A review of the mechanical characteristics and applications of structures designed based on triply periodic minimal surfaces and their modeling methods
Minimal surfaces are a special type of geometric surfaces whose sum of main curvatures in two directions at any point is equal to zero. Among the most important types of these levels, we can mention the minimal Schwarz levels including Primitive, Diamond, Gyroid and I-WP. Among the outstanding applications of these surfaces, we can mention the design and construction of light structures, filtration, insulators, catalysts, absorbents, as well as medical applications such as the production of artificial bones and implants. In this research, the mechanical properties of three-dimensional structures created by the repetition of minimal unit cells, such as strength and stiffness, as well as their ability to absorb energy, fatigue and durability, have been investigated. Also, the applications of these surfaces in the fields of medical, structural, fluids and heat transfer and automotive engineering have been investigated. In the following, the simulation and modeling methods of these surfaces, which are required in finite element and 3D printing, are presented. Three dimensional periodic minimal surfaces have a high potential for use in various industrial and medical fields due to their exceptional features, including high surface-to-volume ratio, stiffness-to-weight ratio, and strength-to-weight ratio to present new options to researchers and engineers in material selection charts.
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