Abstract
In this paper, we present an efficient numerical method for arbitrary shaped porous structure generation for 3D printing. A phase-field model is employed for modeling phase separation phenomena of diblock copolymers based on the three-dimensional nonlocal Cahn–Hilliard (CH) equation. The nonlocal CH equation is a fourth-order nonlinear partial differential equation. To efficiently solve the governing equation, an unconditionally gradient stable convex splitting method for temporal discretization with a Fourier spectral method for the spatial discretization is adopted. The standard fast Fourier transform is used to speed up the computation. A new local average concentration function is introduced to the original nonlocal CH equation so that we can locally control the morphology of the structure. The proposed algorithm is simple to implement and complex shaped structures can also be implemented with corresponding signed distance fields. Various numerical tests are performed on simple and complex structures. The computational results demonstrate that the proposed method is efficient to generate irregular porous structures for 3D printing.
Highlights
Porosity has many advantages in a variety of fields, including biomaterials, tissue engineering, and clinical medicine
Many researches related to generating porous structures have been conducted so far on materials [4], porous sizes [5], architecture [6], topology optimization [7], and 3D printing [8,9] for optimized porous scaffolds
When we consider a structure represented by the signed distance function ψ( x, y, z), a local average concentration functions φ(x) can be defined as follows: (
Summary
Porosity has many advantages in a variety of fields, including biomaterials, tissue engineering, and clinical medicine. The development of various additive manufacturing technologies [13,14] has made it possible to use various infill technologies for generating 3D objects These methods are effective for filling the interior of surfaces with porosity. Various combinations of the above methods can be applied to a variety of applications such as designing porosity architecture of bones, for example, by obtaining an internal structure suitable for porous surfaces. The main purpose of this paper is to use the nonlocal CH equation [19] with a new local average concentration function to generate arbitrary shaped porous structure for 3D printing with space-dependent porous patterns. Compared with traditional engineering algorithms for generating regular porous architectures, the proposed method allows one to adjust parameters to obtain irregular structures with specific volume, density, etc.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
