journal article·2021-06

Numerical and theoretical analysis of the dynamic mechanical behaviour of a modified rhombic dodecahedron lattice structure

Xiaofei Cao, Xianben Ren, Tian Zhao, Ying Li, Dengbao Xiao, Daining Fang

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Abstract

Metallic lattice structures have been widely utilized in different fields such as automobile, aerospace and so on, owing to their superior mechanical properties and energy absorption characteristics. In this paper, the enhanced dynamic mechanical properties of the modified rhombic dodecahedron (RD) lattice structures were investigated systematically through numerical simulation and theoretical analysis. Results indicated that compressive modulus, initial yield strength and normalized specific energy absorption (SEA) of the modified RD lattice structures all exhibited a quadratic growth trend with the increase of relative density beyond following the traditional law. Meanwhile, the plateau stress and normalized SEA exhibited certain sensitivity to the strain rate and almost linearly increased as the loading rate increased. Finally, a modified rigid-perfectly plastic-locking shock wave model was also proposed, and the predicted results of the proposed modified shock wave model were consistent with the simulation results.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Cellular and Composite Structures · High-Velocity Impact and Material Behavior · Structural Response to Dynamic Loads

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (39)

Show source-provided references
1. Ashby, M.F., Evans, T., Fleck, N.A., Gibson, L.J., Wadley, J.W.H.: Metal Foams—A Design Guide. Butterworth-Heinemann, Oxford (2000)
2. Ashby, M.F., Shercliff, H., Cebon, D.: Materials: Engineering, Science, Processing and Design. Cambridge University Press, Cambridge (2007)
3. Babaee, S., Jahromi, B.H., Ajdari, A., Nayeb-Hashemi, H., Vaziri, A.: Mechanical properties of open-cell rhombic dodecahedron cellular structures. Acta Mater. 60, 2873–2885 (2012)10.1016/j.actamat.2012.01.052 ↗
4. Barnes, A.T., Ravi-Chandar, K., Kyriakides, S., Gaitanaros, S.: Dynamic crushing of aluminum foams: part I—experiments. Int. J. Solids Struct. 51, 1631–1645 (2014)10.1016/j.ijsolstr.2013.11.019 ↗
5. Biswas, N., Ding, J.L.: Numerical study of the deformation and fracture behavior of porous Ti6Al4V alloy under static and dynamic loading. Int. J. Impact Eng. 82, 89–102 (2015)10.1016/j.ijimpeng.2014.08.011 ↗
6. Cao, X., Duan, S., Liang, J., Wen, W., Fang, D.: Mechanical properties of an improved 3D-printed rhombic dodecahedron stainless steel lattice structure of variable cross section. Int. J. Mech. Sci. 145, 53–63 (2018)10.1016/j.ijmecsci.2018.07.006 ↗
7. Cao, X., Xiao, D., Li, Y., Wen, W., Zhao, T., Chen, Z., Jiang, Y., Fang, D.: Dynamic compressive behavior of a modified additively manufactured rhombic dodecahedron 316L stainless steel lattice structure. Thin-Walled Struct. 148, 106586 (2020a)10.1016/j.tws.2019.106586 ↗
8. Cao, X., Jiang, Y., Zhao, T., Wang, P., Wang, Y., Chen, Z., Li, Y., Xiao, D., Fang, D.: Compression experiment and numerical evaluation on mechanical responses of the lattice structures with stochastic geometric defects originated from additive-manufacturing. Compos. B Eng. 194, 108030 (2020b)10.1016/j.compositesb.2020.108030 ↗
