Skip to main content
Log in

Design parameters of a Kagome lattice structure constructed by fused deposition modeling: a response surface methodology study

  • Original Research
  • Published:
Iranian Polymer Journal Aims and scope Submit manuscript

Abstract

Nowadays, reducing the weight of materials while providing sufficient strength is vital in the transportation industry and energy absorption applications. A cellular lattice structure with excellent mechanical properties and low weight can be a suitable structure. Additive manufacturing (AM) or 3D-printing has created a revolution in manufacturing processes. This allows for the manufacture of complex parts in small quantities. Fused deposition modeling (FDM) is a common and low-cost AM technique. In this research, a Kagome structure was constructed by FDM. The height, angle, and diameter of struts, and two typical materials acrylonitrile butadiene styrene (ABS) and polylactic acid (PLA) were varied by Box–Behnken response surface methodology (RSM). The specimens were subjected to compressive and shear tests. From the highest p value, it was found that the diameter of the strut is the most significant parameter of mechanical responses. The energy absorption was higher in ABS because of the higher strain-at-fracture in the tensile test of the ABS specimen. Optimization was conducted based on two types of objective functions. The optimized lattices were tested and the results were compared with the predictions obtained by regression equations. The equations extracted by RSM implied that the models can predict the experimental results in good agreement.

Graphical abstract

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

Data availability

All data analyzed in this study are included in the manuscript and related datasets are available from the corresponding author upon reasonable request.

References

  1. Maliaris G, Sarafis E (2017) Mechanical behavior of 3D printed stochastic lattice structures. Solid State Phenom 258:225–228

    Article  Google Scholar 

  2. Ullah I, Brandt M, Feih S (2016) Failure and energy absorption characteristics of advanced 3D truss core structures. Mater Des 92:937–948

    Article  CAS  Google Scholar 

  3. Liu J, Wang Z, Hui D (2018) Blast resistance and parametric study of sandwich structure consisting of honeycomb core filled with circular metallic tubes. Compos B Eng 145:261–269

    Article  Google Scholar 

  4. Wei K, Yang Q, Ling B, Qu Z, Pei Y, Fang D (2018) Design and analysis of lattice cylindrical shells with tailorable axial and radial thermal expansion. Extreme Mech Lett 20:51–58

    Article  Google Scholar 

  5. Parsons EM (2019) Lightweight cellular metal composites with zero and tunable thermal expansion enabled by ultrasonic additive manufacturing: modeling, manufacturing, and testing. Compos Struct 223:1–17

    Article  Google Scholar 

  6. Dong G, Wijaya G, Tang Y, Zhao YF (2018) Optimizing process parameters of fused deposition modeling by Taguchi method for the fabrication of lattice structures. Addit Manuf 19:62–72

    Google Scholar 

  7. Ravari MK, Kadkhodaei M, Badrossamay M, Rezaei R (2014) Numerical investigation on mechanical properties of cellular lattice structures fabricated by fused deposition modeling. Int J Mech Sci 88:154–161

    Article  Google Scholar 

  8. Wei K, Cheng X, He R, Pei Y, Fang D (2014) Heat transfer mechanism of the C/SiC ceramics pyramidal lattice composites. Compos B Eng 63:8–14

    Article  CAS  Google Scholar 

  9. Chen Y, Qian F, Zuo L, Scarpa F, Wang L (2017) Broadband and multiband vibration mitigation in lattice metamaterials with sinusoidally-shaped ligaments. Extreme Mech Lett 17:24–32

    Article  Google Scholar 

  10. Park JH, Kim KJ (2013) Optimal design of camber link component for light weight automobile using CAE (computer aided engineering). Int J Precis Eng 14:1433–1437

    Article  Google Scholar 

  11. Dornfeld DA (2014) Moving towards green and sustainable manufacturing. Int J Precis Eng Manuf Green Technol 1:63–66

    Article  Google Scholar 

  12. Zhang Q, Yang X, Li P, Huang G, Feng S, Shen C, Han B, Zhang X, Jin F, Xu F (2015) Bioinspired engineering of honeycomb structure: using nature to inspire human innovation. Prog Mater Sci 74:332–400

    Article  Google Scholar 

  13. Dogan E, Bhusal A, Cecen B, Miri AK (2020) 3D Printing metamaterials towards tissue engineering. Appl Mater Today 20:100752

    Article  PubMed  PubMed Central  Google Scholar 

  14. Du Plessis A, Yadroitsava I, Yadroitsev I, Le Roux S, Blaine D (2018) Numerical comparison of lattice unit cell designs for medical implants by additive manufacturing. Virtual Phys Prototyp 13:266–281

    Article  Google Scholar 

  15. Jiao Z, Luo B, Xiang S, Ma H, Yu Y, Yang W (2019) 3D printing of HA/PCL composite tissue engineering scaffolds. Adv Ind Eng Polym Res 2:196–202

    Google Scholar 

  16. Walters M, Geers M, Wismans J, Witteman W, Swartjes F (2005) Designing and analyzing Kagome structures for crash safety applications. Masters, Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven

