Derivation of the basic structures of orthogonally symmetric lattice structures and finite element analysis of their compressive properties

With the recent development of additive manufacturing technology represented by 3D printers, various lattice structures have emerged because their mechanical properties can be designed artificially according to their structural characteristics. This study aims to develop knowledge that will contribu...

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Main Authors: Tomohisa KOJIMA, Yuta TAKASE, Tomoaki TSUJI
Format: Article
Language:Japanese
Published: The Japan Society of Mechanical Engineers 2023-11-01
Series:Nihon Kikai Gakkai ronbunshu
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/transjsme/89/927/89_23-00213/_pdf/-char/en
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author Tomohisa KOJIMA
Yuta TAKASE
Tomoaki TSUJI
author_facet Tomohisa KOJIMA
Yuta TAKASE
Tomoaki TSUJI
author_sort Tomohisa KOJIMA
collection DOAJ
description With the recent development of additive manufacturing technology represented by 3D printers, various lattice structures have emerged because their mechanical properties can be designed artificially according to their structural characteristics. This study aims to develop knowledge that will contribute to the design of lattice structures with tailored and desired mechanical properties. Among the many unit cell topologies in the lattice structures that have been designed in numerous studies, there are several basic structures and a variety of additional structures that were derived from these basic structures. However, there is a degree of ambiguity as to which of these structures should be regarded as the basic structures. In this study, the basic structures of a lattice structure with orthogonal symmetry were derived by determining the edges of the struts using a mathematical combination approach. Then, the deformation characteristics of them were evaluated through elasto-plastic finite element analysis. Five basic structures were determined by designing the unit cell of the lattice structure such that the struts pass through the vertices, the midpoints of the edges, and the centers of the faces in the cubic design region. It was found that structures with the same strut directions in their unit cells have similar stiffness distributions, and the basic structures obtained can be classified accordingly into three types. Finite element analysis of the compression of a micro-lattice structure composed of these basic structures confirmed that different deformation characteristics appeared during plastic collapse for each type of classified basic structure, and that the strut deformation type determined the overall deformation characteristics. Evaluation of the stiffness and the plastic collapse stress showed that with stretch-dominant strut deformation, lattice structures can be made lighter in weight while still maintaining some stiffness and some plastic collapse stress.
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spelling doaj.art-d1dc1a1840cf4be281476e8ca89a26fa2023-11-28T05:07:41ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612023-11-018992723-0021323-0021310.1299/transjsme.23-00213transjsmeDerivation of the basic structures of orthogonally symmetric lattice structures and finite element analysis of their compressive propertiesTomohisa KOJIMA0Yuta TAKASE1Tomoaki TSUJI2Department of Precision Mechanics, Chuo UniversityPrecision Engineering Course, Chuo UniversityDepartment of Precision Mechanics, Chuo UniversityWith the recent development of additive manufacturing technology represented by 3D printers, various lattice structures have emerged because their mechanical properties can be designed artificially according to their structural characteristics. This study aims to develop knowledge that will contribute to the design of lattice structures with tailored and desired mechanical properties. Among the many unit cell topologies in the lattice structures that have been designed in numerous studies, there are several basic structures and a variety of additional structures that were derived from these basic structures. However, there is a degree of ambiguity as to which of these structures should be regarded as the basic structures. In this study, the basic structures of a lattice structure with orthogonal symmetry were derived by determining the edges of the struts using a mathematical combination approach. Then, the deformation characteristics of them were evaluated through elasto-plastic finite element analysis. Five basic structures were determined by designing the unit cell of the lattice structure such that the struts pass through the vertices, the midpoints of the edges, and the centers of the faces in the cubic design region. It was found that structures with the same strut directions in their unit cells have similar stiffness distributions, and the basic structures obtained can be classified accordingly into three types. Finite element analysis of the compression of a micro-lattice structure composed of these basic structures confirmed that different deformation characteristics appeared during plastic collapse for each type of classified basic structure, and that the strut deformation type determined the overall deformation characteristics. Evaluation of the stiffness and the plastic collapse stress showed that with stretch-dominant strut deformation, lattice structures can be made lighter in weight while still maintaining some stiffness and some plastic collapse stress.https://www.jstage.jst.go.jp/article/transjsme/89/927/89_23-00213/_pdf/-char/enlattice structurelightweight structuremechanical characterizationfinite element analysiselasto-plastic analysiscompressive propertiesbucklingplastic instabilityadditive manufacturing
spellingShingle Tomohisa KOJIMA
Yuta TAKASE
Tomoaki TSUJI
Derivation of the basic structures of orthogonally symmetric lattice structures and finite element analysis of their compressive properties
Nihon Kikai Gakkai ronbunshu
lattice structure
lightweight structure
mechanical characterization
finite element analysis
elasto-plastic analysis
compressive properties
buckling
plastic instability
additive manufacturing
title Derivation of the basic structures of orthogonally symmetric lattice structures and finite element analysis of their compressive properties
title_full Derivation of the basic structures of orthogonally symmetric lattice structures and finite element analysis of their compressive properties
title_fullStr Derivation of the basic structures of orthogonally symmetric lattice structures and finite element analysis of their compressive properties
title_full_unstemmed Derivation of the basic structures of orthogonally symmetric lattice structures and finite element analysis of their compressive properties
title_short Derivation of the basic structures of orthogonally symmetric lattice structures and finite element analysis of their compressive properties
title_sort derivation of the basic structures of orthogonally symmetric lattice structures and finite element analysis of their compressive properties
topic lattice structure
lightweight structure
mechanical characterization
finite element analysis
elasto-plastic analysis
compressive properties
buckling
plastic instability
additive manufacturing
url https://www.jstage.jst.go.jp/article/transjsme/89/927/89_23-00213/_pdf/-char/en
work_keys_str_mv AT tomohisakojima derivationofthebasicstructuresoforthogonallysymmetriclatticestructuresandfiniteelementanalysisoftheircompressiveproperties
AT yutatakase derivationofthebasicstructuresoforthogonallysymmetriclatticestructuresandfiniteelementanalysisoftheircompressiveproperties
AT tomoakitsuji derivationofthebasicstructuresoforthogonallysymmetriclatticestructuresandfiniteelementanalysisoftheircompressiveproperties