Effect of strut length and orientation on elastic mechanical response of modified body-centered cubic lattice structures

Abstract

Lattice structures (LSs) have been exploited for wide range of applications including mechanical, thermal, and biomedical structures because of their unique attributes combining the light weight and high strength. The main goal of this research is to investigate the effect of strut length and orientation on the mechanical characteristics of modified body-centered cubic (BCC) LS subjected to a quasi-static axial compressive loading within linear elastic limit using finite element analysis. In this study, two sets of LS were built and analyzed in commercial finite element software, ABAQUS/CAE/EXPLICIT 6.16, using a “smart procedure,” which was developed for this research to reduce the computational time and increase the accuracy of results by creating hexahedral mesh elements. The first set comprises 13 models having fixed strut length with strut angle variation from 40° to 100° with a step of 5°. The second set also includes 13 models; however, having variant strut length, kept constant for a single unit cell and through the entire model but varied from one model to another, with the same strut angle variation as the first set. In addition, the BCC LS with a strut angle of 70.53° was replicated in both sets because it was considered as a reference model to compare the results with it. Furthermore, specimens of the reference model were fabricated by a fused deposition modeling- (FDM) based 3D printer using acrylonitrile butadiene styrene (ABS) material and tested experimentally under compression. Experimental results are observed to be in good agreement with those of the finite element simulation, hence the same loading and boundary conditions were adopted for all other models. It was observed that the fixed strut length BCC LS with a strut angle of 100° offers the highest modulus. However, the highest specific strain energy absorption and specific stiffness as well as the least value of weight were dictated by a variant strut length BCC LS with a strut angle of 40°.

Keywords

Cellular structures additive manufacturing energy absorption compression behavior functionally graded lattice structures

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References

Wong

Owen

Stucliffe

, et al. Convective heat transfer and pressure losses across novel heat sinks fabricated by selective laser melting. Int J Heat Mass Transf 2009; 52: 281–288.

Parthasarathy

Starly

Raman

. A design for the additive manufacture of functionally graded porous structures with tailored mechanical properties for biomedical applications. J Manuf Process 2011; 13: 160–170.

Ullah

Brandt

Feih

. Failure and energy absorption characteristics of advanced 3D truss core structures. Mater Des 2016; 92: 937–948.

Maskery

Hussey

Panesar

, et al. An investigation into reinforced and functionally graded lattice structures. J Cell Plast 2017; 53: 151–165.

Al-Saedi

Masood

Faizan-Ur-Rab

, et al. Mechanical properties and energy absorption capability of functionally graded F2BCC lattice fabricated by SLM. Mater Des 2018; 144: 32–44.

Ashby

Evans

Fleck

, et al. Metal foams: a design guide, Oxford: Butterworth-Heinemann, 2000.

Panda B. Design and development of cellular structure for additive manufacturing. MS Thesis, National Institute of Technology, Rourkela, India 2015, http://ethesis.nitrkl.ac.in/6928/1/Biranchi_Mtech(r)_612ID3003.pdf (2019, accessed 11 March 2019).

Williams B. Design and development of layer-based additive manufacturing process for realization of metal parts of designed mesostructure. PhD Dissertation, Georgia Institute of Technology, Atlanta, Georgia 2008, www.aimme.es/archivosbd/observatorio_oportunidades/design_development_layer_based_additive.pdf (2019, accessed 11 March 2019).

Nguyen D and Vignat F. A method to generate lattice structure for Additive Manufacturing. In: 2016 IEEE International Conference on Industrial Engineering and Engineering Management (IEEM), Bali, Indonesia, 4–7 December 2016, pp. 966–970, https://ieeexplore.ieee.org/document/7798021 (2019, accessed 22 March 2019).

10.

Al Rifiae M, Mian A and Srinivasan R. Compression behavior of three-dimensional printed polymer lattice structures. Proc Inst Mech Eng L J Mater Des Appl 2018, https://doi.org/10.1177/1464420718770475 (2019, accessed 22 March 2019).

11.

Maskery

Sturm

Aremu

, et al. Insights into the mechanical properties of several triply periodic minimal surface lattice structures made by polymer additive manufacturing. Polymer 2018; 152: 62–71.

12.

Sangle S. Design and testing of scalable 3D-printed cellular structures optimized for energy absorption. MS Thesis, Wright State University, Dayton, Ohio 2017, https://corescholar.libraries.wright.edu/etd_all/1731/ (2019, accessed 11 March 2019).

13.

Karamooz Ravari

Kadkhodaei

Badrossamay

, et al. Numerical investigation on mechanical properties of cellular lattice structures fabricated by fused deposition modeling. Int J Mech Sci 2014; 88: 154–161.

