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Mechanical performance of additive manufactured shoe midsole designed using variable-dimension helical springs

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Abstract

The mechanical properties such as energy absorption, crushing behavior, and strength-to-weight ratio of graded density structures are significantly better when compared with uniform density counterparts. Graded density structures have been widely investigated due to recent developments in additive manufacturing (AM) technology, which can easily manufacture complex geometries. The study explores the significance of variable-dimension helical spring (VDS) to be used in shoe midsole to improve the stiffness, energy absorption, and energy return. Two novel shoe midsoles are designed using the variable-dimension helical springs and their performance was compared with a third shoe midsole designed using uniform-dimension helical spring (UDS). Variable-dimension shoe midsoles were designed according to the actual pressure distribution applied by the human foot on the midsole. The Multijet fusion AM process was employed for the fabrication of all shoe midsole samples. It is revealed that despite the same mass and bounding box, variable-dimension midsoles have significantly improved mechanical properties compared to uniform-dimension midsole. It is found that the VDS midsole has sixfolds higher force-bearing capacity, and has a lower permanent material setting phenomena when compared to UDS midsole. Moreover, a higher (45%) distortion was found in the UDS midsole after the loading-unloading experiment when compared to the VDS midsole (24%) distortion. A further comparison of the VDS midsole was carried out with the commercially available wave spring-based midsole. Despite about 2-fold higher weight of the wave spring–based midsole, the VDS polymer midsole has higher mechanical properties found in terms of flexibility and force-bearing capacity. Finally, it is concluded that the VDS structure of the midsole can enhance the mechanical properties such as force-bearing capacity, flexibility, and stability with a higher strength-to-weight ratio. This study also proves the feasibility of design and AM of customer-specific shoe midsole.

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References

  1. Sun PC, Wei HW, Chen CH et al (2008) Effects of varying material properties on the load deformation characteristics of heel cushions. Med Eng Phys 30:687–692. https://doi.org/10.1016/j.medengphy.2007.07.010

    Article  Google Scholar 

  2. Davia-Aracil M, Hinojo-Pérez JJ, Jimeno-Morenilla A, Mora-Mora H (2018) 3D printing of functional anatomical insoles. Comput Ind 95:38–53. https://doi.org/10.1016/j.compind.2017.12.001

    Article  Google Scholar 

  3. Chiu H-T, Lin H-H (2019) A preference test on shoes with varied distributions of masses. Footwear Sci 11:181–189. https://doi.org/10.1080/19424280.2019.1669077

    Article  Google Scholar 

  4. Gupta N (2007) A functionally graded syntactic foam material for high energy absorption under compression. Mater Lett 61:979–982. https://doi.org/10.1016/j.matlet.2006.06.033

    Article  Google Scholar 

  5. Zhang S, Clowers K, Kohstall C, Yu YJ (2005) Effects of various midsole densities of basketball shoes on impact attenuation during landing activities. J Appl Biomech 21:3–17. https://doi.org/10.1123/jab.21.1.3

    Article  Google Scholar 

  6. Ji J, Li Y, Zhao J (2012) Reverse analysis for determining the stiffness characteristics of suspension spring with variable pitch and wire diameter. Advanced Materials Research.:783–787

  7. Thakare P, Kadlag VL (2017) Design and Analysis of Helical Compression Spring for Special Purpose Application. Int J Adv Res Innov Ideas Educ 3:849–858

    Google Scholar 

  8. Worobets J, Wannop JW, Tomaras E, Stefanyshyn D (2014) Softer and more resilient running shoe cushioning properties enhance running economy. Footwear Sci 6:147–153. https://doi.org/10.1080/19424280.2014.918184

    Article  Google Scholar 

  9. Mahesh CC, Ramachandran KI (2018) Finite element modelling of functionally graded elastomers for the application of diabetic footwear. In: Materials Today: Proceedings. Elsevier Ltd, pp 16367–16377

  10. Weeger O, Boddeti N, Yeung SK et al (2019) Digital design and nonlinear simulation for additive manufacturing of soft lattice structures. Addit Manuf 25:39–49. https://doi.org/10.1016/j.addma.2018.11.003

