Skip to main content
Top

2024 | OriginalPaper | Chapter

Mechanics of Novel Double-Rounded-V Hierarchical Auxetic Structure: Finite Element Analysis and Experiments Using Three-Dimensional Digital Image Correlation

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Auxetic design is increasingly being used in applications that demand high strength-to-weight ratio. Auxetic structures are also used for crash safety and cushioning applications. Hierarchical auxetic structures inspired by natural cellular structures show a negative Poisson ratio. This phenomenon is caused by inherent geometric constraints in these structures. Due to the advancements in additive manufacturing, high-performance computing, and shape optimization algorithms, developing high-performance auxetic structures has emerged as an active area of research. Recently, a sinusoidal design of repeating cell with smooth and curved members, referred to as double-U hierarchical (DUH) structure, has been proved to perform better than the traditional double-V hierarchical (DVH) structure. However, the possibility of improving the existing DVH design has not been explored in the literature. In the present work, we fill this research gap by conducting a systematic study wherein the extent of curviness and roundness in its unit cell is varied and evaluated using finite element analysis and experiments. We call our improved version of DVH as DRVH (double-rounded-V hierarchical) auxetic structure. Finite element analyses of DUH and DRVH structures are conducted by simulating quasi-static loading (0.16667 mm/s) and impact loading (1,00,000 mm/s) conditions. The total simulation time is 30 s for quasi-static loading, whereas it is 0.00005 s for impact loading when a 5-mm displacement is applied at one end of the DUH and DRVH auxetic structures. The comparative analyses are carried out by evaluating internal energy, plastic deformation, kinetic energy, total energy, displacements, contact forces, reaction forces, and stress values. History and field outputs are requested at every 0.5 s time increment for quasi-static loading, whereas they are requested at every 10−6 s for impact loading. Experiments are conducted on DRVH structures manufactured through fused deposition modeling (FDM), which is the most commonly used additive manufacturing technology. The filament used in this work is PLA Flax filament supplied by Nanovia®. It is a biodegradable material, which is comprised of poly lactic acid (PLA) and Flax fiber. Three-dimensional digital image correlation is performed to validate the deformation of DRVH structure. The combination of straightness and roundness of the DRVH members not only provides more room for absorbing impact energy than the DUH design but also reduces peak stress and enhances auxetic behavior and static collapse stress.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
31.
go back to reference Guo, M.F., Yang, H., Ma, L.: 3D lightweight double arrow-head plate-lattice auxetic structures with enhanced stiffness and energy absorption performance. Compos. Struct. 290, 115484 (2022)CrossRef Guo, M.F., Yang, H., Ma, L.: 3D lightweight double arrow-head plate-lattice auxetic structures with enhanced stiffness and energy absorption performance. Compos. Struct. 290, 115484 (2022)CrossRef
36.
go back to reference Baldi, A., Santucci, P.M., Carta, G., Brun, M., Marongiu, G., Lai, D.: On the Miura Ori modal response: a look throughout the experimental side. In: Advancements in Optical Methods, Digital Image Correlation & Micro-and Nanomechanics, Volume 4: Proceedings of the 2022 Annual Conference on Experimental and Applied Mechanics, pp. 37–42. Springer International Publishing, Cham (2023). https://doi.org/10.1007/978-3-031-17471-1_7CrossRef Baldi, A., Santucci, P.M., Carta, G., Brun, M., Marongiu, G., Lai, D.: On the Miura Ori modal response: a look throughout the experimental side. In: Advancements in Optical Methods, Digital Image Correlation & Micro-and Nanomechanics, Volume 4: Proceedings of the 2022 Annual Conference on Experimental and Applied Mechanics, pp. 37–42. Springer International Publishing, Cham (2023). https://​doi.​org/​10.​1007/​978-3-031-17471-1_​7CrossRef
37.
