Skip to main content
SpringerLink
Log in
Book cover

Encyclopedia of Continuum Mechanics pp 1–8Cite as

Topology Optimization Based on Explicit Geometry Description

  • Living reference work entry
  • First Online:

  • 81 Accesses

Synonyms

B-spline curve; Explicit geometry description; Moving Morphable Component (MMC); Moving Morphable Void (MMV); Sensitivity analysis; Topological derivative; Topology optimization

Definition

Topology optimization based on explicit geometry description is defined as a structural topology optimization paradigm where structural topology/geometry is described in an explicit way. The so-called Moving Morphable Components/Voids (MMC/MMV) method, geometry projection method, and B-spline based topological derivative method can all be ascribed to this solution paradigm. Since these methods have the potential to reduce the number of design variables associated with numerical optimization and establish a direct link with the computer aided design/engineering (CAD/CAE) systems, recent years witnessed a growing interest in developing topology optimization methods based on explicit geometry description.

Introduction

Traditional topology optimization approaches, for example, Solid Isotropic...

This is a preview of subscription content, log in via an institution.

References

  • Allaire G, Jouve F, Toader AM (2004) Structural optimization using sensitivity analysis and a level-set method. J Comput Phys 194(1):363–393

    Article  MathSciNet  Google Scholar 

  • Bendsøe MP (1989) Optimal shape design as a material distribution problem. Struct Optim 1(4):193–202

    Article  Google Scholar 

  • Bujny M, Aulig N, Olhofer M, Duddeck F (2018) Identification of optimal topologies for crashworthiness with the evolutionary level set method. Int J Crashworthiness 23(4):395–416

    Article  Google Scholar 

  • Deng JD, Chen W (2016) Design for structural flexibility using connected morphable components based topology optimization. Sci China Technol Sci 59(6):839–851

    Article  Google Scholar 

  • Guo X, Zhang WS, Zhong WL (2014) Doing topology optimization explicitly and geometrically—a new moving morphable components based framework. Am Soc Mech Eng 81:081009-1–081009-12

    Google Scholar 

  • Guo X, Zhang WS, Zhang J, Yuan J (2016) Explicit structural topology optimization based on moving morphable components (MMC) with curved skeletons. Comput Methods Appl Mech Eng 310:711–748

    Article  MathSciNet  Google Scholar 

  • Guo X, Zhou JH, Zhang WS, Du ZL, Liu C, Liu Y (2017) Self-supporting structure design in additive manufacturing through explicit topology optimization. Comput Methods Appl Mech Eng 323:27–63

    Article  MathSciNet  Google Scholar 

  • Hoang VN, Jang GW (2017) Topology optimization using moving morphable bars for versatile thickness control. Comput Methods Appl Mech Eng 317:153–173

    Article  MathSciNet  Google Scholar 

  • Hou WB, Gai YD, Zhu XF, Wang X, Zhao C, Xu LK, Jiang K, Hu P (2017) Explicit isogeometric topology optimization using moving morphable components. Comput Methods Appl Mech Eng 326:694–712

    Article  MathSciNet  Google Scholar 

  • Hur J, Kang P, Youn SK (2017) Topology optimization based on spline-based meshfree method using topological derivatives. J Mech Sci Technol 31:2423–2431

    Article  Google Scholar 

  • Lei X, Liu C, Du ZL, Zhang WS, Guo X (2019) Machine learning-driven real-time topology optimization under moving morphable component-based framework. Am Soc Mech Eng 86:011004-1–011004-9

    Google Scholar 

  • Liu C, Zhu YC, Sun Z, Li DD, Du ZL, Zhang WS, Guo X (2018) An efficient moving morphable component (MMC)-based approach for multi-resolution topology optimization. Struct Multidiscip Optim 58(6):2455–2479

    Article  MathSciNet  Google Scholar 

  • Norato JA, Bell BK, Tortorelli DA (2015) A geometry projection method for continuum-based topology optimization with discrete elements. Comput Methods Appl Mech Eng 293:306–327

    Article  MathSciNet  Google Scholar 

  • Sun JL, Tian Q, Hu HY (2018a) Topology optimization of a three-dimensional flexible multibody system via moving morphable components. J Comput Nonlinear Dyn 13(2):021010-1–021010-11

