Finite Elements Modeling of Mechanical and Acoustic Properties of a Ceramic Metamaterial Assembled by Robocasting

Abstract:

Finite element modeling (FEM) was used for numerical simulations of mechanical performance of aperiodic silicon-carbide scaffold manufactured by robocasting. The FEM approach enabled reliable calculation of theeffective anisotropic elastic properties of the scaffold at the macro-scale, as well as of the acoustic band structureindicating the metamaterial-like behavior of the material at the micro-scale. In addition, the micromechanics of thescaffold was discussed based on the outputs of the model: the mechanisms of the extremely soft shearing modes wereidentified and the corresponding stress concentrations arising at the contact points in the scaffold were analyzedwith respect to the possible failure modes of the robocast structure.

• Periodical: Applied Mechanics and Materials (Volume 821)
• Pages: 364-371
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.821.364
• Online since: January 2016
• Authors: Alena Kruisová*, Hanuš S. Seiner, Petr Sedlák, Michal Landa, Benito Román-Manso, Pilar Miranzo, Manuel Belmonte
• Keywords: Anisotropy, Elasticity, Finite Element Method, Metamaterials

References

[1] J. Smay, G. Gratson, R. Shepherd, J. Cesarano, J. Lewis, Directed colloidal assembly of 3D periodic structures, Adv. Mater. 14 (2002) 1279-1283.

DOI: 10.1002/1521-4095(20020916)14:18<1279::aid-adma1279>3.0.co;2-a

[2] J.E. Smay, J.A. Lewis, Solid Free-Form Fabrication of 3-D Ceramic Structures, in: N.P. Bansal, A.R. Boccaccini (Eds. ), Ceramics and Composites Processing Methods, John Wiley and Sons, Hoboken, 2012, pp.459-484.

DOI: 10.1002/9781118176665.ch13

[3] K. Cai, B. Román-Manso, J.E. Smay, J. Zhou, M.I. Osendi, M. Belmonte, P. Miranzo, Geometrically Complex Silicon Carbide Structures Fabricated by Robocasting, J. Am. Ceram. Soc. 95 (2012) 2660-2666.

DOI: 10.1111/j.1551-2916.2012.05276.x

[4] B. Román-Manso, S.M. Vega-Díaz, A. Morelos-Goméz, M. Terrones, P. Miranzo, M. Belmonte, Aligned carbon nanotube/silicon carbide hybrid materials with high electrical conductivity, superhydrophobicity and superoleophilicity, Carbon 80 (2014).

DOI: 10.1016/j.carbon.2014.08.046

[5] P. Miranda, E. Saiz, K. Gryn, A.P. Tomsia, Sintering and robocasting of β−tricalcium phosphate scaffolds for orthopaedic applications, Acta Biomater. 2 (2006) 457-466.

DOI: 10.1016/j.actbio.2006.02.004

[6] A. Kruisová, H. Seiner, P. Sedlák, M. Landa, B. Román-Manso, P. Miranzo, M. Belmonte, Metamaterial behavior of three-dimensional periodic architectures assembled by robocasting, Appl. Phys. Letters 105 (2014) 211904.

DOI: 10.1063/1.4902810

[7] R.V. Craster, S. Guenneau, editors, Acoustic Metamaterials: Negative Refraction, Imaging, Lensing and Cloaking, Springer Series in Materials Science Vol. 166, Springer, London, (2013).

DOI: 10.1007/978-94-007-4813-2

[8] A. Briggs, Acoustic Microscopy, Claredon Press, Oxford, (1992).

[9] COMSOL multiphysics user's guide. Version 3. 5a; (2008).

[10] Xia, Z., Zhang, Y., Ellyin, F. A unified periodical boundary conditions for representative volume elements of composites and applications, Int. J. Solids Struct., 40 (2003), 1907-(1921).

DOI: 10.1016/s0020-7683(03)00024-6

[11] R.G. Leisure, F.A. Willis, Resonant Ultrasound Spectroscopy, J. Phys.: Condens. Matter 9 (1997) 6001-6029.

DOI: 10.1088/0953-8984/9/28/002

[12] P. Sedlák, H. Seiner, J. Zídek, M. Janovská, M. Landa. Determination of All 21 Independent Elastic Coefficients of Generally Anisotropic Solids by Resonant Ultrasound Spectroscopy: Benchmark Examples, Exp. Mech. 54 (2014) 1073-1085.

DOI: 10.1007/s11340-014-9862-6

[13] T.L. Anderson, Fracture Mechanics: Fundamentals and Applications, 3rd edition, Taylor & Francis CRC Press, Boca Raton, (2004).

[14] P. Miranda, A. Pajares, E. Saiz, A.P. Tomsia, F. Guiberteau, Fracture modes under uniaxial compression in hydroxyapatite scaffolds fabricated by robocasting, J. Biomed. Mater. Res. A 83 (2007) 646-655.

DOI: 10.1002/jbm.a.31272

[15] M. Genet, M. Houmard, S. Eslava, E. Saiz, A. P. Tomsia, A two-scale Weibull approach to the failure of porous ceramic structures made by robocasting: Possibilities and limits, J. Eur. Ceram. Soc. 33 (2013) 679-688.

DOI: 10.1016/j.jeurceramsoc.2013.01.014

[16] T. Koudelka, T. Krejčí, J. Kruis, Moderate Use of Object Oriented Programming for Scientific Computing, in B.H. V. Topping, J.M. Adam, F.J. Pallarés, R. Bru, M.L. Romero (Eds. ), Proceedings of the Seventh International Conference on Engineering Computational Technology, CivilComp Press, Stirlingshire, 2010, 68.

DOI: 10.4203/ccp.94.68

[17] E. Rohan, B. Miara, F. Seifrt, Numerical simulation of acoustic band gaps in homogenized elastic composites, Int. J. Eng. Sci. 47 (2009) 573-594.

DOI: 10.1016/j.ijengsci.2008.12.003

[18] V. P. Smyshlyaev, Propagation and localization of elastic waves in highly anisotropic periodic composites via two-scale homogenization, Mech. Mater. 41 (2009) 434-447.

DOI: 10.1016/j.mechmat.2009.01.009

[19] J.P. Wolfe, Imaging Phonons (Acoustic Wave Propagation in Solids), Cambridge University Press, Cambridge, (1998).