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Frontiers of Mechanical Engineering

ISSN 2095-0233

ISSN 2095-0241(Online)

CN 11-5984/TH

Postal Subscription Code 80-975

2018 Impact Factor: 0.989

Front. Mech. Eng.    2020, Vol. 15 Issue (2) : 319-327    https://doi.org/10.1007/s11465-019-0549-7
RESEARCH ARTICLE
Compressive behavior and energy absorption of polymeric lattice structures made by additive manufacturing
Sheng WANG1, Jun WANG1,2(), Yingjie XU1,3(), Weihong ZHANG1, Jihong ZHU1
1. State IJR Center of Aerospace Design and Additive Manufacturing, Northwestern Polytechnical University, Xi’an 710072, China
2. Intelligent Materials and Structures, Unmanned System Research Institute, Northwestern Polytechnical University, Xi’an 710072, China
3. Shaanxi Engineering Laboratory of Aerospace Structure Design and Application, Northwestern Polytechnical University, Xi’an 710072, China
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Abstract

Lattice structures have numerous outstanding characteristics, such as light weight, high strength, excellent shock resistance, and highly efficient heat dissipation. In this work, by combining experimental and numerical methods, we investigate the compressive behavior and energy absorption of lattices made through the stereolithography apparatus process. Four types of lattice structures are considered: (i) Uniform body-centered-cubic (U-BCC); (ii) graded body-centered-cubic (G-BCC); (iii) uniform body-centered-cubic with z-axis reinforcement (U-BCCz); and (iv) graded body-centered-cubic with z-axis reinforcement (G-BCCz). We conduct compressive tests on these four lattices and numerically simulate the compression process through the finite element method. Analysis results show that BCCz has higher modulus and strength than BCC. In addition, uniform lattices show better energy absorption capabilities at small compression distances, while graded lattices absorb more energy at large compression distances. The good correlation between the simulation results and the experimental phenomena demonstrates the validity and accuracy of the present investigation method.

