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200 Results Found

  • Article
  • Open Access
6 Citations
2,504 Views
15 Pages

Influence of Structural Parameters on Mechanical Properties of Triply Periodic Minimal Surface Structure

  • Xiusi Chen,
  • Guoqin Sun,
  • Jiaqi Zhu,
  • Wei Kang,
  • Deguang Shang and
  • Zhanfeng Deng

31 January 2023

Titanium alloy is widely used in aerospace and other fields due to its low density, high specific strength, corrosion resistance, and other advantages. With the development of selective laser melting additive manufacturing technology, it is possible...

  • Review
  • Open Access
1,605 Views
53 Pages

An Overview of Additive Manufacturing of Triply Periodic Minimal Surface (TPMS) Structures

  • Md Sakhawat Hossain,
  • Md Mosharrof Hossain and
  • Sabrina Nilufar

14 December 2025

Triply periodic minimal surfaces (TPMS) are mathematically defined minimal surfaces that exhibit zero mean curvature and repeat periodically along all three Cartesian axes. They integrate mathematically defined geometry with extensive functional adju...

  • Article
  • Open Access
17 Citations
3,052 Views
15 Pages

12 October 2022

Triply periodic minimal surfaces (TPMS) became an effective method to design porous scaffolds in recent years due to their superior mechanical and other engineering properties. Since the advent of additive manufacturing (AM), different TPMS-based sca...

  • Article
  • Open Access
13 Citations
3,789 Views
18 Pages

Study on the Anisotropy of Triply Periodic Minimal Surface Porous Structures

  • Mingkang Zhang,
  • Jinwei Li,
  • Chang Liu,
  • Mingjian Deng,
  • Xing Liao and
  • Di Wang

5 July 2023

Because their topological structures have certain crystallographic symmetry, there is anisotropy in triply periodic minimal surface (TPMS) porous structures. Anisotropy can affect the mechanical properties of porous structures; thus, it is necessary...

  • Article
  • Open Access
24 Citations
6,789 Views
14 Pages

29 November 2023

The flow through geometrically complex structures is an important engineering problem. In this work, the laminar flow through Triply Periodic Minimal Surface (TPMS) structures is numerically analyzed using Computational Fluid Dynamics (CFD) simulatio...

  • Article
  • Open Access
729 Views
17 Pages

Piezoelectric Cement Composites Enhanced by Triply Periodic Minimal Surface Architectures

  • Hu Xu,
  • Hongliang Li,
  • Xuyang Chen,
  • Zheng Zeng and
  • Annan Jiang

12 September 2025

This study systematically investigates the piezoelectric performance of cement-based composite materials integrated with triply periodic minimal surface (TPMS) piezoelectric ceramic architectures, including Schwarz P and Neovius structures, in compar...

  • Article
  • Open Access
4 Citations
1,521 Views
19 Pages

7 March 2025

Triply periodic minimal surface (TPMS) sandwich structures were proposed based on the TPMSs. The test samples for the TPMS sandwich were prepared using Multi Jet Fusion (MJF) with PA12 as the base material. Their low-velocity impact responses were in...

  • Article
  • Open Access
1 Citations
995 Views
17 Pages

14 August 2025

To overcome poor catalyst recovery and inefficient mass transfer in photocatalytic water treatment, this study presents novel Triply Periodic Minimal Surface (TPMS) photocatalytic reactors (PCRs) fabricated via Stereolithography (SLA) 3D printing. Fi...

  • Article
  • Open Access
26 Citations
6,120 Views
16 Pages

16 July 2022

Sandwich panel structures (SPSs) with lattice cores can considerably lower material consumption while simultaneously maintaining adequate mechanical properties. Compared with extruded lattice types, triply periodic minimal surface (TPMS) lattices hav...

  • Article
  • Open Access
84 Citations
8,724 Views
18 Pages

17 February 2021

This paper investigates the mechanical behavior of additive manufactured Triply Periodic Minimal Surface (TPMS) structures, such as Gyroid, Schwarz Diamond and Schwarz Primitive. Fused Filament Fabrication (FFF) technique was utilized in order to fab...

  • Article
  • Open Access
10 Citations
5,440 Views
21 Pages

16 October 2024

With advancements in additive manufacturing (AM) techniques, high-quality triply periodic minimal surface (TPMS) structures can now be produced. TPMS walled heat exchangers (HX) hold significant potential for industrial applications and are receiving...

  • Article
  • Open Access
22 Citations
3,659 Views
14 Pages

X-ray Computed Tomography Procedures to Quantitatively Characterize the Morphological Features of Triply Periodic Minimal Surface Structures

  • Sergei Evsevleev,
  • Tatiana Mishurova,
  • Dmitriy Khrapov,
  • Aleksandra Paveleva,
  • Dietmar Meinel,
  • Roman Surmenev,
  • Maria Surmeneva,
  • Andrey Koptyug and
  • Giovanni Bruno

1 June 2021

Additively manufactured (AM) metallic sheet-based Triply Periodic Minimal Surface Structures (TPMSS) meet several requirements in both bio-medical and engineering fields: Tunable mechanical properties, low sensitivity to manufacturing defects, mechan...