go back to reference Grednev, S., Bronder, S., Kunz, F., Reis, M., Kirsch, S.M., Welsch, F., Seelecke, S., Diebels, S., Jung, A.: Applicability of correlated digital image correlation and infrared thermography for measuring mesomechanical deformation in foams and auxetics. GAMM-Mitteilungen. 45(3–4), e202200014 (2022). https://doi.org/10.1002/gamm.202200014CrossRef Grednev, S., Bronder, S., Kunz, F., Reis, M., Kirsch, S.M., Welsch, F., Seelecke, S., Diebels, S., Jung, A.: Applicability of correlated digital image correlation and infrared thermography for measuring mesomechanical deformation in foams and auxetics. GAMM-Mitteilungen. 45(3–4), e202200014 (2022). https://​doi.​org/​10.​1002/​gamm.​202200014CrossRef
40.
go back to reference Schreier, H., Orteu, J.J., Sutton, M.A.: Image Correlation for Shape, Motion and Deformation Measurements: Basic Concepts, Theory and Applications, vol. 1. Springer-Verlag US, Boston (2009)CrossRef Schreier, H., Orteu, J.J., Sutton, M.A.: Image Correlation for Shape, Motion and Deformation Measurements: Basic Concepts, Theory and Applications, vol. 1. Springer-Verlag US, Boston (2009)CrossRef
41.
go back to reference Zhu, T., Sutton, M.A., Li, N., Orteu, J.J., Cornille, N., Li, X., Reynolds, A.P.: Quantitative stereovision in a scanning electron microscope. Exp. Mech. 51, 97–109 (2011)CrossRef Zhu, T., Sutton, M.A., Li, N., Orteu, J.J., Cornille, N., Li, X., Reynolds, A.P.: Quantitative stereovision in a scanning electron microscope. Exp. Mech. 51, 97–109 (2011)CrossRef
42.
go back to reference Khokhlov, M., Fischer, A., Rittel, D.: Multi-scale stereo-photogrammetry system for fractographic analysis using scanning electron microscopy. Exp. Mech. 52, 975–991 (2012)CrossRef Khokhlov, M., Fischer, A., Rittel, D.: Multi-scale stereo-photogrammetry system for fractographic analysis using scanning electron microscopy. Exp. Mech. 52, 975–991 (2012)CrossRef
43.
go back to reference Schreier, H.W., Garcia, D., Sutton, M.A.: Advances in light microscope stereo vision. Exp. Mech. 44, 278–288 (2004)CrossRef Schreier, H.W., Garcia, D., Sutton, M.A.: Advances in light microscope stereo vision. Exp. Mech. 44, 278–288 (2004)CrossRef
44.
go back to reference Hu, Y., Chen, Q., Tao, T., Li, H., Zuo, C.: Absolute three-dimensional micro surface profile measurement based on a Greenough-type stereomicroscope. Meas. Sci. Technol. 28(4), 045004 (2017)CrossRef Hu, Y., Chen, Q., Tao, T., Li, H., Zuo, C.: Absolute three-dimensional micro surface profile measurement based on a Greenough-type stereomicroscope. Meas. Sci. Technol. 28(4), 045004 (2017)CrossRef
45.
go back to reference Genovese, K., Leeflang, S., Zadpoor, A.A.: Microscopic full-field three-dimensional strain measurement during the mechanical testing of additively manufactured porous biomaterials. J. Mech. Behav. Biomed. Mater. 69, 327–341 (2017)CrossRef Genovese, K., Leeflang, S., Zadpoor, A.A.: Microscopic full-field three-dimensional strain measurement during the mechanical testing of additively manufactured porous biomaterials. J. Mech. Behav. Biomed. Mater. 69, 327–341 (2017)CrossRef
46.
go back to reference Thiruselvam, N.I., Subramanian, S.J.: Feature-assisted stereo correlation. Strain. 55(5), e12315 (2019)CrossRef Thiruselvam, N.I., Subramanian, S.J.: Feature-assisted stereo correlation. Strain. 55(5), e12315 (2019)CrossRef
47.
go back to reference Thiruselvam, N.I., Subramanian, S.J.: On improving the accuracy of self-calibrated stereo digital image correlation system. Meas. Sci. Technol. 32(2), 025201 (2020)CrossRef Thiruselvam, N.I., Subramanian, S.J.: On improving the accuracy of self-calibrated stereo digital image correlation system. Meas. Sci. Technol. 32(2), 025201 (2020)CrossRef
48.
go back to reference Sharma, S., Thiruselvam, N.I., Subramanian, S.J., Kumar, G.S.: Computation of strains from stereo digital image correlation using principal component analysis. Meas. Sci. Technol. 32(10), 105201 (2021)CrossRef Sharma, S., Thiruselvam, N.I., Subramanian, S.J., Kumar, G.S.: Computation of strains from stereo digital image correlation using principal component analysis. Meas. Sci. Technol. 32(10), 105201 (2021)CrossRef
49.
go back to reference Thiruselvam, N.I., Jeyaraam, R., Subramanian, S.J., Sankaran, S.: Deformation heterogeneity in copper oligocrystals using high-resolution stereo DIC. Materialia. 18, 101164 (2021)CrossRef Thiruselvam, N.I., Jeyaraam, R., Subramanian, S.J., Sankaran, S.: Deformation heterogeneity in copper oligocrystals using high-resolution stereo DIC. Materialia. 18, 101164 (2021)CrossRef
Metadata
Title
Mechanics of Novel Double-Rounded-V Hierarchical Auxetic Structure: Finite Element Analysis and Experiments Using Three-Dimensional Digital Image Correlation
Authors
Rajesh Kumar
Iniyan Thiruselvam
Copyright Year
2024
DOI
https://doi.org/10.1007/978-3-031-50474-7_5

Premium Partners