Mathematical Simulation of the Stress-Strain State Manifesting During Compression of a Lattice Structure Manufactured by means of Selective Laser Melting
Authors: Yakovlev N.O., Grinevich D.V., Mazalov P.B. | Published: 05.12.2018 |
Published in issue: #6(81)/2018 | |
DOI: 10.18698/1812-3368-2018-6-113-127 | |
Category: Physics | Chapter: Condensed Matter Physics | |
Keywords: lattice structure, additive technologies, simulation, finite element method, three-dimensional model, beam model |
The study considers approaches to mathematical simulation of compression deformation in lattice structure samples featuring a truss-like primitive cell (stellated octahedron, or octet-truss), manufactured by means of selective laser melting of powdered CL20ES steel. We simulated the primitive cells using three-dimensional and beam modelling, employing a number of options for adjusting beam model rigidity by augmenting the cell model with rigid constraints in the corner points, beam elements or uniform rigidity distribution over the model. An adjusted beam model featuring rigid constraints in its corner points, the constraint length being equal to 1/4 of the octahedron face length (0.88 mm) and the effective bar diameter measuring 0.8 mm, made it possible to obtain a highly precise computational strain curve for compression of a lattice structure sample featuring a 5 mm primitive cell edge, the cell bars being approximately 1 mm in diameter
References
[1] Kablov E.N. Strategical areas of developing materials and their processing technologies for the period up to 2030. Aviatsionnye materialy i tekhnologii [Aviation Materials and Technologies], 2012, no. S, pp. 7–17 (in Russ.).
[2] Vostrikov A.V., Sukhov D.I. The production of powders by PREP method for additive manufacturing — current situation and development prospects. Trudy VIAM [Proceedings of VIAM], 2016, no. 8 (in Russ.). DOI: 10.18577/2307-6046-2016-0-8-3-3
[3] Kablov E.N. Klyuchevaya problema — materialy. Tendentsii i orientiry innovatsionnogo razvitiya Rossii [Key problem — materials. In: Tendencies and milestones of Russian innovative development]. Moscow, VIAM Publ., 2015, pp. 458–464 (in Russ.).
[4] Kablov E.N. Additive technology: a dominant of national technology initiative. Intellekt i tekhnologii, 2015, no. 2 (11), pp. 52–55 (in Russ.).
[5] Gibson L.J., Ashby M.F. Cellular solids: structure and properties. Cambridge, Cambridge Univ. Press, 1999. 532 p.
[6] Gerasimov V.V. From single-crystal uncooled blades to turbines blades with penetration (transpiration) cooling made by additive technologies (review on technology of single-crystal GTE bladescasting). Trudy VIAM [Proceedings of VIAM], 2016, no. 10 (in Russ.). DOI: 10.18577/2307-6046-2016-0-10-1-1
[7] Sukhov D.N., Kablov E.N., Vasilenko S.A., et al. Sposob izgotovleniya detaley posloynym lazernym splavleniem metallicheskikh poroshkov zharoprochnykh splavov na osnove nikelya [Parts manufacturing method by laser layer alloying of heat-resistant alloys from nickel-based metallic powders]. Patent RF 2623537. Appl. 13.11.15, publ. 27.06.2017 (in Russ.).
[8] Ashby M., Evans A., Fleck N., Gibson L., Hutchinson J.W., Wadley H.N.G., Delale F. Metal foams: a design guide. Appl. Mech. Rev., 2001, vol. 54, iss. 6, pp. B105–B106. DOI: 10.1115/1.1421119
[9] Sukhov D.I., Mazalov P.B., Nerush S.V., Khodyrev N.A. The influence of SLS parameters on pores formation in stainless steel material. Trudy VIAM [Proceedings of VIAM], 2017, no. 8 (56) (in Russ.). DOI: 10.18577/2307-6046-2017-0-8-4-4
[10] Ashby M.F. The properties of foams and lattices. Philos. Trans. A Math. Phys. Eng. Sci., 2006, vol. 364, no. 1838, pp. 15–30. DOI: 10.1098/rsta.2005.1678
[11] Zlenko M.A., Popovich A.A., Mutylina I.N. Additivnye tekhnologii v mashinostroenii [Additive technologies in machine engineering]. Saint Petersburg, Izd-vo politekh. univ. Publ., 2013. 222 p.
[12] Deshpande V.S., Fleck N.A., Ashby M.F. Effective properties of the octet-truss lattice material. J. Mech Phys. Solids, 2001, vol. 49, iss. 8, pp. 1747–1769. DOI: 10.1016/S0022-5096(01)00010-2
[13] Dakshnamoorthy V., Taylor R.M. Automated lattice optimization of hinge fitting with displacement constraint. Solid Freeform Fabrication 2016. Proc. 26th Annual Int. Solid Freeform Fabrication Symp. — An Additive Manufacturing Conf., 2016, pp. 2123–2138.
[14] Nguyen D.S., Vignat F. A method to generate lattice structure for additive manufacturing. Int. Conf. Industrial Eng. and Eng. Management (IEEM), 2016, pp. 966–970. DOI: 10.1109/IEEM.2016.7798021
[15] Sukhov D.I., Nerush S.V., Belyakov S.V., Mazalov P.B. The research of surface roughness parameters and accuracy of additive manufacturing. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroenie [Proceedings of Higher Educational Institutions. Machine Building], 2017, no. 9 (690), pp. 73–84 (in Russ.). DOI: 10.18698/0536-1044-2017-9-73-84
[16] Neff C., Hopkinson N., Crane N.B. Selective laser sintering of diamond lattice structures: experimental results and FEA model comparison. Solid Freeform Fabrication 2015. Proc. 25th Annual Int. Solid Freeform Fabrication Symp. — An Additive Manufacturing Conf., 2015, pp. 1104–1117.