  • Article
  • Open Access
34 Citations
5,936 Views
11 Pages

16 June 2021

Recently, triply periodic minimal surface (TPMS) lattice structures have been increasingly employed in many applications, such as lightweighting and heat transfer, and they are enabled by the maturation of additive manufacturing technology, i.e., las...

  • Article
  • Open Access
5 Citations
1,966 Views
20 Pages

Mechanical Behaviour of Photopolymer Cell-Size Graded Triply Periodic Minimal Surface Structures at Different Deformation Rates

  • Yunus Emre Yılmaz,
  • Nejc Novak,
  • Oraib Al-Ketan,
  • Hacer Irem Erten,
  • Ulas Yaman,
  • Anja Mauko,
  • Matej Borovinsek,
  • Miran Ulbin,
  • Matej Vesenjak and
  • Zoran Ren

14 May 2024

This study investigates how varying cell size affects the mechanical behaviour of photopolymer Triply Periodic Minimal Surfaces (TPMS) under different deformation rates. Diamond, Gyroid, and Primitive TPMS structures with spatially graded cell sizes...

  • Article
  • Open Access
14 Citations
4,309 Views
20 Pages

As engineering demands for structural energy absorption intensify, triply periodic minimal surface (TPMS) structures, known for their light weight and exceptional energy absorption, are increasingly valued in aerospace, automotive, and shipping engin...

  • Article
  • Open Access
8 Citations
2,473 Views
14 Pages

10 November 2022

In this paper, thin layers of NiTi shape memory alloy (SMA) triply periodic minimal surface lattices (TPMS) are fabricated using laser powder bed fusion (LPBF), considering different laser scanning strategies and relative densities. The obtained arch...

  • Article
  • Open Access
6 Citations
2,836 Views
14 Pages

28 March 2024

Three-dimensional flexible piezoresistive porous sensors are of interest in health diagnosis and wearable devices. In this study, conductive porous sensors with complex triply periodic minimal surface (TPMS) structures were fabricated using the 3D pr...

  • Article
  • Open Access
53 Citations
5,601 Views
17 Pages

9 November 2020

Functional graded materials are gaining increasing attention in tissue engineering (TE) due to their superior mechanical properties and high biocompatibility. Triply periodic minimal surface (TPMS) has the capability to produce smooth surfaces and in...

  • Article
  • Open Access
19 Citations
3,293 Views
14 Pages

22 November 2022

Laser powder bed fusion (LPBF) is an emerging technique for the fabrication of triply periodic minimal surface (TPMS) structures in metals. In this work, different TPMS structures such as Diamond, Gyroid, Primitive, Neovius, and Fisher–Koch S w...

  • Proceeding Paper
  • Open Access
3 Citations
2,588 Views
10 Pages

Heat sinks have been widely used in cooling systems due to their high heat transfer efficiency. In this study, the thermal performance and fluid flow characteristics of conventional and triply periodic minimal surfaces (TPMS)-based heat sinks were in...

  • Article
  • Open Access
9 Citations
3,864 Views
28 Pages

This paper proposes two compact, efficient, and lightweight heat exchangers based on triply periodic minimal surfaces (TPMSs). Designed in an annular configuration, the heat exchangers meet the requirements of micro gas turbines for compactness. Two...

  • Article
  • Open Access
10 Citations
3,313 Views
15 Pages

Computational Investigation of the Fluidic Properties of Triply Periodic Minimal Surface (TPMS) Structures in Tissue Engineering

  • Muhammad Noman Shahid,
  • Muhammad Usman Shahid,
  • Shummaila Rasheed,
  • Muhammad Irfan and
  • Muhannad Ahmed Obeidi

10 July 2024

Tissue engineering, a rapidly advancing field in medicine, has made significant strides with the development of artificial tissue substitutes to meet the growing need for organ transplants. Three-dimensional (3D) porous scaffolds are widely utilized...

  • Proceeding Paper
  • Open Access
3 Citations
2,399 Views
7 Pages

8 November 2024

This research explores the transformative realm of heat exchanger design, focusing on three different lattice types—gyroid, diamond, and SplitP. This study systematically investigates the impact of different cell sizes and wall thicknesses of t...

