Building implicit-surface-based composite porous architectures

Nature‐inspired materials based on triply periodic minimal surfaces (TPMS) are very attractive in many engineering disciplines because of their topology‐driven properties. However, their adoption across different research and engineering fields is limited by the complexity of their design process. In this work, we present MSLattice, a software that allows users to design uniform, and functionally grade lattices and surfaces based on TPMS using two approaches, namely, the sheet networks and solid networks. The software allows users to control the type of TPMS topology, relative density, cell size, relative density grading, cell size grading, and hybridization between lattices. These features make MSLattice a complete design platform for users in different engineering disciplines, especially in applications that employ additive manufacturing (3D printing) and computational modeling. We demonstrate the capability of the software using several examples.

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“…where the weight functions w i ( x ) are defined by 49

w_{i} ((), x) = \frac{1 + \exp false(k ((), ∥ x - x_{i} ∥^{2})}{\sum_{j = 1}^{n} 1 + \exp false(k ((), ∥ x - x_{j} ∥^{2})}

…”

Section: Methodsmentioning

confidence: 99%

MSLattice: A free software for generating uniform and graded lattices based on triply periodic minimal surfaces

Al‐Ketan

Al‐Rub

2020

Mat Design & Process Comms

156

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“…Methodologies, such as the image-based method [21,81], implicit function-based surface generation [82,83], space fitting curve [84], and CAD-based approach [85][86][87][88], are used to construct TPMS-based structures. In this work, implicit function-based surface generation was employed to generate P and G surfaces.…”

Section: Mathematical Description and Generation Of Tpms Unit Cellsmentioning

confidence: 99%

Design and Analysis of Biomedical Scaffolds Using TPMS-Based Porous Structures Inspired from Additive Manufacturing

et al. 2022

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Gyroid (G) and primitive (P) porous structures have multiple application areas, ranging from thermal to mechanical, and fall in the complex triply periodic minimal surface (TPMS) category. Such intricate bioinspired constructs are gaining attention because they meet both biological and mechanical requirements for osseous reconstruction. The study aimed to develop G and P structures with varying porosity levels from 40% to 80% by modulating the strut thickness to proportionally resemble the stiffness of host tissue. The performance characteristics were evaluated using Ti6Al4V and important relationships between feature dimension, strut thickness, porosity, and stiffness were established. Numerical results showed that the studied porous structures could decrease stiffness from 107 GPa (stiffness of Ti6Al4V) to the range between 4.21 GPa to 29.63 GPa of varying porosities, which matches the human bone stiffness range. Furthermore, using this foundation, a subject-specific scaffold (made of P unit cells with an 80% porosity) was developed to reconstruct segmental bone defect (SBD) of the human femur, demonstrating a significant decrease in the stress shielding effect. Stress transfer on the bone surrounded by a P scaffold was compared with a solid implant which showed a net increase of stress transfer of 76% with the use of P scaffold. In the conclusion, future concerns and recommendations are suggested.

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“…Several approaches have been proposed for creating heterogeneous lattice structures [6][7][8][9], i.e., hybrid [10][11][12][13], stochastic [14], functionally graded [15][16][17][18][19], and multi-scale structures, or their combinations. Yoo introduced methods for controlling pore size distribution, developing functionally graded scaffolds and hierarchical porous structures, and designing multi-void TPMS-based scaffolds [20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

A novel lattice structure design approach based on Schwarz Primitive triply periodic minimal surfaces

Karamooz-Ravari

2024

Phys. Scr.

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In recent years, lattice structures based on triply periodic minimal surfaces have attracted the attention of researchers worldwide due to their exceptional geometrical and mechanical features. In this paper, using two distinct implicit functions for the rotation angle and the axis of rotation, the surface points of the Schwarz’ Primitive cellular lattice are moved to a new position to construct some novel lattices. Various cellular lattices are then generated by manipulating different design parameters and investigated using finite element method to evaluate porosity, surface-to-volume ratio, elastic modulus and Zener ratio. The findings indicate that although the porosity doesn’t change profoundly by applying the transformation, the surface-to-volume ratio and elastic modulus increases and decreases respectively as the maximum rotation angle increases. In addition, Zener ratio exhibits non-linear variation with the transformation, potentially increasing or decreasing by increasing the maximum rotation angle, depending on other parameters. The maximum difference between the values of surface-to-volume ratio, elastic modulus, and Zener ratio of the novel lattices and those of the original one is 16.9 % (for one case it decreases by 68.7 %), 68.5 %, and 45.6 %, respectively. These observations suggest that the proposed method might presents significant potential for facilitating the creation of innovative shell-based lattice structures.

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Building implicit-surface-based composite porous architectures

Cited by 23 publications

References 27 publications

MSLattice: A free software for generating uniform and graded lattices based on triply periodic minimal surfaces

MSLattice: A free software for generating uniform and graded lattices based on triply periodic minimal surfaces

Design and Analysis of Biomedical Scaffolds Using TPMS-Based Porous Structures Inspired from Additive Manufacturing

A novel lattice structure design approach based on Schwarz Primitive triply periodic minimal surfaces

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