    Google Scholar 

  17. Rezaie R, Badrossamay M, Ghaie A, Moosavi H (2013) Topology optimization for fused deposition modeling process. Procedia Cirp 6:521–526

    Article  Google Scholar 

  18. Wang R, Shang J, Li X, Luo Z, Wu W (2018) Vibration and damping characteristics of 3D printed Kagome lattice with viscoelastic material filling. Sci Rep 8:1–13

    Google Scholar 

  19. Zhai G, Zhang J (2021) Scalable fiber composite lattice structures via continuous spatial weaving. Compos Struct 262:1–10

    Article  Google Scholar 

  20. Xiong J, Ma L, Vaziri A, Yang J, Wu L (2012) Mechanical behavior of carbon fiber composite lattice core sandwich panels fabricated by laser cutting. Acta Mater 60:5322–5334

    Article  CAS  Google Scholar 

  21. Yin S, Wu L, Ma L, Nutt S (2012) Hybrid truss concepts for carbon fiber composite pyramidal lattice structures. Compos B 43:1749–1755

    Article  Google Scholar 

  22. Wadley HN, Fleck NA, Evans AG (2003) Fabrication and structural performance of periodic cellular metal sandwich structures. Compos Sci Technol 63:2331–2343

    Article  CAS  Google Scholar 

  23. Xiao R, Ding M, Wang Y, Gao L, Fan R, Lu Y (2021) Stereolithography (SLA) 3D printing of carbon fiber-graphene oxide (CF-GO) reinforced polymer lattices. Nanotechnology 32:235702

    Article  CAS  Google Scholar 

  24. Maconachie T, Leary M, Lozanovski B, Zhang X, Qian M, Faruque O, Brandt M (2019) SLM lattice structures: properties, performance, applications and challenges. Mater Des 183:108137

    Article  Google Scholar 

  25. Jin X, Li GX, Zhang M (2018) Optimal design of three-dimensional non-uniform nylon lattice structures for selective laser sintering manufacturing. Adv Mech Eng 10:1–19

    Article  Google Scholar 

  26. Cansizoglu O, Harrysson O, Cormier D, West H, Mahale T (2008) Properties of Ti-6Al-4V non-stochastic lattice structures fabricated via electron beam melting. Mater Sci Eng A 492:468–474

    Article  Google Scholar 

  27. Liu W, Song H, Wang Z, Wang J, Huang C (2019) Improving mechanical performance of fused deposition modeling lattice structures by a snap-fitting method. Mater Des 181:1–11

    Article  Google Scholar 

  28. Salavati M, Yousefi AA (2019) Polypropylene-clay micro/nanocomposites as fused deposition modeling filament: effect of polypropylene-g-maleic anhydride and organo-nanoclay as chemical and physical compatibilizers. Iran Polym J 28:611–620

    Article  CAS  Google Scholar 

  29. Wei K, Yang Q, Ling B, Xie H, Qu Z, Fang D (2018) Mechanical responses of titanium 3D kagome lattice structure manufactured by selective laser melting. Extreme Mech Lett 23:41–48

    Article  Google Scholar 

  30. Lebaal N, Zhang Y, Demoly F, Roth S, Gomes S, Bernard A (2019) Optimised lattice structure configuration for additive manufacturing. CIRP Ann 68:117–120

    Article  Google Scholar 

  31. Gautam R, Idapalapati S, Feih S (2018) Printing and characterisation of Kagome lattice structures by fused deposition modelling. Mater Des 137:266–275

    Article  CAS  Google Scholar 

  32. Hyun S, Karlsson AM, Torquato S, Evans A (2003) Simulated properties of Kagome and tetragonal truss core panels. Int J Solids Struct 40:6989–6998

    Article  Google Scholar 

  33. Abate KM, Nazir A, Yeh YP, Chen JE, Jeng JY (2020) Design, optimization, and validation of mechanical properties of different cellular structures for biomedical application. J Adv Manuf Technol 106:1253–1265

    Article  Google Scholar 

  34. Kumar A, Verma S, Jeng JY (2020) Supportless lattice structures for energy absorption fabricated by fused deposition modeling. 3D Print Addit Manuf 7:85–96

    Article  PubMed  PubMed Central  Google Scholar 

Download references

Funding

This work was supported by Babol Noshirvani University of Technology (Grant number BNUT/391012/1397).

Author information

Authors and Affiliations

Authors

Contributions

All authors contributed to the concept and design of the study. Material preparation, data collection and analysis were performed by Javid Zare Shiadehi, and Abbas Zolfaghari. The first draft of the manuscript was written by Javid Zare Shiadehi and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

Corresponding author

Correspondence to Abbas Zolfaghari.

Ethics declarations

Conflict of interest

The authors have no relevant financial or non-financial interests to disclose.

Supplementary Information

Below is the link to the electronic supplementary material.

Supplementary file1 (DOCX 24 KB)

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zare Shiadehi, J., Zolfaghari, A. Design parameters of a Kagome lattice structure constructed by fused deposition modeling: a response surface methodology study. Iran Polym J 32, 1089–1100 (2023). https://doi.org/10.1007/s13726-023-01196-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13726-023-01196-3

Keywords

Navigation