Numerical study on the effect of geometry on mechanical behavior of triply periodic minimal surfaces

Rezapourian, Mansoureh; Kamboj, Nikhil; Hussainova, Irina

doi:10.1088/1757-899x/1140/1/012038

Cited by 9 publications

(4 citation statements)

References 14 publications

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“…In addition to truss- and plate-based lattices, shell-based lattices consisting of periodic and nonintersecting smooth surfaces have also emerged in recent years ( 24 – 32 ). Most studies on the shell architecture have focused on triply periodic minimal surfaces (TPMSs; common examples include Schwarz P, Schwarz D, and gyroid surfaces) ( 33 , 34 ), which have a minimized surface area within a given boundary and zero mean curvature at each point.…”

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confidence: 99%

“…Ti-6Al-4V lattices with Schwarz P, Neovius, and I-WP topologies have been fabricated through selective laser melting. These lattices have shell thicknesses of 300 to 500 μm, relative densities of 7.5 to 22.3%, and compressive strengths of 10.0 to 73.1 MPa ( 30 ). Recent finite element (FE) simulations showed the variations of various elastic and plastic properties (such as elastic constants, Zener ratio, yield strengths, and yield surfaces under different loading) of I-WP lattice with the relative density ( 31 ).…”

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confidence: 99%

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Achieving the theoretical limit of strength in shell-based carbon nanolattices

Wang

Zhang

et al. 2022

Proc. Natl. Acad. Sci. U.S.A.

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Recent developments in mechanical metamaterials exemplify a new paradigm shift called mechanomaterials, in which mechanical forces and designed geometries are proactively deployed to program material properties at multiple scales. Here, we designed shell-based micro-/nanolattices with I-WP (Schoen’s I-graph–wrapped package) and Neovius minimal surface topologies. Following the designed topologies, polymeric microlattices were fabricated via projection microstereolithography or two-photon lithography, and pyrolytic carbon nanolattices were created through two-photon lithography and subsequent pyrolysis. The shell thickness of created lattice metamaterials varies over three orders of magnitude from a few hundred nanometers to a few hundred micrometers, covering a wider range of relative densities than most plate-based micro-/nanolattices. In situ compression tests showed that the measured modulus and strength of our shell-based micro-/nanolattices with I-WP topology are superior to those of the optimized plate-based lattices with cubic and octet plate unit cells and truss-based lattices. More strikingly, when the density is larger than 0.53 g cm −3 , the strength of shell-based pyrolytic carbon nanolattices with I-WP topology was found to achieve its theoretical limit. In addition, our shell-based carbon nanolattices exhibited an ultrahigh strength of 3.52 GPa, an ultralarge fracture strain of 23%, and an ultrahigh specific strength of 4.42 GPa g −1 cm 3 , surpassing all previous micro-/nanolattices at comparable densities. These unprecedented properties can be attributed to the designed topologies inducing relatively uniform strain energy distributions and avoiding stress concentrations as well as the nanoscale feature size. Our study demonstrates a mechanomaterial route to design and synthesize micro-/nanoarchitected materials.

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confidence: 99%

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confidence: 99%

Achieving the theoretical limit of strength in shell-based carbon nanolattices

Wang

Zhang

et al. 2022

Proc. Natl. Acad. Sci. U.S.A.

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“…One solution can be to fabricate a triple periodic minimal surface (TPMS) by improving the architectural design through ceramic materials to withstand mechanical loads and significantly increase the permeability of body fluids. The metal porous TPMS can be easily fabricated and are well known for BTE [46]. However, on the contrary, there is very limited progress and development of TPMS bioceramics surface, although there is a recent study existing in the literature.…”

Section: Discussion and Potential Developmentsmentioning

confidence: 99%

Bioinert ceramics scaffolds for bone tissue engineering by laser-based powder bed fusion: a preliminary review

Kamboj,

Piili,

Ganvir

et al. 2023

IOP Conf. Ser.: Mater. Sci. Eng.

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The implementation of laser powder bed fusion (PBF-LB) on ceramics is far more demanding than their metallic and polymeric counterparts for bone tissue engineering (BTE). The review will shed light on bioinert ceramics-based biomaterials manufacturing through PBF-LB incorporating alumina and yttria-stabilized zirconia as oxide-based ceramics and nitride-based ceramics as non-oxide-based ceramics with particular prominence on their properties and requirements for biomedical devices and BTE. The review paper will also classify bioinert scaffolds processed through PBF-LB as a medium to manufacture drug delivery systems (DDS) and to ameliorate critical-sized bone defects based on the fracture site length of the bone with the various modes of functionalization through the incorporation of drugs, stem cells, and growth factors for personalized medicine.

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“…One of the solutions is the development of a triple periodic minimal surface (TPMS) through an architectural design that would allow mechanical loads inserted into the structure to be withstood and the permeability of body fluids to be significantly increased. Metal porous TPMSs can be easily fabricated and are well known for BTE [173][174][175][176][177][178][179]. However, on the other hand, there is very limited progress and development of TPMS bioactive ceramic surfaces, although there are some recent studies in the literature [76,180,181].…”

Section: Conclusion Remarks and Potential Developmentsmentioning

confidence: 99%

Bioactive Ceramic Scaffolds for Bone Tissue Engineering by Powder Bed Selective Laser Processing: A Review

2021

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The implementation of a powder bed selective laser processing (PBSLP) technique for bioactive ceramics, including selective laser sintering and melting (SLM/SLS), a laser powder bed fusion (L-PBF) approach is far more challenging when compared to its metallic and polymeric counterparts for the fabrication of biomedical materials. Direct PBSLP can offer binder-free fabrication of bioactive scaffolds without involving postprocessing techniques. This review explicitly focuses on the PBSLP technique for bioactive ceramics and encompasses a detailed overview of the PBSLP process and the general requirements and properties of the bioactive scaffolds for bone tissue growth. The bioactive ceramics enclosing calcium phosphate (CaP) and calcium silicates (CS) and their respective composite scaffolds processed through PBSLP are also extensively discussed. This review paper also categorizes the bone regeneration strategies of the bioactive scaffolds processed through PBSLP with the various modes of functionalization through the incorporation of drugs, stem cells, and growth factors to ameliorate critical-sized bone defects based on the fracture site length for personalized medicine.

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Numerical study on the effect of geometry on mechanical behavior of triply periodic minimal surfaces

Cited by 9 publications

References 14 publications

Achieving the theoretical limit of strength in shell-based carbon nanolattices

Achieving the theoretical limit of strength in shell-based carbon nanolattices

Bioinert ceramics scaffolds for bone tissue engineering by laser-based powder bed fusion: a preliminary review

Bioactive Ceramic Scaffolds for Bone Tissue Engineering by Powder Bed Selective Laser Processing: A Review

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