    Google Scholar 

  • Sun JL, Tian Q, Hu HY, Pedersen NL (2018b) Topology optimization of a flexible multibody system with variable-length bodies described by ALE–ANCF. Nonlinear Dyn 93(2):413–441

    Article  Google Scholar 

  • Takalloozadeh M, Yoon GH (2017) Implementation of topological derivative in the moving morphable components approach. Finite Elem Anal Des 134:16–26

    Article  Google Scholar 

  • Wang MY, Wang X, Guo D (2003) A level set method for structural topology optimization. Comput Methods Appl Mech Eng 192(1–2):227–246

    Article  MathSciNet  Google Scholar 

  • Zhang WS, Li D, Zhang J, Guo X (2016a) Minimum length scale control in structural topology optimization based on the moving morphable components (MMC) approach. Comput Methods Appl Mech Eng 311:327–355

    Article  MathSciNet  Google Scholar 

  • Zhang WS, Yuan J, Zhang J, Guo X (2016b) A new topology optimization approach based on moving morphable components (MMC) and the ersatz material model. Struct Multidiscip Optim 53(6):1243–1260

    Article  MathSciNet  Google Scholar 

  • Zhang WS, Li D, Yuan J, Song JF, Guo X (2017a) A new three-dimensional topology optimization method based on moving morphable components (MMCs). Comput Mech 59:647–665

    Article  MathSciNet  Google Scholar 

  • Zhang WS, Chen JS, Zhu XF, Zhou JH, Xue DC, Lei X, Guo X (2017b) Explicit three dimensional topology optimization via moving morphable void (MMV) approach. Comput Methods Appl Mech Eng 322:590–614

    Article  MathSciNet  Google Scholar 

  • Zhang WS, Yang WY, Zhou JH, Li D, Guo X (2017c) Structural topology optimization through explicit boundary evolution. Am Soc Mech Eng 84:011011-1–011011-10

    Google Scholar 

  • Zhang WS, Li D, Zhou JH, Du ZL, Li BJ, Guo X (2018a) A moving morphable void (MMV)-based explicit approach for topology optimization considering stress constraints. Comput Methods Appl Mech Eng 334:381–413

    Article  MathSciNet  Google Scholar 

  • Zhang WS, Song JF, Zhou JH, Du ZL, Zhu YC, Sun Z, Guo X (2018b) Topology optimization with multiple materials via moving morphable component (MMC) method. Int J Numer Methods Eng 113(11):1653–1675

    Article  MathSciNet  Google Scholar 

  • Zhou M, Fleury R (2016) Fail-safe topology optimization. Struct Multidiscip Optim 54(5):1225–1243

    Article  Google Scholar 

  • Zhou M, Rozvany GIN (1991) The COC algorithm. Part II: topological, geometrical and generalized shape optimization. Comput Methods Appl Mech Eng 89(1–3):309–336

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, International Research Center for Computational Mechanics, Dalian University of Technology, Dalian, China

    Xu Guo, Weisheng Zhang & Zongliang Du

Authors
  1. Xu Guo
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Weisheng Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Zongliang Du
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xu Guo .

Editor information

Editors and Affiliations

  1. Institut für Mechanik, Otto-von-Guericke-Universität Institut für Mechanik, Magdeburg, Germany

    Holm Altenbach

  2. Griffith University (Gold Coast Campus), Griffith School of Engineering Griffith University (Gold Coast Campus), Southport, QLD, Australia

    Andreas Öchsner

Section Editor information

  1. Universidade do Estado de Santa Catarina – UDESC, Joinville, SC, Brazil

    Pablo Andres Munoz Rojas

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer-Verlag GmbH Germany, part of Springer Nature

About this entry

Check for updates. Verify currency and authenticity via CrossMark

Cite this entry

Guo, X., Zhang, W., Du, Z. (2019). Topology Optimization Based on Explicit Geometry Description. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_248-1

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-53605-6_248-1

  • Received:

  • Accepted:

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-53605-6

  • Online ISBN: 978-3-662-53605-6

  • eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering

Publish with us

Policies and ethics

Search

Navigation