Investigation on Homogeneous Modeling of Gyroid Lattice Structures: Numerical Study in Static and Dynamic Conditions

Abstract:

The TPMS (triply periodic minimal surface) are receiving great attention for production of open cell scaffold structures, for example in biomedical applications. In this paper stretch-dominated lattice structures have been considered. The Gyroid cell made of epoxy resin by DLP technology was analyzed. The compression test results in quasi-static (10^-3 s^-1) and dynamic (4x10² s^-1) conditions have been used to compute the macroscopic cellular material properties by the homogenization methods. Finally, in order to evaluate the behaviour of the unit cell under multi-axial stress state, combined shear-compression tests have been carried out as well.

• Periodical: Key Engineering Materials (Volume 926)
• Pages: 2119-2126
• DOI: https://doi.org/10.4028/p-3561q0
• Online since: July 2022
• Authors: Edoardo Mancini*, Mattia Utzeri, Marco Sasso
• Keywords: Additive Manufacturing, Gyroid, Homogeneous Material, Lattice Structure

References

[1] H. Shoen, Alan, Infinite Periodic Minimal Surface without Intersections, NASA. (1970).

[2] D. Li, W. Liao, N. Dai, Y.M. Xie, Absorption of Sheet-Based and Strut-Based Gyroid, Materials (Basel). (2019).

[3] E. Mancini, M. Utzeri, E. Farotti, M. Sasso, Model Calibration of 3D Printed Lattice Structures, ESAFORM 2021. 24th International Conference on Material Forming, Liège, Belgique. 16 (2021) 1–13.

DOI: 10.25518/esaform21.4154

[4] D.W. Abueidda, M. Bakir, R.K. Abu Al-Rub, J.S. Bergström, N.A. Sobh, I. Jasiuk, Mechanical properties of 3D printed polymeric cellular materials with triply periodic minimal surface architectures, Mater. Des. 122 (2017) 255–267. https://doi.org/10.1016/j.matdes.2017.03.018.

DOI: 10.1016/j.matdes.2017.03.018

[5] M. Smith, Z. Guan, W.J. Cantwell, Finite element modelling of the compressive response of lattice structures manufactured using the selective laser melting technique, Int. J. Mech. Sci. 67 (2013) 28–41. https://doi.org/10.1016/j.ijmecsci.2012.12.004.

DOI: 10.1016/j.ijmecsci.2012.12.004

[6] G. Dong, Y. Tang, Y.F. Zhao, A 149 Line Homogenization Code for Three-Dimensional Cellular Materials Written in MATLAB, J. Eng. Mater. Technol. Trans. ASME. 141 (2019). https://doi.org/10.1115/1.4040555.

DOI: 10.1115/1.4040555

[7] Z. Xia, Y. Zhang, F. Ellyin, A unified periodical boundary conditions for representative volume elements of composites and applications, Int. J. Solids Struct. 40 (2003) 1907–1921. https://doi.org/10.1016/S0020-7683(03)00024-6.

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

[8] O.E. Kadri, C. Williams, V. Sikavitsas, R.S. Voronov, Numerical accuracy comparison of two boundary conditions commonly used to approximate shear stress distributions in tissue engineering scaffolds cultured under flow perfusion, Int. j. Numer. Method. Biomed. Eng. 34 (2018) 1–15. https://doi.org/10.1002/cnm.3132.

DOI: 10.1002/cnm.3132

[9] H. Kolsky, An Investigation of the Mechanical Properties of Materials at very High Rates of Loading, Proc. Phys. Soc. Sect. B. 62 (1949) 676–700. https://doi.org/https://doi.org/10.1088 /0370-1301/62/11/302.

DOI: 10.1088/0370-1301/62/11/302

[10] E. Mancini, M. Sasso, M. Rossi, G. Chiappini, G. Newaz, D. Amodio, Design of an Innovative System for Wave Generation in Direct Tension–Compression Split Hopkinson Bar, J. Dyn. Behav. Mater. 1 (2015) 201–213. https://doi.org/10.1007/s40870-015-0019-1.

DOI: 10.1007/s40870-015-0019-1

[11] C.M. Zener, S. Siegel, Elasticity and Anelasticity of Metals, J. Phys. Colloid Chem. 53 (1949) 1468–1468. https://doi.org/10.1021/j150474a017.

DOI: 10.1021/j150474a017