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Triply periodic minimal surfaces (TPMSs) play a vital role in the design of porous structures, with applications in bone tissue engineering, chemical engineering, and the creation of lightweight models. However, fabrication of TPMSs via…

图形学 · 计算机科学 2024-02-20 Gao Depeng , Zhang Yuanzhi , Lin Hongwei

Porous structures are intricate solid materials with numerous small pores, extensively used in fields like medicine, chemical engineering, and aerospace. However, the design of such structures using computer-aided tools is a time-consuming…

图形学 · 计算机科学 2024-02-20 Gao Depeng , Gao Yang , Lin Hongwei

Triple periodic minimal surfaces (TPMS) have garnered significant interest due to their structural efficiency and controllable geometry, making them suitable for a wide range of applications. This paper investigates the relationships…

微分几何 · 数学 2024-06-28 Sergei Ermolenko , Pavel Snopov

Triply Periodic Minimal Surface (TPMS) structures are attracting growing attention as promising geometries for next-generation high-performance heat exchangers (HXs), due to their continuous flow paths and high surface-area-to-volume ratio…

最优化与控制 · 数学 2025-10-14 Kaito Ohtani , Hiroki Kawabe , Kentaro Yaji , Kikuo Fujita , Vikrant Aute

Functionally graded porous plates have been validated as remarkable lightweight structures with excellent mechanical characteristics and numerous applications. With inspiration from the high strength-to-volume ratio of triply periodic…

材料科学 · 物理学 2023-04-11 H. Nguyen-Xuan , Kim Q. Tran , Chien H. Thai , Jaehong Lee

Porous structures are materials consisting of minuscule pores, where the microstructure morphology significantly impacts their macroscopic properties. Integrating different porous structures through a blending method is indispensable to…

图形学 · 计算机科学 2024-06-03 Depeng Gao , Yang Gao , Yuanzhi Zhang , Hongwei Lin

The optimization of porous infill structures via local volume constraints has become a popular approach in topology optimization. In some design settings, however, the iterative optimization process converges only slowly, or not at all even…

计算工程、金融与科学 · 计算机科学 2022-03-22 Junpeng Wang , Jun Wu , Rüdiger Westermann

Triply periodic minimal surface (TPMS) metamaterials characterized by mathematically-controlled topologies exhibit better mechanical properties compared to uniform structures. The unit cell topology of such metamaterials can be further…

计算工程、金融与科学 · 计算机科学 2023-03-20 Asha Viswanath , Diab W Abueidda , Mohamad Modrek , Kamran A Khan , Seid Koric , Rashid K. Abu Al-Rub

Triply periodic minimal surfaces (TPMS) are a class of metamaterials with a variety of applications and well-known primitive morphologies. We present a new method for discovering novel microscale TPMS structures with exceptional…

We consider the scaffold design optimization problem associated to the three dimensional, time dependent model for scaffold mediated bone regeneration considered in Dondl et al. (2021). We prove existence of optimal scaffold designs and…

偏微分方程分析 · 数学 2021-12-23 Patrick Dondl , Marius Zeinhofer

Porous structures are widely used in various industries because of their excellent properties. Porous surfaces have no thickness and should be thickened to sheet structures for further fabrication. However, conventional methods for…

计算几何 · 计算机科学 2022-12-21 Jiacong Yan , Hongwei Lin

Triply Periodic Minimal Surface (TPMS) structures have emerged as a new class of porous materials with variable geometries and favourable transport properties, making them promising for reactor internals in chemical engineering. However,…

We present a three dimensional, time dependent model for bone regeneration in the presence of porous scaffolds to bridge critical size bone defects. Our approach uses homogenized quantities, thus drastically reducing computational cost…

偏微分方程分析 · 数学 2021-01-25 Patrick Dondl , Patrina S. P. Poh , Marius Zeinhofer

Development of additive manufacturing in last decade greatly improves tissue engineering. During the manufacturing of porous scaffold, simplified but functionally equivalent models are getting focused for practically reasons. Scaffolds can…

图形学 · 计算机科学 2018-12-04 Ke Liu , Ye Guo , Zeyun Yu

Topological insulators show important properties, such as topological phase transitions and topological edge states. Although these properties and phenomena can be simulated by well-designed circuits, it is undoubtedly difficult to design…

应用物理 · 物理学 2024-07-19 Xi Chen , Jinyang Sun , Xiumei Wang , Maoxin Chen , Qingyuan Lin , Minggang Xia , Xingping Zhou

Topological semimetals (TSMs) featuring symmetry-protected band degeneracies have attracted considerable attention due to their exotic quantum properties and potential applications. While nodal line (NL) and nodal surface (NS) semimetals…

材料科学 · 物理学 2025-11-12 Xiao-jing Gao , Yanfeng Ge , Yan Gao

The modeling of flow and heat transfer in porous media systems have always been a challenge and, the extended Darcy transport models for flow and equilibrium and non-equilibrium energy models for heat transfer are being used for macro-level…

流体动力学 · 物理学 2022-05-10 Surendra Singh Rathore , Balkrishna Mehta , Pradeep Kumar , Mohammad Asfer

We consider a simple one-dimensional time-dependent model for bone regeneration in the presence of a bio-resorbable polymer scaffold. Within the framework of the model, we optimize the effective mechanical stiffness of the polymer scaffold…

组织与器官 · 定量生物学 2018-09-24 Patrina S. P. Poh , Dvina Valainis , Kaushik Bhattacharya , Martijn van Griensven , Patrick Dondl

As modern electronic devices are increasingly miniaturized and integrated, their performance relies more heavily on effective thermal management. Two-phase cooling methods enhanced by porous surfaces, which capitalize on thin-film…

机器学习 · 计算机科学 2023-10-31 Jonathan Tammer Eweis-LaBolle , Chuanning Zhao , Yoonjin Won , Ramin Bostanabad

Uniform flow distribution across parallel channels directly impacts the performance and efficiency of many fluid and energy systems. However, designing efficient flow manifolds that ensure uniform flow distribution remains a challenge. This…

流体动力学 · 物理学 2025-10-06 Sanjay Vermani , Nitish Anand
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