9. Choi, J., Chae, T.-S.: Effective stiffness and effective compressive yield strength for unit-cell model of complex truss. Int. J. Mech. Mater. Des. 11, 91–110 (2015)10.1007/s10999-014-9267-9 ↗
10. Dirrenberger, J., Forest, S., Jeulin, D.: Effective elastic properties of auxetic microstructures: anisotropy and structural applications. Int. J. Mech. Mater. Des. 9, 21–33 (2012)10.1007/s10999-012-9192-8 ↗
11. Gibson, L.J., Ashby, M.F.: Cellular Solids: Structure and Properties. Cambridge University Press, Cambridge (1997)10.1017/CBO9781139878326 ↗
12. Gümrük, R., Mines, R.A.W.: Compressive behaviour of stainless steel micro-lattice structures. Int. J. Mech. Sci. 68, 125–139 (2013)10.1016/j.ijmecsci.2013.01.006 ↗
13. Harrigan, J.J., Reid, S.R., Tan, P.J., Yella Reddy, T.: High rate crushing of wood along the grain. Int. J. Mech. Sci. 47, 521–544 (2005)10.1016/j.ijmecsci.2004.12.013 ↗
14. Harrigan, J.J., Reid, S.R., Seyed Yaghoubi, A.: The correct analysis of shocks in a cellular material. Int. J. Impact Eng. 37, 918–927 (2010)10.1016/j.ijimpeng.2009.03.011 ↗
15. Johnson, G.R., Cook, W.H.: Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures. Eng. Fract. Mech. 21, 31–48 (1985)10.1016/0013-7944(85)90052-9 ↗
16. Li, Q.M., Reid, S.R.: About one-dimensional shock propagation in a cellular material. Int. J. Impact Eng. 32, 1898–1906 (2006)10.1016/j.ijimpeng.2005.04.006 ↗
17. Li, Q.M., Magkiriadis, I., Harrigan, J.J.: Compressive strain at the onset of densification of cellular solids. J. Cell. Plast. 42, 371–392 (2006)10.1177/0021955X06063519 ↗
18. Li, S.J., Xu, Q.S., Wang, Z., et al.: Influence of cell shape on mechanical properties of Ti–6Al–4V meshes fabricated by electron beam melting method. Acta Biomater. 10, 4537–4547 (2014)10.1016/j.actbio.2014.06.010 ↗
19. Maskery, I., Aboulkhair, N.T., Aremu, A.O., Tuck, C.J., Ashcroft, I.A., Wildman, R.D., Hague, R.J.M.: A mechanical property evaluation of graded density Al–Si10–Mg lattice structures manufactured by selective laser melting. Mater. Sci. Eng. A 670, 264–274 (2016)10.1016/j.msea.2016.06.013 ↗
20. Mazur, M., Leary, M., McMillan, M., Sun, S., Shidid, D., Brandt, M.: Mechanical properties of Ti6Al4V and AlSi12Mg lattice structures manufactured by selective laser melting (SLM). Laser Addit. Manuf.: Mater. Des. Technol. Appl. 88, 119–16 (2017)10.1016/B978-0-08-100433-3.00005-1 ↗
21. Niu, J., Choo, H.L., Sun, W., Mok, S.H.: Numerical study on load-bearing capabilities of beam-like lattice structures with three different unit cells. Int. J. Mech. Mater. Des. 14, 443–460 (2017)10.1007/s10999-017-9384-3 ↗
22. Novak, N., Hokamoto, K., Vesenjak, M., Ren, Z.: Mechanical behaviour of auxetic cellular structures built from inverted tetrapods at high strain rates. Int. J. Impact Eng 122, 83–90 (2018a)10.1016/j.ijimpeng.2018.08.001 ↗
23. Novak, N., Vesenjak, M., Krstulović-Opara, L., Ren, Z.: Mechanical characterisation of auxetic cellular structures built from inverted tetrapods. Compos. Struct. 196, 96–107 (2018b)10.1016/j.compstruct.2018.05.024 ↗
24. Ptochos, E.: Elastic modulus and Poisson’s ratio determination of micro-lattice cellular structures by analytical, numerical and homogenisation methods. J. Sandw. Struct. Mater. 14, 597–626 (2012)10.1177/1099636212444285 ↗
25. Reid, S.R., Peng, C.: Dynamic uniaxial crushing of wood. Int. J. Impact Eng. 19, 531–570 (1997)10.1016/S0734-743X(97)00016-X ↗