  • Article
  • Open Access
902 Views
15 Pages

Triply Periodic Minimal Surfaces Mullite Structures for Humidity Detection

  • Yurii Milovanov,
  • Arianna Bertero,
  • Bartolomeo Coppola,
  • Paola Palmero and
  • Jean-Marc Tulliani

Three-dimensional-printed complex mullite structures based on triply periodic minimal surfaces (TPMSs, namely, Schwartz and Gyroid) with two different thicknesses (Schwartz 1 and Gyroid 1–4 mm, Schwartz 2 and Gyroid 2–6 mm) were fabricate...

  • Article
  • Open Access
7 Citations
3,692 Views
17 Pages

The development of advanced feed spacers under different working conditions can enhance the performance of the reverse osmosis (RO) desalination process. The 3D-printed experimental results on triply periodic minimal surfaces (TPMS)-based spacers in...

  • Article
  • Open Access
1 Citations
1,120 Views
16 Pages

1 November 2025

Additive manufacturing has enabled the fabrication of complex, bioinspired lattice structures, such as Triply Periodic Minimal Surfaces (TPMSs), for use in lightweight structural applications. To assess their engineering viability, this study benchma...

  • Article
  • Open Access
11 Citations
3,943 Views
23 Pages

25 November 2022

The present study utilizes a density-based topology optimization method to design a serpentine channel under turbulent flow, solving a high pressure loss issue and enhancing heat transfer capability. In the topology optimization, the k–&epsilon...

  • Review
  • Open Access
141 Citations
16,937 Views
29 Pages

28 November 2022

Triply periodic minimal surfaces (TPMS) have shown better mechanical performance, mass transfer, and thermal conductivity than conventional and strut-based structures, which have been employed in different disciplines. Most of the literature investig...

  • Article
  • Open Access
2 Citations
1,328 Views
15 Pages

19 November 2024

Power-to-heat (P2H) systems offer an efficient solution for decarbonization by facilitating the integration of renewable energy into the industrial, heating, and transport sectors. Its key requirements include high thermal efficiency and an appropria...

  • Article
  • Open Access
233 Citations
16,703 Views
16 Pages

29 November 2018

The triply periodic minimal surface (TPMS) method is a novel approach for lattice design in a range of fields, such as impact protection and structural lightweighting. In this paper, we used the TPMS formula to rapidly and accurately generate the mos...

  • Article
  • Open Access
5 Citations
2,857 Views
10 Pages

1 January 2025

This study describes experimental data on 3D-printed compact heat exchangers. The heat exchanger is a prototype designed and manufactured additively using 3D printing in metal—AISI 316L steel. The device’s design is based on the triply pe...

  • Review
  • Open Access
1 Citations
3,372 Views
26 Pages

Review of Triply Periodic Minimal Surface (TPMS) Structures for Cooling Heat Sinks

  • Khaoula Amara,
  • Mohamad Ziad Saghir and
  • Ridha Abdeljabar

16 September 2025

This review paper deals with Triply Periodic Minimal Surfaces (TPMS) and lattice structures as a new generation of heat exchangers. Especially, their manufacturing is becoming feasible with technological progress. While some intricate structures are...

  • Article
  • Open Access
1 Citations
3,139 Views
19 Pages

30 April 2025

Freshwater scarcity demands innovative solutions, and Atmospheric Water Generation (AWG) technology offers a promising approach. This study applies a data-driven optimization methodology to enhance AWG efficiency by improving condensation surface des...

  • Article
  • Open Access
2 Citations
1,530 Views
16 Pages

Assessment of the Additive Fabrication Quality of Sandwich Structures with Novel Triply Periodic Minimal Surface Cores

  • Alexandru Vasile,
  • Dan Mihai Constantinescu,
  • Iulian Constantin Coropețchi,
  • Ștefan Sorohan and
  • Dragoș Alexandru Apostol

11 December 2024

Triply periodic minimal surface (TPMS) structures raised significant interest in several areas of research due to their unique properties and broad range of applications. The aim of the paper is to verify if such complex metamaterials can be fabricat...

  • Article
  • Open Access
4 Citations
1,692 Views
26 Pages

Numerical Simulation of Compressive Testing of Sandwich Structures with Novel Triply Periodic Minimal Surface Cores

  • Alexandru Vasile,
  • Dan Mihai Constantinescu,
  • Andrei Ioan Indreș,
  • Iulian Constantin Coropețchi,
  • Ștefan Sorohan and
  • Dragoş Alexandru Apostol

9 January 2025

Sandwich structures with triply periodic minimal surface (TPMS) cores have garnered research attention due to their potential to address challenges in lightweight solutions, high-strength designs, and energy absorption capabilities. This study focuse...

  • Article
  • Open Access
9 Citations
6,579 Views
17 Pages

18 February 2019

Tissue repairing has been the ultimate goal of surgery, especially with the emergence of reconstructive medicine. A large amount of research devoted to exploring innovative porous scaffold designs, including homogeneous and inhomogeneous ones, have b...