    Article  Google Scholar 

  11. Brennan-Craddock J, Brackett D, Wildman R, Hague R The design of impact absorbing structures for additive manufacture v7. J Phys Conf Ser open access. https://doi.org/10.1088/1742-6596/382/1/012042

  12. Lombardino TD (1996) Spring-air shock absorbtion and energy return device for shoes

  13. Smith R (1996) Shoe heel spring

  14. Seigle W (1951) Spring cushioning insole

  15. Gallegos AZ (1995) Spring athletic shoe. 435:79

    Google Scholar 

  16. Manville H (1947) Cushioned shoe sole

  17. Shoes A (2017) The Gentlemen’s Spring-Loaded Running Shoes - A running shoes with shock-absorbing springs that relieve the stress and fatigue of running. https://www.boysathleticshoes.com/the-gentlemens-spring-loaded-running-shoes-arunning-shoes-with-shock-absorbing-springs-that-relieve-the-stress-and-fatigue-ofrunning/. Accessed 6 Jul 2020

  18. Cook SD, Kester MA, Brunet ME (1985) Shock absorption characteristics of running shoes. Am J Sports Med 13:248–253. https://doi.org/10.1177/036354658501300406

    Article  Google Scholar 

  19. Nigg BM, Segesser B (1992) Biomechanical and orthopedic concepts in sport shoe construction. Med Sci Sports Exerc 24:595–602

    Article  Google Scholar 

  20. Periyasamy R, Anand S (2013) The effect of foot arch on plantar pressure distribution during standing. J Med Eng Technol 37:342–347. https://doi.org/10.3109/03091902.2013.810788

    Article  Google Scholar 

  21. Liang TC, Lin JJ, Guo LY (2016) Plantar pressure detection with fiber bragg gratings sensing system. Sensors (Switzerland) 16. https://doi.org/10.3390/s16101766

  22. Leal R, Barreiros FM, Alves, L et al Additive manufacturing tooling for the automotive industry. https://doi.org/10.1007/s00170-017-0239-8

  23. Liu R, Wang Z, Sparks T et al (2017) Aerospace applications of laser additive manufacturing. In: Laser additive manufacturing: materials, design, technologies, and applications. Elsevier Inc., pp 351–371

  24. Nazir A, Abate KM, Kumar A, Jeng J-Y (2019) A state-of-the-art review on types, design, optimization, and additive manufacturing of cellular structures. Int J Adv Manuf Technol:1–22. https://doi.org/10.1007/s00170-019-04085-3

  25. Javaid M, Haleem A (2018) Additive manufacturing applications in orthopaedics: A review. J. Clin. Orthop. Trauma 9:202–206

    Article  Google Scholar 

  26. Jiang J, Xu X, Stringer J (2018) Support Structures for Additive Manufacturing: A Review. J Manuf Mater Process 2:64. https://doi.org/10.3390/jmmp2040064

    Article  Google Scholar 

  27. Carbon The perfect fit: Carbon + adidas collaborate to upend athletic footwear. https://www.carbon3d.com/stories/adidas/. Accessed 20 Feb 2019

  28. Jiang J, Xu X, Xiong Y et al (2020) A novel strategy for multi-part production in additive manufacturing. Int J Adv Manuf Technol 109:1237–1248. https://doi.org/10.1007/s00170-020-05734-8

    Article  Google Scholar 

  29. Jiang J, Ma Y (2020) Path Planning Strategies to Optimize Accuracy, Quality, Build Time and Material Use in Additive Manufacturing: A Review. Micromachines 11:633. https://doi.org/10.3390/mi11070633

    Article  Google Scholar 

  30. Jiang J (2020) A novel fabrication strategy for additive manufacturing processes. J Clean Prod 272:122916. https://doi.org/10.1016/j.jclepro.2020.122916

    Article  Google Scholar 

  31. Tilton M, Lewis GS, Manogharan GP (2018) Additive manufacturing of orthopedic implants. In: Orthopedic Biomaterials: Progress in Biology, Manufacturing, and Industry Perspectives. Springer International Publishing, Cham, pp 21–55