Keywords lattice structure      polymer      compressive behavior      additive manufacturing      simulation     
Corresponding Author(s): Jun WANG,Yingjie XU   
Just Accepted Date: 21 August 2019   Online First Date: 24 September 2019    Issue Date: 25 May 2020
 Cite this article:   
Sheng WANG,Jun WANG,Yingjie XU, et al. Compressive behavior and energy absorption of polymeric lattice structures made by additive manufacturing[J]. Front. Mech. Eng., 2020, 15(2): 319-327.
 URL:  
https://academic.hep.com.cn/fme/EN/10.1007/s11465-019-0549-7
https://academic.hep.com.cn/fme/EN/Y2020/V15/I2/319
Fig.1  CAD models of (a) BCC and (b) BCCz. Both contain a unit cell: Uniform density (left) and graded density (right) instances.
Fig.2  Photographs of the G-BCC (left) and G-BCCz (right) lattice structures.
Fig.3  (a) Design and (b) actual setup of the quasi-static compressive test.
Fig.4  Compression simulation. (a) Geometric model; (b) finite element model.
Fig.5  Compressive deformations of U-BCC and U-BCCz lattices at different strain levels.
Fig.6  Compressive stress–strain curves of the U-BCC and U-BCCz lattice structures.
Fig.7  Layer-by-layer deformations of the G-BCC and G-BCCz.
Fig.8  Compressive stress–strain curves of the G-BCC and G-BCCz lattices.
Fig.9  Comparison with respect to the load–displacement relation between the numerical results and the experimental data: (a) The uniform density lattices; (b) the graded lattices.
Structure Compressive modulus/MPa Ultimate strength/MPa
Experiment Simulation Experiment Simulation
U-BCC 0.1500 0.1525 0.0331 0.0339
G-BCC 0.1263 0.1849 0.0076 0.0089
U-BCCz 4.0000 3.7399 0.0799 0.0825
G-BCCz 0.8968 3.4134 0.0206 0.0355
Tab.1  Compressive modulus and ultimate strength of the four lattice structures
Fig.10  Evolution of the deformation behavior of the lattice structures predicted by simulation: (a) U-BCC, (b) U-BCCz, (c) G-BCC, and (d) G-BCCz.
Fig.11  Energy absorbed by the lattice structures during compression.
1 L J Gibson, M F Ashby. Cellular Solids: Structure and Properties. 2nd ed. Cambridge: Cambridge University Press, 1999
2 A G Evans, J W Hutchinson, N A Fleck, et al.. The topological design of multifunctional cellular metals. Progress in Materials Science, 2001, 46(3‒4): 309–327
https://doi.org/10.1016/S0079-6425(00)00016-5
3 Z Xue, J W Hutchinson. A comparative study of impulse-resistant metal sandwich plates. International Journal of Impact Engineering, 2004, 30(10): 1283–1305
https://doi.org/10.1016/j.ijimpeng.2003.08.007
4 T Kim, H P Hodson, T J Lu. Fluid-flow and endwall heat-transfer characteristics of an ultralight lattice-frame material. International Journal of Heat and Mass Transfer, 2004, 47(6‒7): 1129–1140 doi:10.1016/j.ijheatmasstransfer.2003.10.012
5 J Wang, T J Lu, J Woodhouse, et al.. Sound transmission through lightweight double-leaf partitions: Theoretical modelling. Journal of Sound and Vibration, 2005, 286(4‒5): 817–847
https://doi.org/10.1016/j.jsv.2004.10.020
6 T Liu, Z C Deng, T J Lu. Bi-functional optimization of actively cooled, pressurized hollow sandwich cylinders with prismatic cores. Journal of the Mechanics and Physics of Solids, 2007, 55(12): 2565–2602
https://doi.org/10.1016/j.jmps.2007.04.007
7 Y Wang, H Xu, D Pasini. Multiscale isogeometric topology optimization for lattice materials. Computational Methods in Applied Mathematics and Engineering, 2017, 316: 568–585
https://doi.org/10.1016/j.cma.2016.08.015
8 Y Wang, S Arabnejad, M Tanzer, et al.. Hip implant design with three-dimensional porous architecture of optimized graded density. Journal of Mechanical Design, 2018, 140(11): 111406 doi:10.1115/1.4041208
9 Z Wu, L Xia, S Wang, et al.. Topology optimization of hierarchical lattice structures with substructuring. Computational Methods in Applied Mathematics and Engineering, 2019, 345: 602–617
https://doi.org/10.1016/j.cma.2018.11.003
10 D Da, J Yvonnet, L Xia, et al.. Topology optimization of periodic lattice structures taking into account strain gradient. Computers & Structures, 2018, 210: 28–40 doi:10.1016/j.compstruc.2018.09.003
11 Z P Wang, L H Poh, J Dirrenberger, et al.. Isogeometric shape optimization of smoothed petal auxetic structures via computational periodic homogenization. Computational Methods in Applied Mathematics and Engineering, 2017, 323: 250–271
https://doi.org/10.1016/j.cma.2017.05.013
