Mechanical properties of additively-manufactured sheet-based gyroidal stochastic cellular materials

Oraib Al-Ketan, Dong Wook Lee, Rashid K. Abu Al-Rub

Research output: Contribution to journalArticlepeer-review


The advancements of additive manufacturing enabled progressive investigations of many atomic lattice-mimicking structures, plate- and sheet-based cellular materials. While such materials showed promising mechanical and physical properties, they exhibit anisotropic properties. In this work, a design procedure to create partially closed sheet-based stochastic cellular materials based on implicit functions is presented. Different realizations of the proposed cellular materials have been developed. Finite element analyses (FEA) were employed to assess the mechanical properties and isotropy of the designed cellular materials. Experimentally, several samples were fabricated with a range of relative densities using powder bed fusion and 316 L Stainless Steel powder. The fabricated metallic stochastic samples and other periodic Gyroid samples were investigated for their compressive mechanical properties and their topology-property scaling laws were reported. Results of numerical simulations showed that the stochastic cellular materials exhibit isotropic properties when using nine control points and more. The experimental results showed that the stochastic cellular materials show a stretching-dominated mode of deformation where samples deform collectively with no shear band formation. However, it was found that periodic Gyroid samples exhibited superior mechanical properties to the proposed stochastic cellular materials. The current study opens the doors for further investigation of mathematically-designed metallic stochastic cellular materials and their deployment in different engineering disciplines.

Original languageEnglish (US)
Article number102418
JournalAdditive Manufacturing
StatePublished - Dec 2021


  • Cellular materials
  • Gyroid
  • Heterogeneous structures
  • Metamaterials
  • Minimal surfaces
  • Stochastic cellular materials

ASJC Scopus subject areas

  • Biomedical Engineering
  • General Materials Science
  • Engineering (miscellaneous)
  • Industrial and Manufacturing Engineering


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