Probabilistic analysis of additively manufactured polymer lattice structures
Filigree lattice structures are sensible to geometrical imperfections and the scatter of material parameters which all depend on the stability of the manufacturing process. The aim of this study is to analyze these effects for polymer lattice structures and incorporate them in a finite element model...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-01-01
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| Series: | Materials & Design |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0264127521008558 |
| _version_ | 1831701422529314816 |
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| author | Sven Drücker Julian Kajo Lüdeker Marvin Blecken Arne Kurt Kirill Betz Benedikt Kriegesmann Bodo Fiedler |
| author_facet | Sven Drücker Julian Kajo Lüdeker Marvin Blecken Arne Kurt Kirill Betz Benedikt Kriegesmann Bodo Fiedler |
| author_sort | Sven Drücker |
| collection | DOAJ |
| description | Filigree lattice structures are sensible to geometrical imperfections and the scatter of material parameters which all depend on the stability of the manufacturing process. The aim of this study is to analyze these effects for polymer lattice structures and incorporate them in a finite element model for robust design. Micrographs of lattice structure slices show a smaller diameter for vertical struts. Basic mechanical tests on bulk material exhibit a tension–compression asymmetry which is captured with a Drucker-Prager material model in simulations. Digital image correlation measurements allow to determine true material properties. Plateau stress and failure strain are a result of the biggest flaw in the specimen. Hence, a new model to determine their probability distribution is proposed. This model outperforms standard approaches deriving the probability distribution from the central moments. A spatial correlation of geometric deviations and scatter of the material is investigated with variography subsequently allowing to model the varying properties with random fields. Simulations of dog-bone specimens show that the probability distributions of material properties are captured well. Also simulations of lattice structures are able to represent the probability distributions of their homogenized mechanical properties. The whole stress–strain response and the failure progression agree well with experimental results. |
| first_indexed | 2024-12-20T15:01:24Z |
| format | Article |
| id | doaj.art-3fe5922b2002495e9f3ded1af5f8fb02 |
| institution | Directory Open Access Journal |
| issn | 0264-1275 |
| language | English |
| last_indexed | 2024-12-20T15:01:24Z |
| publishDate | 2022-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Materials & Design |
| spelling | doaj.art-3fe5922b2002495e9f3ded1af5f8fb022022-12-21T19:36:39ZengElsevierMaterials & Design0264-12752022-01-01213110300Probabilistic analysis of additively manufactured polymer lattice structuresSven Drücker0Julian Kajo Lüdeker1Marvin Blecken2Arne Kurt3Kirill Betz4Benedikt Kriegesmann5Bodo Fiedler6Hamburg University of Technology, Institute of Polymers and Composites, Denickestr. 15, 21073 Hamburg, GermanyHamburg University of Technology, Working Group Structural Optimization for Lightweight Design, Am Schwarzenberg-Campus 4, 21073 Hamburg, GermanyHamburg University of Technology, Institute of Aircraft Cabin Systems, Hein-Saß-Weg 22, 21129 Hamburg, GermanyHamburg University of Technology, Institute of Polymers and Composites, Denickestr. 15, 21073 Hamburg, GermanyHamburg University of Technology, Institute of Polymers and Composites, Denickestr. 15, 21073 Hamburg, GermanyHamburg University of Technology, Working Group Structural Optimization for Lightweight Design, Am Schwarzenberg-Campus 4, 21073 Hamburg, GermanyHamburg University of Technology, Institute of Polymers and Composites, Denickestr. 15, 21073 Hamburg, GermanyFiligree lattice structures are sensible to geometrical imperfections and the scatter of material parameters which all depend on the stability of the manufacturing process. The aim of this study is to analyze these effects for polymer lattice structures and incorporate them in a finite element model for robust design. Micrographs of lattice structure slices show a smaller diameter for vertical struts. Basic mechanical tests on bulk material exhibit a tension–compression asymmetry which is captured with a Drucker-Prager material model in simulations. Digital image correlation measurements allow to determine true material properties. Plateau stress and failure strain are a result of the biggest flaw in the specimen. Hence, a new model to determine their probability distribution is proposed. This model outperforms standard approaches deriving the probability distribution from the central moments. A spatial correlation of geometric deviations and scatter of the material is investigated with variography subsequently allowing to model the varying properties with random fields. Simulations of dog-bone specimens show that the probability distributions of material properties are captured well. Also simulations of lattice structures are able to represent the probability distributions of their homogenized mechanical properties. The whole stress–strain response and the failure progression agree well with experimental results.http://www.sciencedirect.com/science/article/pii/S0264127521008558Finite Element Method3D PrintingStereolithographyProgressive DamageStochastic ModelingStrength Variation |
| spellingShingle | Sven Drücker Julian Kajo Lüdeker Marvin Blecken Arne Kurt Kirill Betz Benedikt Kriegesmann Bodo Fiedler Probabilistic analysis of additively manufactured polymer lattice structures Materials & Design Finite Element Method 3D Printing Stereolithography Progressive Damage Stochastic Modeling Strength Variation |
| title | Probabilistic analysis of additively manufactured polymer lattice structures |
| title_full | Probabilistic analysis of additively manufactured polymer lattice structures |
| title_fullStr | Probabilistic analysis of additively manufactured polymer lattice structures |
| title_full_unstemmed | Probabilistic analysis of additively manufactured polymer lattice structures |
| title_short | Probabilistic analysis of additively manufactured polymer lattice structures |
| title_sort | probabilistic analysis of additively manufactured polymer lattice structures |
| topic | Finite Element Method 3D Printing Stereolithography Progressive Damage Stochastic Modeling Strength Variation |
| url | http://www.sciencedirect.com/science/article/pii/S0264127521008558 |
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