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Additively manufactured mechanical metamaterials based on triply periodic minimal surfaces: Performance, challenges, and application

Mechanics of Advanced Materials and Structures, 2021
Lattice structures with architecture based on triply periodic minimal surfaces (TPMS) have recently attracted much attention due to their mathematically controlled topologies, which give rise to predefined and fascinating mechanical properties.
Deepak Kumar Sharma, S. Hiremath
semanticscholar   +1 more source

Heat transfer performance of a finned metal foam-phase change material (FMF-PCM) system incorporating triply periodic minimal surfaces (TPMS)

, 2021
Metal foams have been used extensively to enhance the thermal conductivity of phase change materials (PCMs) in thermal energy storage (TESs) systems and thermal management systems (TMSs). The conventional metal foam structure, referred to commonly as the
Z. Qureshi   +4 more
semanticscholar   +1 more source

Computing minimal surfaces with differential forms

ACM Transactions on Graphics, 2021
We describe a new algorithm that solves a classical geometric problem: Find a surface of minimal area bordered by an arbitrarily prescribed boundary curve. Existing numerical methods face challenges due to the non-convexity of the problem.
Stephanie Wang, Albert Chern
semanticscholar   +1 more source

Mechanical and energy absorption characteristics of additively manufactured functionally graded sheet lattice structures with minimal surfaces

International Journal of Mechanical Sciences, 2020
Functionally graded (FG) lattice structures have attracted attention for their potential application in lightweighting and energy absorption. In this study, functionally graded sheet (FGS) structures with primitive (P) and gyroid (G) minimal surfaces ...
Miao Zhao   +5 more
semanticscholar   +1 more source

Triply periodic minimal surfaces sandwich structures subjected to shock impact

, 2020
Triply periodic minimal surfaces are cellular structures that naturally inspired continuous non-self-intersecting surfaces similar to bone microstructure with controllable mechanical properties.
P. Tran, Chenxi Peng
semanticscholar   +1 more source

Fluid Permeability of Graded Porosity Scaffolds Architectured with Minimal Surfaces.

ACS Biomaterials Science & Engineering, 2019
The natural local porosity variation in the native tissue can be replicated by graded porosity scaffolds. Scaffolds with radial porosity distribution can be a solution to improve both mechanical and biological functions of the biomimetic scaffolds.
Masoud Zhianmanesh   +2 more
semanticscholar   +1 more source

Quasicrystalline minimal surfaces

Physical Review B, 1994
Minimal surfaces are considered as alternatives to tilings in the search for simple mathematical objects that have the properties of a quasicrystal. The construction of such objects, it seems, has not been addressed before and we propose a solution in the form of a limiting process.
, Sheng, , Elser
openaire   +2 more sources

Permeability and mechanical properties of gradient porous PDMS scaffolds fabricated by 3D-printed sacrificial templates designed with minimal surfaces.

Acta Biomaterialia, 2019
In the present study, polydimethylsiloxane (PDMS) porous scaffolds are designed based on minimal surface architectures and fabricated through a low-cost and accessible sacrificial mold printing approach using a fused deposition modeling (FDM) 3D printer.
H. Montazerian   +8 more
semanticscholar   +1 more source

Triply Periodic Minimal Surfaces Sheet Scaffolds for Tissue Engineering Applications: An Optimization Approach toward Biomimetic Scaffold Design.

ACS Applied Bio Materials, 2018
Biomimetic scaffold design is gaining attention in the field of tissue engineering lately. Recently, triply periodic minimal surfaces (TPMSs) have attracted the attention of tissue engineering scientists for fabrication of biomimetic porous scaffolds ...
S. Vijayavenkataraman   +4 more
semanticscholar   +1 more source

Minimal Surfaces in a Cone

Annals of Global Analysis and Geometry, 2001
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openaire   +2 more sources

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