Amirkabir Journal of Mechanical Engineering

Amirkabir Journal of Mechanical Engineering

Low-velocity Impact on Sandwich Beams with Two-Dimensional Curved Re-Entrant Auxetic Cores

Document Type : Research Article

Authors
Zahra Tahmasebi-Tahneh
Mehdi Ranjbar-Roeintan
Department of Mechanical Engineering, Kermanshah University of Technology, Kermanshah, Iran
10.22060/mej.2025.24695.7895
Abstract
This research investigates the low-velocity impact on sandwich beams with 2D curved reentrant auxetic cores. Using a 3D printer, tensile test specimens are fabricated and their mechanical properties are extracted. In addition, using a 3D printer, sandwich beam specimens with 2D curved reentrant auxetic cores are fabricated, consisting of curved unit cells at angles of 30, 45, and 60 degrees. Three-point bending and drop-weight impact tests are performed on the specimens. Polylactic acid is used as the material for the beams. The findings from the three-point bending test show that increasing the internal angle of the curved unit cell corresponds to decreasing the slope of the linear portion of the graph and the amplitude of the applied bending force. The impact response history includes factors such as contact force, absorbed energy, impactor velocity, impactor displacement, and displacement of sandwich beams with 2D curved reentrant auxetic cores when subjected to a 3 J drop-weight impact test. Also, Poisson's ratio and relative density of 2D curved reentrant auxetic unit cells with angles of 30, 45, and 60 degrees are obtained. One of the important findings of the impact test is that in order to maximize energy absorption, sandwich beams with 2D curved reentrant auxetic cores with unit cells of 30 degrees angle perform best compared to other angles.
Keywords
Auxetic Materials
Curved Unit Cell
Three-Point Bending Test
Drop-Weight Impact Test
Absorbed Energy
Subjects
[1] V.G. Veselago, The electrodynamics of substances with simultaneously negative values of ε and μ, Phys.-Usp., 10(4) (1968) 509-514.
[2] K. Parveen, Metamaterials: Types, applications, development, and future scope, Int.. J. Adv. Res. Innov. Ideas Educ. Tech., 4(3) (2018) 2325-2327.
[3] M.I. Hussein, M.J. Leamy, M. Ruzzene, Dynamics of phononic materials and structures: Historical origins, recent progress, and future outlook, Appl. Mech. Rev., 66(4) (2014) 040802.
[4] R. Kumar, M. Kumar, J.S. Chohan, S. Kumar, Overview on metamaterial: History, types and applications, Mater. Today: Proc., 56 (2022) 3016-3024.
[5] J.U. Surjadi, L. Gao, H. Du, X. Li, X. Xiong, N.X. Fang, Y. Lu, Mechanical metamaterials and their engineering applications, Adv. Eng. Mater., 21(3) (2019) 1800864.
[6] Y. Fung, Foundations of solid mechanics Prentice-Hall, Inc, New Jersey,  (1965).
[7] T. Ting, T. Chen, Poisson's ratio for anisotropic elastic materials can have no bounds, Q. J. Mech. Appl. Math., 58(1) (2005) 73-82.
[8] K.K. Saxena, R. Das, E.P. Calius, Three decades of auxetics research− materials with negative Poisson's ratio: a review, Adv. Eng. Mater., 18(11) (2016) 1847-1870.
[9] M. Kazemi, A.M. Eghbalpoor, Types and application of auxetic cells: A review, Mech. Adv. Mater. Struc.,  (2024) 1-23. doi:10.1080/15376494.2024.2433092
[10] R. Lakes, Foam structures with a negative Poisson's ratio, Sci., 235(4792) (1987) 1038-1040.