    Chapter  Google Scholar 

  32. Hensleigh RM, Cui H, Oakdale JS et al (2018) Additive manufacturing of complex micro-architected graphene aerogels. Mater Horizons 5:1035–1041. https://doi.org/10.1039/c8mh00668g

    Article  Google Scholar 

  33. Plocher J, Panesar A (2020) Mechanical Performance of Additively Manufactured Fiber-Reinforced Functionally Graded Lattices. JOM 72:1292–1298. https://doi.org/10.1007/s11837-019-03961-3

    Article  Google Scholar 

  34. Geiringer SR (1995) The biomechanics of running. J Back Musculoskelet Rehabil 5:273–279. https://doi.org/10.3233/BMR-1995-5404

    Article  Google Scholar 

  35. Drougkas D, Karatsis E, Papagiannaki M, et al (2018) Gait-specific optimization of composite footwear midsole systems, facilitated through dynamic finite element modelling. https://doi.org/10.1155/2018/6520314

  36. Vandi K (2016) Competitive Edge Physical Therapy: Why Shock Absorption In Running Is NOT About The Shoes. https://www.compedgept.com/blog/why-shockabsorption-in-running-is-not-about-the-shoes. Accessed 6 Jul 2020

  37. Tessutti V, Ribeiro AP, Trombini-Souza F, Sacco ICN (2012) Attenuation of foot pressure during running on four different surfaces: Asphalt, concrete, rubber, and natural grass. J Sports Sci 30:1545–1550. https://doi.org/10.1080/02640414.2012.713975

    Article  Google Scholar 

  38. Sterzing T, Schweiger V, Ding R et al (2013) Influence of rearfoot and forefoot midsole hardness on biomechanical and perception variables during heel-toe running. Footwear Sci 5:71–79. https://doi.org/10.1080/19424280.2012.757810

    Article  Google Scholar 

  39. Richard G, Budynas JKN (2011) Shigley's Mechanical Engineering Design 8th Edition, 10th edn. McGraw-Hill Education, New York, USA

    Google Scholar 

  40. MITCalc (2018) Spring Calculation. www.mitcalc.com. Accessed 6 Jul 2020

  41. Creo Software: PTC’s 3D Modeling CAD software | EACPDS

  42. Dong G, Tessier D, Zhao YF (2019) Design of shoe soles using lattice structures fabricated by additive manufacturing. Proc Des Soc Int Conf Eng Des 1:719–728. https://doi.org/10.1017/dsi.2019.76

    Article  Google Scholar 

  43. ASTM. AS for T and M (2014) Designation: D638-14 standard test method for tensile properties of plastics. Astm 82:1–15. https://doi.org/10.1520/D0638-14

    Article  Google Scholar 

  44. Callister WD, David Rethwisch JG Materials science and engineering

  45. Nazir A, Jeng JY (2019) A high-speed additive manufacturing approach for achieving high printing speed and accuracy. Proc Inst Mech Eng Part C J Mech Eng Sci. https://doi.org/10.1177/0954406219861664

  46. HP 3D Jet Fusion 4200 - Commercial & Industrial 3D Printer | HP® Official Site

  47. O’Connor HJ, Dickson AN, Dowling DP (2018) Evaluation of the mechanical performance of polymer parts fabricated using a production scale multi jet fusion printing process. Addit Manuf 22:381–387. https://doi.org/10.1016/J.ADDMA.2018.05.035

    Article  Google Scholar 

  48. Schenk CA, Schuëller GI (2003) Buckling analysis of cylindrical shells with random geometric imperfections. Int J Non Linear Mech 38:1119–1132. https://doi.org/10.1016/S0020-7462(02)00057-4

    Article  MATH  Google Scholar 

  49. Albertin U, Wunderlich W (2000) Buckling Design of Imperfect Spherical Shells. In: Papadrakakis M, Samartin A, Onate E (eds) Proceedings of the International Conference IASS-IACM. ISASR-NTUA, pp 1–20

  50. Li Y-W, Elishakoff I, Starnes JH, Bushnell D (1997) Effect of the thickness variation and initial imperfection on buckling of composite cylindrical shells: Asymptotic analysis and numerical results by BOSOR4 and PANDA2. Int J Solids Struct 34:3755–3767. https://doi.org/10.1016/S0020-7683(96)00230-2

