Abstract
Auxetic materials have unique properties which still require further evaluation. One of the least researched topics in terms of auxetics is their fatigue strength. In this article, high-cycle fatigue life of auxetic re-entrant structure unit cell was calculated using Finite Element Analysis. A fully reversed cycle consisting of alternating compressive and tensile loads was applied. Also, stress-life data had to be defined as approximated Wohler’s curve. Result in form of cycles to failure contour plot was compared with corresponding contour plot obtained for regular hexagonal honeycomb lattice unit cell. It was observed that re-entrant cell has significantly higher fatigue strength than non-auxetic honeycomb cell. The test was also carried out for the models of the structure made of array of unit cells. Their results confirmed the previous observations which bring the conclusion that auxetic materials exhibit superior fatigue life properties compared with regular microstructures.
Keywords
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Lim, T.C.: Auxetic Materials and Structures. Springer, Singapore (2015)
Wormser, M., Warmuth, F., Korner, C.: Evolution of full phononic band gaps in periodic cellular structures. Appl. Phys. A 123, 661 (2017)
Adler, L., Warmuth, F., Lodes, M.A., Osmanlic, F., Korner, C.: The effect of a negative Poisson’s ratio on thermal stresses in cellular metallic structures. Smart Mater. Struct. 25(11), 115038 (2016)
Novak, N., Hokamoto, K., Vesenjak, M., Ren, Z.: Mechanical behavior of auxetic cellular structures built from inverted tetrapods at high strain rates. Int. J. Impact Eng. 122, 83–90 (2018)
Ren, X., Das, R., Tran, P., Ngo, T.D., Xie, Y.M.: Auxetic metamaterials and structures: a review. Smart Mater. Struct. 27(2), 023001 (2018)
Bauer, J., Meza, L.R., Schaedler, T.A., Schwaiger, R., Zheng, X., Valdevit, L.: Nanolattices: an emerging class of mechanical metamaterials. Adv. Mater. 29(40), 1701850 (2017)
Yang, C., Vora, H.D., Chang, Y.: Behavior of auxetic structures under compression and impact forces. Smart Mater. Struct. 27(2), 025012 (2018)
Duncan, O., Shepherd, T., Moroney, C., Foster, L., Venkatraman, P.D., Winwood, K., Allen, T., Alderson, A.: Review of auxetic materials for sports applications: expanding options in comfort and protection. Appl. Sci. 8(6), 941 (2018)
Jopek, H., Stręk, T.: Thermoauxetic behavior of composite structures. Materials 11(2), 294 (2018)
Strek, T., Jopek, H., Nienartowicz, M.: Dynamic response of sandwich panels with auxetic cores. Physica Status Solidi B (b) 252(7), 1540–1550 (2015)
Strek, T., Jopek, H., Idczak, E., Wojciechowski, K.W.: Computational modelling of structures with non-intuitive behaviour. Materials 10(12), 1386 (2017)
Pozniak, A., Kaminski, H., Kedziora, P., Maruszewski, B., Strek, T., Wojciechowski, K.W.: Anomalous deformation of constrained auxetic square. Rev. Adv. Mater. Sci. 23(2), 169–174 (2010)
Bezazi, A., Scarpa, F.: Mechanical behavior of conventional and negative Poisson’s ratio thermoplastic foams under compressive cyclic loading. Int. J. Fatigue 29(5), 922–930 (2007)
Lisiecki, J., Nowakowski, D., Reymer, P.: Fatigue properties of polyurethane foams, with special emphasis on auxetic foams, used for helicopter pilot seat cushion inserts. Fatigue Aircraft Struct. 1(6), 72–78 (2014)
Michalski, J., Strek, T.: Fatigue life of polymer dental crown. Vibr. Phys. Syst. 29, 2018010 (2018)
Brancheau, J.E.: Practical Aspects of Finite Element Simulation. A Study Guide. Altair Engineering, Troy (2015)
Gokhale, N.S., Deshpande, S.S., Bedekar, S.V., Thite, A.N.: Practical Finite Element Analysis. Finite to Infinite, Pune (2008)
Suresh, S.: Fatigue of Materials. Cambridge University Press, Cambridge (1998)
Fe-safe User Manual, Volume 2 – Fatigue Theory Reference Manual, Simulia
Yang, L., Harrysson, O., West, H.: Modeling of uniaxial compression in a 3D periodic re-entrant lattice structure. J. Mater. Sci. 48(4), 1413–1422 (2013)
Abdelaal, O.A.M., Darwish, S.M.H.: Analysis, fabrication and a biomedical application of auxetic cellular structures. Int. J. Eng. Innovative Technol. 2(3), 218–223 (2012)
Hou, Y., Tai, Y.H., Lira, C., Scarpa, F., Yates, J.R., Gu, B.: The bending and failure of sandwich structures with auxetic gradient cellular cores. Compos. A Appl. Sci. Manuf. 49, 119–131 (2013)
Lira, C., Scarpa, F.: Transverse shear stiffness of thickness gradient honeycombs. Compos. Sci. Technol. 70(6), 930–936 (2010)
Boldrin, L., Hummel, S., Scarpa, F., Di Maio, D., Lira, C., Ruzzene, M., Remilat, C.D.L., Lim, T.C., Rajaserakan, R., Patsias, S.: Dynamic behavior of auxetic gradient composite hexagonal honeycombs. Compos. Struct. 149, 114–124 (2016)
The life of the fork crown on a bicycle suspension. https://knowledge.autodesk.com/support/nastran-in-cad/getting-started/caas/CloudHelp/cloudhelp/2017/ENU/NINCAD-ES-Videos/files/GUID-18B239D7-697B-4481-8332-1BB6AB6A4D71-htm.html
Acknowledgments
This work was supported by grants of the Ministry of Science and Higher Education in Poland: 02/21/DS PB/3513/2018. The simulations have been carried out at the Institute of Applied Mechanics, Poznan University of Technology.
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Michalski, J., Strek, T. (2019). Fatigue Life of Auxetic Re-entrant Honeycomb Structure. In: Gapiński, B., Szostak, M., Ivanov, V. (eds) Advances in Manufacturing II. MANUFACTURING 2019. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-16943-5_5
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