12 Z P Wang, L H Poh, Y Zhu, et al.. Systematic design of tetra-petals auxetic structures with stiffness constraint. Materials & Design, 2019, 170: 107669 doi:10.1016/j.matdes.2019.107669
13 M Helou, S Kara. Design, analysis and manufacturing of lattice structures: An overview. International Journal of Computer Integrated Manufacturing, 2018, 31(3): 243–261
https://doi.org/10.1080/0951192X.2017.1407456
14 Y Hou, Y Tie, C Li, et al.. Low-velocity impact behaviors of repaired CFRP laminates: Effect of impact location and external patch configurations. Composites. Part B, Engineering, 2019, 163: 669–680
https://doi.org/10.1016/j.compositesb.2018.12.153
15 V S Deshpande, N A Fleck, M F Ashby. Effective properties of the octet-truss lattice material. Journal of the Mechanics and Physics of Solids, 2001, 49(8): 1747–1769
https://doi.org/10.1016/S0022-5096(01)00010-2
16 H J Rathbun, Z Wei, M Y He, et al.. Measurement and simulation of the performance of a lightweight metallic sandwich structure with a tetrahedral truss core. Journal of Applied Mechanics, 2004, 71(3): 368–374
https://doi.org/10.1115/1.1757487
17 F W Zok, S A Waltner, Z Wei, et al.. A protocol for characterizing the structural performance of metallic sandwich panels: Application to pyramidal truss cores. International Journal of Solids and Structures, 2004, 41(22‒23): 6249–6271
https://doi.org/10.1016/j.ijsolstr.2004.05.045
18 J Wang, A G Evans, K Dharmasena, et al.. On the performance of truss panels with Kagome cores. International Journal of Solids and Structures, 2003, 40(25): 6981–6988
https://doi.org/10.1016/S0020-7683(03)00349-4
19 P Moongkhamklang, D M Elzey, H N Wadley. Titanium matrix composite lattice structures. Composites. Part A: Applied Science and Manufacturing, 2008, 39(2): 176–187 doi:10.1016/j.compositesa.2007.11.007
20 M H Luxner, J Stampfl, H E Pettermann. Finite element modeling concepts and linear analyses of 3D regular open cell structures. Journal of Materials Science, 2005, 40(22): 5859–5866
https://doi.org/10.1007/s10853-005-5020-y
21 A P Roberts, E J Garboczi. Elastic properties of model random three-dimensional open-cell solids. Journal of the Mechanics and Physics of Solids, 2002, 50(1): 33–55
https://doi.org/10.1016/S0022-5096(01)00056-4
22 J Brennan-Craddock, D Brackett, R Wildman, et al.. The design of impact absorbing structures for additive manufacture. Journal of Physics: Conference Series, 2012, 382(1): 012042
https://doi.org/10.1088/1742-6596/382/1/012042
23 R Gümrük, R A Mines. Compressive behavior of stainless steel micro-lattice structures. International Journal of Mechanical Sciences, 2013, 68: 125–139
https://doi.org/10.1016/j.ijmecsci.2013.01.006
24 R A Mines, S Tsopanos, Y Shen, et al.. Drop weight impact behavior of sandwich panels with metallic micro lattice cores. International Journal of Impact Engineering, 2013, 60: 120–132
https://doi.org/10.1016/j.ijimpeng.2013.04.007
25 M Smith, Z Guan, W J Cantwell. Finite element modelling of the compressive response of lattice structures manufactured using the selective laser melting technique. International Journal of Mechanical Sciences, 2013, 67: 28–41
https://doi.org/10.1016/j.ijmecsci.2012.12.004
26 Y Shen, W Cantwell, R Mines, et al.. Low-velocity impact performance of lattice structure core based sandwich panels. Journal of Composite Materials, 2014, 48(25): 3153–3167
https://doi.org/10.1177/0021998313507616
27 R Gümrük, R A Mines, S Karadeniz. Static mechanical behaviours of stainless steel micro-lattice structures under different loading conditions. Materials Science and Engineering A, 2013, 586: 392–406
https://doi.org/10.1016/j.msea.2013.07.070
28 R Vrána, D Koutny, D Paloušek, et al.. Impact resistance of lattice structure made by selective laser melting technology. Modern Machinery (MM) Science Journal, 2015, 852–855
https://doi.org/10.17973/MMSJ.2015_12_201547
29 M L McMillan, M Jurg, M Leary, et al.. Programmatic generation of computationally efficient lattice structures for additive manufacture. Rapid Prototyping Journal, 2017, 23(3): 486–494
https://doi.org/10.1108/RPJ-01-2016-0014
30 L Meng, W Zhang, D Quan, et al.. From topology optimization design to additive manufacturing: Today’s success and tomorrow’s roadmap. Archives of Computational Methods in Engineering, 2019 (in press)
https://doi.org/10.1007/s11831-019-09331-1
31 International Organization for Standardization. DIN EN ISO 604:2002, Plastics—Determination of Compressive Properties. 2002
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