    Article  MATH  Google Scholar 

  51. Craft G, Nussbaum J, Crane N, Harmon JP (2018) Impact of extended sintering times on mechanical properties in PA-12 parts produced by powderbed fusion processes. Addit Manuf 22:800–806. https://doi.org/10.1016/j.addma.2018.06.028

    Article  Google Scholar 

  52. Holzmond O, Li X (2017) In situ real time defect detection of 3D printed parts. Addit Manuf 17:135–142. https://doi.org/10.1016/j.addma.2017.08.003

    Article  Google Scholar 

  53. Fayazbakhsh K, Movahedi M, Kalman J (2019) The impact of defects on tensile properties of 3D printed parts manufactured by fused filament fabrication. Mater Today Commun 18:140–148. https://doi.org/10.1016/j.mtcomm.2018.12.003

    Article  Google Scholar 

  54. Nazir A, Ali M, Hsieh C-H, Jeng J-Y (2020) Investigation of stiffness and energy absorption of variable dimension helical springs fabricated using multijet fusion technology. Int J Adv Manuf Technol:1–12. https://doi.org/10.1007/s00170-020-06061-8

  55. Schaedler TA, Jacobsen AJ, Torrents A et al (2011) Ultralight metallic microlattices. Science 334:962–965. https://doi.org/10.1126/science.1211649

    Article  Google Scholar 

  56. Lin D, Zhou C (2017) Guinness World Records names graphene aerogel as world’s least dense 3-D printed structure. https://phys.org/news/2017-06-guinness-world-grapheneaerogel-dense.html. Accessed 6 Jul 2020

  57. Hrubesh TMT, LW (1992) Transparent ultralow-density silica aerogels prepared by a two-step sol-gel process. 145:44–50

  58. Verdooren A, Chan HM, Grenestedt JL et al (2006) Fabrication of low-density ferrous metallic foams by reduction of chemically bonded ceramic foams. J Am Ceram Soc 89:3101–3106. https://doi.org/10.1111/j.1551-2916.2006.01225.x

    Article  Google Scholar 

  59. Tappan BC, Huynh MH, Hiskey MA et al (2006) Ultralow-density nanostructured metal foams: Combustion synthesis, morphology, and composition. J Am Chem Soc 128:6589–6594. https://doi.org/10.1021/ja056550k

    Article  Google Scholar 

  60. Singhal P, Small W, Rodriguez JN, et al (2012) Ultra low density amorphous shape Memory polymer foams. Ultra low density amorphous shape memory polymer foams. Philadelphia

  61. Zhang L, Yilmaz ED, Schjødt-Thomsen J et al (2011) MWNT reinforced polyurethane foam: Processing, characterization and modelling of mechanical properties. Compos Sci Technol 71:877–884. https://doi.org/10.1016/j.compscitech.2011.02.002

    Article  Google Scholar 

  62. Defonseka C (2016) Practical guide to water-blown cellular polymers, Ist. Smithers Rapra Technology

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Funding

This work was financially supported by the High-Speed 3D Printing Research Center (Grant No. 108P012) from the Featured Areas Research Center Program within the framework of the Higher Education Sprout Project by the Minister of Education (MOE) Taiwan.

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Authors and Affiliations

  1. High Speed 3D Printing Research Center, National Taiwan University of Science and Technology, No. 43, Section 4, Keelung Road, Taipei, 106, Taiwan, Republic of China

    Mubasher Ali, Aamer Nazir & Jeng-Ywan Jeng

  2. Department of Mechanical Engineering, National Taiwan University of Science and Technology, No. 43, Section 4, Keelung Road, Taipei, 106, Taiwan, Republic of China

    Mubasher Ali, Aamer Nazir & Jeng-Ywan Jeng

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  1. Mubasher Ali
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Correspondence to Jeng-Ywan Jeng.

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Ali, M., Nazir, A. & Jeng, JY. Mechanical performance of additive manufactured shoe midsole designed using variable-dimension helical springs. Int J Adv Manuf Technol 111, 3273–3292 (2020). https://doi.org/10.1007/s00170-020-06227-4

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