Catalog of triply periodic minimal surfaces, equation-based lattice structures, and their homogenized property data [PDF]
The use of lattice structure in the Design for Additive Manufacturing (DfAM) engineering practice offers the ability to tailor the properties (and therefore the response) of an engineered component independent of the material and overall geometry.
Joseph W. Fisher +4 more
doaj +3 more sources
Triply periodic minimal surfaces for thermo-mechanical protection [PDF]
Triply periodic minimal surface (TPMS) metamaterials show promise for thermal management systems but are challenging to integrate into existing packaging with strict mechanical requirements. Composite TPMS lattices may offer more control over thermal and
Samantha Cheung +5 more
doaj +3 more sources
Crystal-Inspired Cellular Metamaterials and Triply Periodic Minimal Surfaces [PDF]
Triply periodic minimal surfaces (TPMSs) are found in many natural objects including butterfly wings, sea urchins, and biological membranes. They simultaneously have zero mean curvature at every point and a crystallographic group symmetry. A metamaterial
Maxim Arsentev +8 more
doaj +4 more sources
Additively manufactured bioceramic scaffolds based on triply periodic minimal surfaces for bone regeneration [PDF]
The study focused on the effects of a triply periodic minimal surface (TPMS) scaffolds, varying in porosity, on the repair of mandibular defects in New Zealand white rabbits. Four TPMS configurations (40%, 50%, 60%, and 70% porosity) were fabricated with
Hong Zhu +10 more
doaj +4 more sources
Properties of Hyper-Elastic-Graded Triply Periodic Minimal Surfaces. [PDF]
The mechanical behaviors of three distinct lattice structures—Diamond, Gyroid, and Schwarz—synthesized through vat polymerization, were meticulously analyzed. This study aimed to elucidate the intricacies of these structures in terms of their stress–strain responses, energy absorption, and recovery characteristics.
Haney CW, Siller HR.
europepmc +4 more sources
Reflections concerning triply-periodic minimal surfaces. [PDF]
In recent decades, there has been an explosion in the number and variety of embedded triply-periodic minimal surfaces (TPMS) identified by mathematicians and materials scientists. Only the rare examples of low genus, however, are commonly invoked as shape templates in scientific applications.
Schoen AH.
europepmc +4 more sources
Structural design and performance study of primitive triply periodic minimal surfaces Ti6Al4V biomimetic scaffold [PDF]
This paper comprehensively evaluated the static mechanical compressive properties, permeability, and cell adhesion effect on the inner wall of the Primitive triply periodic minimal surface Ti6Al4V bionic scaffolds with different axial diameter ratios ...
Yaru Qin +5 more
doaj +2 more sources
Tensorial Minkowski functionals of triply periodic minimal surfaces. [PDF]
A fundamental understanding of the formation and properties of a complex spatial structure relies on robust quantitative tools to characterize morphology. A systematic approach to the characterization of average properties of anisotropic complex interfacial geometries is provided by integral geometry which furnishes a family of morphological ...
Mickel W, Schröder-Turk GE, Mecke K.
europepmc +5 more sources
Density-functional theory and triply-periodic minimal surfaces [PDF]
Several authors have suggested that the surfaces of vanishing potential generated by the electrostatic fields from a periodic distribution of point charges resemble triply-periodic minimal surfaces (TPMS) whose symmetry corresponds to the positions of the point charges.
Mengdi Yin +2 more
openalex +3 more sources
Design and biomechanical characteristics of porous meniscal implant structures using triply periodic minimal surfaces [PDF]
Background Artificial meniscal implants can be used to replace a severely injured meniscus after meniscectomy and restore the normal functionality of a knee joint.
Li-ya Zhu +6 more
doaj +2 more sources

