Parameter Study of GTN Model in a SLM Manufactured Lattice Structure under Compression by Using FEM

Document Type : Research Paper


1 Department of Mechanical Engineering, Shiraz University, Shiraz, Iran

2 Department of Mechanical Engineering, University of Larestan, Lar, Iran



This study investigates the effect of material parameters of the Gurson-Tvergaard-Needleman (GTN) model on the failure prediction of cellular structures. The effect of elastic modulus, calibration parameter of GTN model, isotropic hardening, fracture strain, and strut diameter on the load-displacement curve of a lattice structure fabricated by Selective Laser Melting (SLM) has been studied by using the finite element method. The power law of Hollomon has been used to model the isotropic hardening behavior. The considered lattice structure is made of AlSi10Mg alloy, which is used in different industries. A 20cm×20cm×20cm structure with 4 Body Centered Cubic (BCC) unit cells in x, y, and z directions have been considered. The results show that 250000 elements for one-quarter of the lattice structure are quite enough to obtain acceptable results. The effect of prescribed parameters on the load-displacement curve of the lattice structure has been studied. Based on the obtained results, diameter and hardening behavior are the most influential parameters and the significant effect on load-displacement curve has been observed.


[1]     T. DebRoy, H.L. Wei, J.S. Zuback, T. Mukherjee, J.W. Elmer, J.O. Milewski, W.T. Zhang, Additive manufacturing of metallic components-Process, structure and properties, Progress in Materials Science, 92 (2018) 112-224.
[2]     F. A. McClintock, A Criterion for Ductile Fracture, Journal of Applied Mechanics, 35(2) (1968) 363-371.
[3]     J.R. Rice, D. M. Tracy, On the ductile enlargement of voids in triaxial stress fields, Journal of the Mechanics and the Physics of the Solids, 17(3) (1969) 201-217.
[4]     Z. Chen, C. Butcher, Micromechanics Modelling of Ductile Fracture, Springer, London (2013).
[5]     A.L. Gurson, Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part 1- Yield Criteria and Flow Rules for Porous Ductile Media, Journal of Engineering Materials and Technology, 92(1) (1977) 2-15.
[6]     V. Tvregaard, Influence of voids on shear band instabilities under plane strain conditions, International Journal of Fracture, 17 (4) (1981) 389-407.
[7]     V. Tvregaard, A. Neddleman, Effects of nonlocal damage in porous plastic solids, International Journal of Solids and Structures, 39 (8) (1984) 1063-11077.
[8]     Y. Amani, S. Dancette, P. Delroisse, A. Simar, E. Maire, Compression of lattice structures produced by selective laser melting: X-ray tomography based experimental and finite element approaches, Acta Materialia, 159 (2018) 395-407.
[9]     M. Leary, M. Mazur, J. Elambasseril, M. McMillan, T. Chirent, Y. Suna, M. Qian, M. Eastona, M. Brandt, Selective laser melting (SLM) of AlSi12Mg lattice structures,   Materials and Design, 98 (2016) 344-357.
[10]   C. Li, H. Lei, Y. Liu, X. Zhang, J. Xiong, H. Zhou, D. Fang, Crushing behavior of multi-layer metal lattice panel fabricated by selective laser melting, International Journal of Mechanical Sciences, 145 (2018) 389-399.
[11]   E.F.A. Irmak, T. Troster, T., 2019. “Fracture prediction of additively manufactured AlSi10Mg materials, Procedia Structural Integrity, 21 (2019) 190-197.
[12]   M. Costas, D. Morin, M. de Lucio, M. Langseth, Testing and simulation of additively manufactured AlSi10Mg components under quasi-static loading,  European Journal of Mechanics / A Solids, 81 (2020) 103966.
[13]   J. Samei, M. Amirmaleki, M. Shirinzadeh Dastgiri, C.E. Marinelli, D.E. Green, In-situ X-ray tomography analysis of the evolution of pores during deformation of AlSi10Mg fabricated by selective laser melting, Materials Letters, 255 (2018) 126512.
[14]   P. Delroisse, P.J. Jacques, E. Maire, O. Rigo, A. Simar, Effect of strut orientation on the microstructure heterogeneities in AlSi10Mg lattices processed by selective laser melting,  Scripta Materialia, 141 (2017) 32-35.
[15]   Z. Dong, X. Zhang, W. Shi, H. Zhou, H. Lei,‌ J. Liang,  Study of size effect on microstructure and mechanical properties of AlSi10Mg samples made by selective laser melting, Materials (Basel) (2018), 11.
[16]   K. Kempen, L. Thijs, J. Van Humbeeck, J.P. Kruth, Processing AlSi10Mg by selective laser melting: parameter optimization and material characterization, Materials Science and Technology, 31 (8) (2015) 917-923.
[17]   L. Jing Chen, W. Hou, X. Wang, S. Chu, Z. Yang, Microstructure, porosity and mechanical properties of selective laser melted AlSi10Mg, Chinese Journal of Aeronautics, 33(7) (2020) 2043-2054.
[18]   M. Liu, N. Takata, A. Suzuki, M. Kobashi, Development of gradient microstructure in the lattice structure of AlSi10Mg alloy fabricated by selective laser melting, Journal of Materials Science and Technology, 36 (2019) 106-117.