Isotropic porous structure design methods based on triply periodic minimal surfaces

Recently, triply periodic minimal surface (TPMS) is emerging as an ideal tool to generate porous structures. Yet, most of the current work only focuses on controlling the elastic modulus by the relative density. For special engineering applications, such as porous bone implants or energy absorbers,...

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Main Authors: Jiawei Feng, Bo Liu, Zhiwei Lin, Jianzhong Fu
Format: Article
Language:English
Published: Elsevier 2021-11-01
Series:Materials & Design
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0264127521006055
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author Jiawei Feng
Bo Liu
Zhiwei Lin
Jianzhong Fu
author_facet Jiawei Feng
Bo Liu
Zhiwei Lin
Jianzhong Fu
author_sort Jiawei Feng
collection DOAJ
description Recently, triply periodic minimal surface (TPMS) is emerging as an ideal tool to generate porous structures. Yet, most of the current work only focuses on controlling the elastic modulus by the relative density. For special engineering applications, such as porous bone implants or energy absorbers, the generated porous TPMS may still be broken due to anisotropy. In this work, two strategies are proposed to design isotropic TPMS structures. The numerical homogenization theory and finite element analysis methods are utilized to study the relationship between TPMS parameters and the elastic modulus or anisotropy properties. Based on that, a Curvature-Wall thickness (CW) adjustment method is proposed for sheet TPMS structures whose performances are close to isotropy properties. In virtue of the constructed design map, both elastic modulus and anisotropy properties can be controlled. For sheet TPMS structures whose performances are far from the isotropy properties, the TPMS units can be combined to generate composite TPMS, which can be further designed by the proposed Curvature-Wall thickness adjustment method. Experimental results verify the effectiveness and accuracy of the proposed approaches. Appropriate elastic modulus and ideal isotropy properties can be acquired at the same time.
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spelling doaj.art-5d746c55f51641e69d424ea4501940e62022-12-21T19:54:04ZengElsevierMaterials & Design0264-12752021-11-01210110050Isotropic porous structure design methods based on triply periodic minimal surfacesJiawei Feng0Bo Liu1Zhiwei Lin2Jianzhong Fu3State Key Laboratory of Fluid Power and Mechatronic Systems, College of Mechanical Engineering, Zhejiang University, Hangzhou 310027, China; Key Laboratory of 3D Printing Process and Equipment of Zhejiang Province, College of Mechanical Engineering, Zhejiang University, Hangzhou 310027, ChinaState Key Laboratory of Fluid Power and Mechatronic Systems, College of Mechanical Engineering, Zhejiang University, Hangzhou 310027, China; Key Laboratory of 3D Printing Process and Equipment of Zhejiang Province, College of Mechanical Engineering, Zhejiang University, Hangzhou 310027, ChinaState Key Laboratory of Fluid Power and Mechatronic Systems, College of Mechanical Engineering, Zhejiang University, Hangzhou 310027, China; Key Laboratory of 3D Printing Process and Equipment of Zhejiang Province, College of Mechanical Engineering, Zhejiang University, Hangzhou 310027, ChinaCorresponding author at: State Key Laboratory of Fluid Power and Mechatronic Systems, College of Mechanical Engineering, Zhejiang University, Hangzhou 310027, China.; State Key Laboratory of Fluid Power and Mechatronic Systems, College of Mechanical Engineering, Zhejiang University, Hangzhou 310027, China; Key Laboratory of 3D Printing Process and Equipment of Zhejiang Province, College of Mechanical Engineering, Zhejiang University, Hangzhou 310027, ChinaRecently, triply periodic minimal surface (TPMS) is emerging as an ideal tool to generate porous structures. Yet, most of the current work only focuses on controlling the elastic modulus by the relative density. For special engineering applications, such as porous bone implants or energy absorbers, the generated porous TPMS may still be broken due to anisotropy. In this work, two strategies are proposed to design isotropic TPMS structures. The numerical homogenization theory and finite element analysis methods are utilized to study the relationship between TPMS parameters and the elastic modulus or anisotropy properties. Based on that, a Curvature-Wall thickness (CW) adjustment method is proposed for sheet TPMS structures whose performances are close to isotropy properties. In virtue of the constructed design map, both elastic modulus and anisotropy properties can be controlled. For sheet TPMS structures whose performances are far from the isotropy properties, the TPMS units can be combined to generate composite TPMS, which can be further designed by the proposed Curvature-Wall thickness adjustment method. Experimental results verify the effectiveness and accuracy of the proposed approaches. Appropriate elastic modulus and ideal isotropy properties can be acquired at the same time.http://www.sciencedirect.com/science/article/pii/S0264127521006055Triply periodic minimal surface (TPMS)Elastic modulusIsotropyAnisotropy control
spellingShingle Jiawei Feng
Bo Liu
Zhiwei Lin
Jianzhong Fu
Isotropic porous structure design methods based on triply periodic minimal surfaces
Materials & Design
Triply periodic minimal surface (TPMS)
Elastic modulus
Isotropy
Anisotropy control
title Isotropic porous structure design methods based on triply periodic minimal surfaces
title_full Isotropic porous structure design methods based on triply periodic minimal surfaces
title_fullStr Isotropic porous structure design methods based on triply periodic minimal surfaces
title_full_unstemmed Isotropic porous structure design methods based on triply periodic minimal surfaces
title_short Isotropic porous structure design methods based on triply periodic minimal surfaces
title_sort isotropic porous structure design methods based on triply periodic minimal surfaces
topic Triply periodic minimal surface (TPMS)
Elastic modulus
Isotropy
Anisotropy control
url http://www.sciencedirect.com/science/article/pii/S0264127521006055
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AT zhiweilin isotropicporousstructuredesignmethodsbasedontriplyperiodicminimalsurfaces
AT jianzhongfu isotropicporousstructuredesignmethodsbasedontriplyperiodicminimalsurfaces