  • Article
  • Open Access
9 Citations
3,249 Views
18 Pages

21 November 2023

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 t...

  • Article
  • Open Access
1,602 Views
11 Pages

The permeability of a porous material is the measure of the ability of fluids to pass through it. The ability to control permeability is valued by tissue engineers who manufacture tissue engineering scaffolds that house cells/tissue and facilitate ti...

  • Feature Paper
  • Article
  • Open Access
8 Citations
5,116 Views
17 Pages

27 August 2024

Heat exchangers are necessary in most engineering systems that move thermal energy from a hot source to a colder location. The development of additive manufacturing technology facilitates the design and optimization of heat exchangers by introducing...

  • Article
  • Open Access
2 Citations
1,961 Views
28 Pages

19 April 2025

This study investigated the mechanical energy absorption properties of polymeric lattice structures fabricated using additive manufacturing. Existing studies have primarily focused on rigid or single-use materials, with limited attention given to fle...

  • Article
  • Open Access
11 Citations
1,933 Views
21 Pages

28 August 2024

Triply periodic minimal surfaces (TPMSs) show potential as porous materials in different engineering applications. Amongst them, heat sink is the subject of this paper. The advantage of such a structure is the ability to design it based on the intend...

  • Article
  • Open Access
8 Citations
2,945 Views
17 Pages

Additively Manufactured Foot Insoles Using Body-Centered Cubic (BCC) and Triply Periodic Minimal Surface (TPMS) Cellular Structures

  • Genaro Rico-Baeza,
  • Gerardo I. Pérez-Soto,
  • Luis Alberto Morales-Hernández,
  • Enrique Cuan-Urquizo and
  • Karla A. Camarillo-Gómez

25 November 2023

This study presents the development of insoles using 3D scanning and additive manufacturing; additionally, the feasibility of implementing cellular structures in their design was evaluated. Using finite element models, the displacements and Von Mises...

  • Proceeding Paper
  • Open Access
877 Views
9 Pages

30 October 2024

Triply periodic minimal surface lattice structures are three-dimensional arrays of complex cells that can only be efficiently manufactured by 3D printing. The mechanical properties of these lattice structures depend on lattice parameters such as cell...

  • Article
  • Open Access
40 Citations
4,477 Views
21 Pages

Different Approaches for Manufacturing Ti-6Al-4V Alloy with Triply Periodic Minimal Surface Sheet-Based Structures by Electron Beam Melting

  • Dmitriy Khrapov,
  • Maria Kozadayeva,
  • Kayrat Manabaev,
  • Alexey Panin,
  • William Sjöström,
  • Andrey Koptyug,
  • Tatiana Mishurova,
  • Sergei Evsevleev,
  • Dietmar Meinel and
  • Maria Surmeneva
  • + 2 authors

29 August 2021

Targeting biomedical applications, Triply Periodic Minimal Surface (TPMS) gyroid sheet-based structures were successfully manufactured for the first time by Electron Beam Melting in two different production Themes, i.e., inputting a zero (Wafer Theme...

  • Article
  • Open Access
9 Citations
3,067 Views
33 Pages

9 April 2025

Triply Periodic Minimal Surface (TPMS) heat exchangers have attracted significant attention for their high surface area and effective thermal performance. This study evaluates the performance of TPMS heat exchangers under turbulent flow conditions us...

  • Article
  • Open Access
2,054 Views
16 Pages

10 October 2024

In this study, a novel non-cooperative two-player game for minimizing static (Player 1) and dynamic (Player 2) compliances is introduced, implemented, and demonstrated using a multi-scale topology optimization framework for triply periodic minimal su...

  • Review
  • Open Access
136 Citations
17,914 Views
33 Pages

17 November 2020

Additive manufacturing is rapidly evolving and opening new possibilities for many industries. This article gives an overview of the current status of additive manufacturing with polymers and polymer composites. Various types of reinforcements in poly...

  • Article
  • Open Access
20 Citations
6,245 Views
19 Pages

11 August 2022

Paratroopers are highly susceptible to lower extremity impact injuries during landing. To reduce the ground reaction force (GRF), inspired by the cat paw pad and triply periodic minimal surface (TPMS), a novel type of bionic cushion sole for paratroo...

  • Article
  • Open Access
6 Citations
4,760 Views
21 Pages

22 April 2024

The demand for robust yet lightweight materials has exponentially increased in several engineering applications. Additive manufacturing and 3D printing technology have the ability to meet this demand at a fraction of the cost compared with traditiona...

  • Article
  • Open Access
3 Citations
1,512 Views
12 Pages

10 September 2024

Martensitic transformations, viewed as continuous mappings between triply periodic minimal surfaces (TPMSs), as suggested by Hyde and Andersson (Z. Kristallogr. 1986, 174, 225–236), are extended to include paths between the initial and final ph...

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