionally graded TPMS structure. In this study, it is assumed that the material properties of the functionally graded porous surface and core layers vary according to the force law distribution along the thickness. The equations of motion of the beam were derived using Hamilton’s principle. Solutions were obtained in closed form using the Navier method. Numerical results were obtained by varying the density and the volume fraction index, the thickness-to-length ratio, and the thickness ratios of the core and surface layers.

References

Al-Ketan, O., Abu Al-Rub, R. K. 2021. MSLattice: a free software for generating uniform and graded lattices based on triply periodic minimal surfaces. Mat. Design Process. Comm., 3(6), e205. 
https://doi.org/10.1002/mdp2.205

Demirhan, P. A. and Taskin, V. 2019. Bending and free vibration analysis of Levy-type porous functionally graded plate using state space approach. Compos. B: Eng.160, 661–676. 
https://doi.org/10.1016/j.compositesb.2018.12.020

Ejeh, C. J., Barsoum, I. and Abu Al-Rub, R. K. 2022. Flexural properties of functionally graded additively manufactured AlSi10Mg TPMS latticed-beams. Int. J. Mech. Sci.223, 107293. 
https://doi.org/10.1016/j.ijmecsci.2022.107293

Kurup, M. and Pitchaimani, J. 2023. Aeroelastic flutter of triply periodic minimal surface (TPMS) beams. Compos. C: Open Access10, 100349. 
https://doi.org/10.1016/j.jcomc.2023.100349

Lin, C., Wen, G., Yin, H., Wang, Z.-P., Liu, J. and Xie, Y. M. 2022. Revealing the sound insulation capacities of TPMS sandwich panels. J. Sound Vib.540, 117303. 
https://doi.org/10.1016/j.jsv.2022.117303

Nguyen-Xuan, H., Tran, K. Q., Thai, C. H. and Lee, J. 2023. Modelling of functionally graded triply periodic minimal surface (FG-TPMS) plates. Compos. Struct.315, 116981. 
https://doi.org/10.1016/j.compstruct.2023.116981

Qiu, N., Ding, Y., Guo, J. and Fang, J. 2025. Energy dissipation of sand-filled TPMS lattices under cyclic loading. Thin–Walled Struct.209, 112848. 
https://doi.org/10.1016/j.tws.2024.112848

Tran, K. Q., Hoang, T.-D., Lee, J. and Nguyen-Xuan, H. 2024. Three novel computational modeling frameworks of 3D-printed grap­hene platelets reinforced functionally graded triply periodic minimal surface (GPLR-FG-TPMS) plates. Appl. Math. Model.126, 667–697. 
https://doi.org/10.1016/j.apm.2023.10.043  

Viet, N. V., Karathanasopoulos, N. and Zaki, W. 2022. Mechanical attributes and wave propagation characteristics of TPMS lattice structures. Mech. Mater.172, 104363. 
https://doi.org/10.1016/j.mechmat.2022.104363

Back to Issue