Three-Dimensional Multi-Material Topology Optimization: Applying a New Mapping-Based Projection Function.
Saved in:
| Title: | Three-Dimensional Multi-Material Topology Optimization: Applying a New Mapping-Based Projection Function. |
|---|---|
| Authors: | Simonetti, Hélio Luiz1 (AUTHOR) helio.simonetti@ifmg.edu.br, Neves, Francisco de Assis das2 (AUTHOR), Almeida, Valério Silva3 (AUTHOR), Silva, Marcio Maciel da2,4 (AUTHOR), Neto, Luttgardes de Oliveira1,4 (AUTHOR) |
| Source: | Materials (1996-1944). Mar2025, Vol. 18 Issue 5, p997. 21p. |
| Subjects: | Hyperbolic functions, Tangent function, Manufacturing processes, Sensitivity analysis, Topology |
| Abstract: | This paper presents an efficient and compact MATLAB code for 3D topology optimization of multi-materials. The multi-material problem using a mapping-based material interpolation function is adopted from previous work, in which each material is modeled in the same way, presenting a clear (clean) result of 0 and 1 for each material of the optimized structures, without gray elements, thus facilitating the manufacturing process. A new projection function, the sigmoid function, is adopted for the filtered design variables for each material in the domain. The proposed method improves computational efficiency, reducing computational costs by up to 36.7%, while achieving a 19.1% improvement in the objective function compared to the hyperbolic tangent function. A multi-material topology optimization solution with minimal compliance under volume constraints, including details of the optimization model, filtering, projection, and sensitivity analysis procedures, is presented. Numerical examples are also used to demonstrate the effectiveness of the code, and the influence of the position of the support on the optimized results is also proven. The complete MATLAB code for 3D elastic structures is presented as an example. [ABSTRACT FROM AUTHOR] |
| Copyright of Materials (1996-1944) is the property of MDPI and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
|
Full text is not displayed to guests.
Login for full access.
|
|
| FullText | Links: – Type: pdflink Text: Availability: 1 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 183647852 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Three-Dimensional Multi-Material Topology Optimization: Applying a New Mapping-Based Projection Function. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Simonetti%2C+Hélio+Luiz%22">Simonetti, Hélio Luiz</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> helio.simonetti@ifmg.edu.br</i><br /><searchLink fieldCode="AR" term="%22Neves%2C+Francisco+de+Assis+das%22">Neves, Francisco de Assis das</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Almeida%2C+Valério+Silva%22">Almeida, Valério Silva</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Silva%2C+Marcio+Maciel+da%22">Silva, Marcio Maciel da</searchLink><relatesTo>2,4</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Neto%2C+Luttgardes+de+Oliveira%22">Neto, Luttgardes de Oliveira</searchLink><relatesTo>1,4</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Materials+%281996-1944%29%22">Materials (1996-1944)</searchLink>. Mar2025, Vol. 18 Issue 5, p997. 21p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Hyperbolic+functions%22">Hyperbolic functions</searchLink><br /><searchLink fieldCode="DE" term="%22Tangent+function%22">Tangent function</searchLink><br /><searchLink fieldCode="DE" term="%22Manufacturing+processes%22">Manufacturing processes</searchLink><br /><searchLink fieldCode="DE" term="%22Sensitivity+analysis%22">Sensitivity analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Topology%22">Topology</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper presents an efficient and compact MATLAB code for 3D topology optimization of multi-materials. The multi-material problem using a mapping-based material interpolation function is adopted from previous work, in which each material is modeled in the same way, presenting a clear (clean) result of 0 and 1 for each material of the optimized structures, without gray elements, thus facilitating the manufacturing process. A new projection function, the sigmoid function, is adopted for the filtered design variables for each material in the domain. The proposed method improves computational efficiency, reducing computational costs by up to 36.7%, while achieving a 19.1% improvement in the objective function compared to the hyperbolic tangent function. A multi-material topology optimization solution with minimal compliance under volume constraints, including details of the optimization model, filtering, projection, and sensitivity analysis procedures, is presented. Numerical examples are also used to demonstrate the effectiveness of the code, and the influence of the position of the support on the optimized results is also proven. The complete MATLAB code for 3D elastic structures is presented as an example. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Materials (1996-1944) is the property of MDPI and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=183647852 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.3390/ma18050997 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 21 StartPage: 997 Subjects: – SubjectFull: Hyperbolic functions Type: general – SubjectFull: Tangent function Type: general – SubjectFull: Manufacturing processes Type: general – SubjectFull: Sensitivity analysis Type: general – SubjectFull: Topology Type: general Titles: – TitleFull: Three-Dimensional Multi-Material Topology Optimization: Applying a New Mapping-Based Projection Function. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Simonetti, Hélio Luiz – PersonEntity: Name: NameFull: Neves, Francisco de Assis das – PersonEntity: Name: NameFull: Almeida, Valério Silva – PersonEntity: Name: NameFull: Silva, Marcio Maciel da – PersonEntity: Name: NameFull: Neto, Luttgardes de Oliveira IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 19961944 Numbering: – Type: volume Value: 18 – Type: issue Value: 5 Titles: – TitleFull: Materials (1996-1944) Type: main |
| ResultId | 1 |
