Prediction of Cellular Structure Mechanical Properties with the Geometry of Triply Periodic Minimal Surfaces (TPMS)

Abstract

The paper investigates the physical and mechanical properties of structures with the geometry of triply periodic minimal surfaces (TPMS). Test samples were made from polyamide using SLS (selective laser sintering) 3D printing technology, from polylactide using FDM (Fused deposition modeling) 3D printing technology, and from a photopolymer based on acrylates using LCD (liquid crystal display) technology; samples were made in the form of a cube with edge size 30 mm. The strength and energy-absorbing properties of TPMS-based cellular samples have been determined. To analyze the features of the geometry of the samples, the skeletal graph method was used. It is shown that this approach makes it possible to predict the physical and mechanical characteristics of products with TPMS geometry.

High-Throughput Screening of 3D-Printed Architected Materials Inspired by Crystal Lattices: Procedure, Challenges, and Mechanical Properties

“…The parameters of the obtained samples were compared with the parameters of several experimental works found in the literature. 61,62 Khiavi et al 61 studied the mechanical properties of PA12 strut-based cellular materials. Shevchenko et al 62 studied the mechanical properties of PA12 TPMS-based cellular materials.…”

“…61,62 Khiavi et al 61 studied the mechanical properties of PA12 strut-based cellular materials. Shevchenko et al 62 studied the mechanical properties of PA12 TPMS-based cellular materials. Additionally, it also follows from Figure 5 that the approximating lines for our structures and materials based on TPMS are close to each other, which allows us to conclude that using the "crystallomorphic design" it is possible to obtain a TPMS-like topology.…”

Geometric modeling of advanced cellular structures with skeletal graphs

“…This enhancement is a response to the growing need for more versatile and intricate design capabilities in geometric modeling, particularly in AM [65]. This approach leverages skeletal graphs, which serve as a backbone for representing the connectivity and structural integrity of these complex cellular forms [66]. The section is organized into several focused subsections, each addressing a specific aspect of this advanced modeling technique.…”

Energy absorption of PLA (Polylactic Acid) - based metamaterials manufactured by material extrusion: dynamic loads and shape recovery

“…The Diamond Lattice structure shows greater impact resistance, as the displacement ∆l is limited compared to other geometries and therefore more suitable to be tested under cyclic stress. In (Shevchenko et al, 2023), the Diamond structure fabricated from polylactic acid exhibits higher mechanical strength than the Nevious structure and higher energy absorption for strains of 30 %. The other structures, all belonging to the surfacebased category, show higher deviations, as well as more evident deformations once subjected to impact.…”