Mechanical Behavior of Microarchitected Metamaterials Based on Minimal Surfaces

  • Moustafa Al Safadi

Student thesis: Master's Thesis


Due to their capability in alleviating the density of fabrication-induced flaws and defects, two-photon polymerization techniques have allowed for the fabrication of metamaterials that bear properties closer to those from numerical simulations under ideal conditions than any preceding fabrication techniques. In this paper, novel stretching-dominated micro-lattices based on mathematically-driven sheet-based triply periodic minimal surfaces (TPMS) fabricated through two-photon lithography are investigated for their mechanical properties. The TPMS-based structures allow for better efficiency dictated by topology rather than composition. The fabrication, characterization and testing of different topologies are investigated herein; the S-Shape, CY, IWP and Primitive structures. Simulations based on an elastic-perfectly-plastic model are carried out using the finite element method, and the results are used as a benchmark for the experimental results. Our experimental results show that the S-Shape mechanically outperforms lightweight metamaterials reported in the literature, while the rest of the structures are comparable to the best performing in the literature. To expand on the design freedom of these TPMS-based lattices, topology design modifications, such as functional grading and novel multi-morphology designs, are introduced and explored.
Date of AwardMay 2019
Original languageAmerican English
SupervisorRashid Abu Al Rub (Supervisor)


  • Additive Manufacturing
  • 3D Printing
  • Triply-Periodic Minimal Surfaces
  • Micro-architectures
  • Lithography

Cite this