26. Smith, M., Guan, Z., Cantwell, W.J.: Finite element modelling of the compressive response of lattice structures manufactured using the selective laser melting technique. Int. J. Mech. Sci. 67, 28–41 (2013)10.1016/j.ijmecsci.2012.12.004 ↗
27. Song, W., Ning, J., Mao, X., Tang, H.: A modified Johnson–Cook model for titanium matrix composites reinforced with titanium carbide particles at elevated temperatures. Mater. Sci. Eng. A 576, 280–289 (2013)10.1016/j.msea.2013.04.014 ↗
28. Tan, P.J., Reid, S.R., Harrigan, J.J., Zou, Z., Li, S.: Dynamic compressive strength properties of aluminium foams. Part II—‘shock’ theory and comparison with experimental data and numerical models. J. Mech. Phys. Solids 53, 2206–2230 (2005)10.1016/j.jmps.2005.05.003 ↗
29. Tan, P.J., Reid, S.R., Harrigan, J.J.: On the dynamic mechanical properties of open-cell metal foams—a re-assessment of the ‘simple-shock theory’. Int. J. Solids Struct. 49, 2744–2753 (2012)10.1016/j.ijsolstr.2012.03.026 ↗
30. Tancogne-Dejean, T., Mohr, D.: Stiffness and specific energy absorption of additively-manufactured metallic BCC metamaterials composed of tapered beams. Int. J. Mech. Sci. 141, 101–116 (2018)10.1016/j.ijmecsci.2018.03.027 ↗
31. Tancogne-Dejean, T., Spierings, A.B., Mohr, D.: Additively-manufactured metallic micro-lattice materials for high specific energy absorption under static and dynamic loading. Acta Mater. 116, 14–28 (2016)10.1016/j.actamat.2016.05.054 ↗
32. Ushijima, K., Cantwell, W., Mines, R., Tsopanos, S., Smith, M.: An investigation into the compressive properties of stainless steel micro-lattice structures. J. Sandw. Struct. Mater. 13, 303–329 (2010)10.1177/1099636210380997 ↗
33. Wang, Y., Ren, X., Chen, Z., Jiang, Y., Cao, X., Fang, S., Zhao, T., Li, Y., Fang, D.: Numerical and experimental studies on compressive behavior of Gyroid lattice cylindrical shells. Mater. Des. 186, 108340 (2020)10.1016/j.matdes.2019.108340 ↗
34. Xiao, L., Song, W., Wang, C., Tang, H., Fan, Q., Liu, N., Wang, J.: Mechanical properties of open-cell rhombic dodecahedron titanium alloy lattice structure manufactured using electron beam melting under dynamic loading. Int. J. Impact Eng. 100, 75–89 (2017)10.1016/j.ijimpeng.2016.10.006 ↗
35. Xiao, D., Dong, Z., Li, Y., Wu, W., Fang, D.: Compression behavior of the graded metallic auxetic reentrant honeycomb: experiment and finite element analysis. Mater. Sci. Eng. A 758, 163–171 (2019)10.1016/j.msea.2019.04.116 ↗
36. Zhang, Y., Sun, L., Li, L., Wang, T., Shen, L.: Experimental and numerical investigations on low-velocity impact response of high strength steel/composite hybrid plate. Int. J. Impact Eng. 123, 1–13 (2019)10.1016/j.ijimpeng.2018.08.015 ↗
37. Zheng, Z., Liu, Y., Yu, J., Reid, S.R.: Dynamic crushing of cellular materials: continuum-based wave models for the transitional and shock modes. Int. J. Impact Eng. 42, 66–79 (2012)10.1016/j.ijimpeng.2011.09.009 ↗
38. Zheng, Z., Yu, J., Wang, C., Liao, S., Liu, Y.: Dynamic crushing of cellular materials: a unified framework of plastic shock wave models. Int. J. Impact Eng. 53, 29–43 (2013)10.1016/j.ijimpeng.2012.06.012 ↗
39. Zou, Z., Reid, S.R., Tan, P.J., Li, S., Harrigan, J.J.: Dynamic crushing of honeycombs and features of shock fronts. Int. J. Impact Eng. 36, 165–176 (2009)10.1016/j.ijimpeng.2007.11.008 ↗