Uniformly distributed circular porous pattern generation on surface for 3d printing

Sungha Yoon; Chaeyoung Lee; Jintae Park; Darae Jeong; Junseok Kim

doi:10.4208/NMTMA.OA-2019-0199

Uniformly distributed circular porous pattern generation on surface for 3d printing

Sungha Yoon, Chaeyoung Lee, Jintae Park, Darae Jeong, Junseok Kim

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We present an algorithm for uniformly distributed circular porous pattern generation on surface for three-dimensional (3D) printing using a phase-field model. The algorithm is based on the narrow band domain method for the nonlocal Cahn-Hilliard (CH) equation on surfaces. Surfaces are embedded in 3D grid and the narrow band domain is defined as the neighborhood of surface. It allows one can perform numerical computation using the standard discrete Laplacian in 3D instead of the discrete surface Laplacian. For complex surfaces, we reconstruct them from point cloud data and represent them as the zero-level set of their discrete signed distance functions. Using the proposed algorithm, we can generate uniformly distributed circular porous patterns on surfaces in 3D and print the resulting 3Dmodels. Furthermore, we provide the test of accuracy and energy stability of the proposed method.

Original language	English
Pages (from-to)	845-862
Number of pages	18
Journal	Numerical Mathematics
Volume	13
Issue number	4
DOIs	https://doi.org/10.4208/NMTMA.OA-2019-0199
Publication status	Published - 2020 Nov

Bibliographical note

Funding Information:
The authors thank the reviewers for their constructive and helpful comments on the revision of this article. C. Lee was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2019R1A6A3A13094308). D. Jeong was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (NRF-2017R1E1A1A03070953). The corresponding author (J. Kim) was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2016R1D1A1B03933243).

Publisher Copyright:
© 2020 Global-Science Press.

Keywords

3D printing
Diblock copolymer
Nonlocal Cahn-Hilliard equation
Porous surface

ASJC Scopus subject areas

Modelling and Simulation
Control and Optimization
Computational Mathematics
Applied Mathematics

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10.4208/NMTMA.OA-2019-0199

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title = "Uniformly distributed circular porous pattern generation on surface for 3d printing",

abstract = "We present an algorithm for uniformly distributed circular porous pattern generation on surface for three-dimensional (3D) printing using a phase-field model. The algorithm is based on the narrow band domain method for the nonlocal Cahn-Hilliard (CH) equation on surfaces. Surfaces are embedded in 3D grid and the narrow band domain is defined as the neighborhood of surface. It allows one can perform numerical computation using the standard discrete Laplacian in 3D instead of the discrete surface Laplacian. For complex surfaces, we reconstruct them from point cloud data and represent them as the zero-level set of their discrete signed distance functions. Using the proposed algorithm, we can generate uniformly distributed circular porous patterns on surfaces in 3D and print the resulting 3Dmodels. Furthermore, we provide the test of accuracy and energy stability of the proposed method.",

keywords = "3D printing, Diblock copolymer, Nonlocal Cahn-Hilliard equation, Porous surface",

author = "Sungha Yoon and Chaeyoung Lee and Jintae Park and Darae Jeong and Junseok Kim",

note = "Funding Information: The authors thank the reviewers for their constructive and helpful comments on the revision of this article. C. Lee was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2019R1A6A3A13094308). D. Jeong was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (NRF-2017R1E1A1A03070953). The corresponding author (J. Kim) was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2016R1D1A1B03933243). Publisher Copyright: {\textcopyright} 2020 Global-Science Press.",

year = "2020",

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doi = "10.4208/NMTMA.OA-2019-0199",

language = "English",

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AU - Yoon, Sungha

AU - Lee, Chaeyoung

AU - Park, Jintae

AU - Jeong, Darae

AU - Kim, Junseok

N1 - Funding Information: The authors thank the reviewers for their constructive and helpful comments on the revision of this article. C. Lee was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2019R1A6A3A13094308). D. Jeong was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (NRF-2017R1E1A1A03070953). The corresponding author (J. Kim) was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2016R1D1A1B03933243). Publisher Copyright: © 2020 Global-Science Press.

PY - 2020/11

Y1 - 2020/11

N2 - We present an algorithm for uniformly distributed circular porous pattern generation on surface for three-dimensional (3D) printing using a phase-field model. The algorithm is based on the narrow band domain method for the nonlocal Cahn-Hilliard (CH) equation on surfaces. Surfaces are embedded in 3D grid and the narrow band domain is defined as the neighborhood of surface. It allows one can perform numerical computation using the standard discrete Laplacian in 3D instead of the discrete surface Laplacian. For complex surfaces, we reconstruct them from point cloud data and represent them as the zero-level set of their discrete signed distance functions. Using the proposed algorithm, we can generate uniformly distributed circular porous patterns on surfaces in 3D and print the resulting 3Dmodels. Furthermore, we provide the test of accuracy and energy stability of the proposed method.

AB - We present an algorithm for uniformly distributed circular porous pattern generation on surface for three-dimensional (3D) printing using a phase-field model. The algorithm is based on the narrow band domain method for the nonlocal Cahn-Hilliard (CH) equation on surfaces. Surfaces are embedded in 3D grid and the narrow band domain is defined as the neighborhood of surface. It allows one can perform numerical computation using the standard discrete Laplacian in 3D instead of the discrete surface Laplacian. For complex surfaces, we reconstruct them from point cloud data and represent them as the zero-level set of their discrete signed distance functions. Using the proposed algorithm, we can generate uniformly distributed circular porous patterns on surfaces in 3D and print the resulting 3Dmodels. Furthermore, we provide the test of accuracy and energy stability of the proposed method.

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Uniformly distributed circular porous pattern generation on surface for 3d printing

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Bibliographical note

Keywords

ASJC Scopus subject areas

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