Abstract
This study presents an evaluation of the mechanical behaviour of low porosity, ductile auxetic structures.
Using time-averaged speckle interferometry and a specific experimental set-up, the eigenmodes and displacement fields of three low-porosity metallic auxetic samples were assessed and compared with the numerical simulations obtained using the commercial software Abaqus/Standard (Simulia Providence, RI).
Guided by the finite element predictions, the eigenmode analysis was carried out by vibrating the specimens—each characterized by a different pore geometry—from 100 Hz to about 10 kHz analysing the structural response. A good agreement between the numerical calculations and the experimental results was found. This study not only validates the numerical-experimental approach used to analyse materials, but also to open a way to test and validate the performances of negative Poisson’s ratio structures and meta-materials in general applications.
Furthermore, the findings of this work provides a new convincing and reliable experimental data, enlarge the knowledge about the elastic instabilities in metallic auxetic structures, supporting their use in critical applications.
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References
Evans, K.E., Alderson, A.: Auxetic materials: functional materials and structures from lateral thinking. Adv. Mater. 12(9), 617–628 (2000)
Alderson, A., Alderson, K.L.: Auxetic materials. Proc. Inst. Mech. Eng. Part G J. Aerosp. Eng. 221(4), 565–575 (2007)
Lakes, R.: Advances in negative Poisson’s ratio materials. Adv. Mater. 5, 293–296 (1993)
Prawoto, Y.: Seeing auxetic materials from the mechanics point of view: a structural review on the negative Poisson’s ratio. Comput. Mater. Sci. 58, 140–153 (2012)
Sanami, M., Ravirala, N., Alderson, K., Alderson, A.: Auxetic materials for sports applications. Procedia Eng. 72, 453–458 (2014)
Bertoldi, K., Reis, P.M., Willshaw, S., Mullin, T.: Negative Poisson’s ratio behaviour induced by an elastic instability. Adv. Mater. 22, 361–366 (2010)
Lehmann, M.: Statistical theory of two-wave speckle interferometry and its application to the optimization of deformation measurements. PhD Thesis, Ecole Polytechnique Federal de Lausanne (1998)
Taylor, M., Francesconi, L., Gerendas, M., Shanian, A., Carson, C., Bertoldi, K.: Low porosity metallic periodic structures with negative Poisson’s ratio. Adv. Mater. 26(15), 2365–2370 (2014)
Jacquot, P.: Speckle interferometry: a review of the principal methods in use for experimental mechanics applications. Strain 44, 57–69 (2008)
Baldi, A., Jacquot, P.: Data analysis of speckle interferometry measurements for residual stress determination in composite specimen. In: Proceedings of ICEM12—12th International Conference on Experimental Mechanics (2012)
Hariharan, P., Oreb, B.F., Eiju, T.: Digital phase-shifting interferometry: a simple error-compensating phase calculation algorithm. Appl. Optics 26(13), 2504–2506 (1987)
Tiziani, H.J., Klenk, J.: Vibration analysis by speckle techniques in real time. Appl. Optics 20(8), 1467–1470 (1981)
Romero, G., Alvarez, L., Alanis, E., Nallim, L., Grossi, R.: Study of a vibrating plate: comparison between experimental (ESPI) and analytical results. Opt. Lasers Eng. 40, 81–90 (2003)
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Francesconi, L., Taylor, M., Bertoldi, K., Baldi, A. (2017). Numerical and Experimental Eigenmode Analysis of Low Porosity Auxetic Structures. In: Yoshida, S., Lamberti, L., Sciammarella, C. (eds) Advancement of Optical Methods in Experimental Mechanics, Volume 3. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-41600-7_42
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DOI: https://doi.org/10.1007/978-3-319-41600-7_42
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