[11] K.E. Evans, Auxetic polymers: a new range of materials, Endeavour, 15(4) (1991) 170-174.
[12] T. Allen, J. Shepherd, T. Hewage, T. Senior, L. Foster, A. Alderson, Low‐kinetic energy impact response of auxetic and conventional open‐cell polyurethane foams, Phys. Status Solidi B, 252(7) (2015) 1631-1639.
[13] O. Duncan, L. Foster, T. Senior, A. Alderson, T. Allen, Quasi-static characterisation and impact testing of auxetic foam for sports safety applications, Smart Mater. Struct., 25(5) (2016) 054014.
[14] L. Jiang, H. Hu, Finite element modeling of multilayer orthogonal auxetic composites under low-velocity impact, Mater., 10(8) (2017) 908.
[15] S. Yang, V.B. Chalivendra, Y.K. Kim, Fracture and impact characterization of novel auxetic Kevlar®/Epoxy laminated composites, Compos. Struct., 168 (2017) 120-129.
[16] S. Hou, T. Li, Z. Jia, L. Wang, Mechanical properties of sandwich composites with 3d-printed auxetic and non-auxetic lattice cores under low velocity impact, Mater. Des., 160 (2018) 1305-1321.
[17] W. Lee, Y. Jeong, J. Yoo, H. Huh, S.-J. Park, S.H. Park, J. Yoon, Effect of auxetic structures on crash behavior of cylindrical tube, Compos. Struct., 208 (2019) 836-846.
[18] Q. Gao, W.-H. Liao, L. Wang, On the low-velocity impact responses of auxetic double arrowed honeycomb, Aerosp. Sci. Technol., 98 (2020) 105698.
[19] C. Li, H.-S. Shen, J. Yang, H. Wang, Low-velocity impact response of sandwich plates with GRC face sheets and FG auxetic 3D lattice cores, Eng. Anal. Bound. Elem., 132 (2021) 335-344.
[20] L. Wang, J. Sun, T. Ding, Y. Liang, J. Ho, M. Lai, Manufacture and behaviour of innovative 3D printed auxetic composite panels subjected to low-velocity impact load, Struct., 38 (2022) 910-933.
[21] M. Kazemi, Experimental analysis of sandwich composite beams under three-point bending with an emphasis on the layering effects of foam core, Struct., 29 (2021) 383-391.
[22] W.-J. Wang, W.-M. Zhang, M.-F. Guo, J.-S. Yang, L. Ma, Energy absorption characteristics of a lightweight auxetic honeycomb under low-velocity impact loading, Thin-Walled Struct., 185 (2023) 110577.
[23] H. Peyghani, M. Ranjbar-Roeintan, Low-velocity impact on a CFRP sandwich plate with a reentrant auxetic core, Mech. Adv. Mater. Struc.,  (2024) 1-16. doi:10.1080/15376494.2024.2420258
[24] Y.C. Qu, X.C. Teng, Y. Zhang, W.Z. Jiang, M.L. Xue, T. Xue, J.W. Shi, X. Ren, A novel 3D composite auxetic sandwich panel for energy absorption improvement, Eng. Struct., 322 (2025) 119129.
[25] M. Kazemi, A. Mirzabigi, Influence of Core Density and Thickness on the Behavior of Sandwich Beams under Three-Point Bending: Analytical and Experimental, Teh. Vjesn., 30(6) (2023) 1992-2000.
[26] B. Taherkhani, A. Pourkamali Anaraki, J. Kadkhodapour, Fabrication and testing of re-entrant auxetic samples and sensor: numerically and experimentally, Amirkabir J. Mech. Eng., 53(6 (Special Issue)) (2021) 3987-4008. (in Persian)
[27] R. Jafari Nedoushan, M.J. Abghary, Design and analysis of mechanical behavior of a novel lattice auxetic structure based on rigid rotating mechanism, Amirkabir J. Mech. Eng., 55(2) (2023) 179-192. (in Persian)
[28] M. Ranjbar, S. Feli, Mechanical and low-velocity impact properties of epoxy-composite beams reinforced by MWCNTs, J. Compos. Mater., 53(5) (2019) 693-705.
Amirkabir Journal of Mechanical Engineering
Volume 57, Issue 6
2025
Pages 757-772