14.

Iyibilgin O,Yigit C and Leu M. Experimental investigation of different cellular lattice structures manufactured by fused deposition modeling. In: Solid freeform fabrication symposium, Austin, TX, United States 2013, http://sffsymposium.engr.utexas.edu/Manuscripts/2013/2013-72-Iyibilgin.pdf (2019, accessed 11 March 2019).

15.

Van Grunsven

Hernandez-Nava

Reilly

, et al. Fabrication and mechanical characterisation of titanium lattices with graded porosity. Metals 2014; 4: 401–409.

16.

Zhang

Hou

, et al. Longitudinal compression behavior of functionally graded Ti-6AL-4 V meshes. J Mater Sci Technol 2016; 32: 1098–1104.

17.

Maskery

Aboulkhair

Aremu

, et al. A mechanical property evaluation of graded density Al-Si10-Mg lattice structures manufactured by selective laser melting. Mater Sci Eng A 2016; 670: 264–274.

18.

Choy

Sun

Leong

, et al. Compressive properties of functionally graded lattice structures manufactured by selective laser melting. Mater Design 2017; 131: 112–120.

19.

Maskery

Aremu

Parry

, et al. Effective design and simulation of surface-based lattice structures featuring volume fraction and cell type grading. Mater Des 2018; 155: 220–232.

20.

Lijun

Weidong

. Additively-manufactured functionally graded Ti-6Al-4 V lattice structures with high strength under static and dynamic loading: experiments. Int J Impact Eng 2018; 111: 255–272.

21.

Chakravorty D. STL file format (3D Printing) – simply explained, https://all3dp.com/what-is-stl-file-format-extension-3d-printing/ (2019, accessed 11 March 2019).

22.

Abaqus Unified FEA. Dassault systems, www.3ds.com/products-services/simulia/products/abaqus/abaqusexplicit/ (2019, accessed 11 March 2019).

23.

Öchsner

Winter

Kuhn

. On an elastic-plastic transition zone in cellular metals. Arch Appl Mech 2003; 73: 261–269.

24.

Contuzzi

Campanelli

Casavola

, et al. Manufacturing and characterization of 18Ni marage 300 lattice components by selective laser melting. Materials 2013; 6: 3451–3468.

25.

Ashby

. The properties of foams and lattices. Philos Trans Royal Soc A Math Phys Eng Sci 2006; 364: 15–30.

26.

Chen

Lee

, et al. Effects of internal stress concentrations in plantar soft-tissue – a preliminary three-dimensional finite element analysis. Med Eng Phys 2010; 32: 324–331.

27.

Cuan-Urquizo

Bhaskar

. Flexural elasticity of woodpile lattice beams. Eur J Mech A Solids 2018; 67: 187–199.

28.

Tadepalli

Erdemir

Cavanagh

. Comparison of hexahedral and tetrahedral elements in finite element analysis of the foot and footwear. J Biomech 2011; 44: 2337–2343.

29.

De Oliveira B and Sundnes J. Comparison of Tetrahedral and Hexahedral Meshes for Finite Element Simulation of Cardiac Electro-Mechanics. In: Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016), Crete Island, Greece, 5–10 June 2016, pp. 164–177, https://www.eccomas2016.org/proceedings/pdf/9193.pdf (2019, accessed 12 March 2019).

30.

Rybachuk

Mauger

Fiedler

, et al. Anistropic mechanical properties of fused modeled parts fabricated by using acrylonitrile butadiene styrene polymer. J Polym Eng 2017; 37: 699–706.

31.

ASTM. standard Test Method for Tensile properties of Plastics,ASTM INTERANATIONAL, www.astm.org/Standards/D638.htm (2018, accessed 25 October 2018).

32.

Feng

Tang

Liu

, et al. An investigation of the mechanical properties of metallic lattice structures fabricated using selective laser melting. Proc IMechE, Part B: J Engineering Manufacture 2016; 232: 1719–1730.

33.

Fadeel A, Mian A, Al Rifaie A, et al. Effect of Vertical Strut Arrangements on Compression Characteristics of 3D Printed Polymer Lattice Structures: Experimental and Computational Study. J Mater Eng Perform 2018; 28: 709–716.

34.

Gibson

Ashby

. Cellular solids: structure and properties, Cambridge: Cambridge University Press, 1997.

35.

Dong

Deshpande

Wadley

. Mechanical response of Ti-6Al-4V octet-truss lattice structures. Int J Solids Struct 2015; 60: 107–124.

36.

Egan

Gonella

Engensperger

, et al. Computationally designed lattices with tuned properties for tissue engineering using 3D printing. PLoS One 2017; 12: 1–20.