Structural design considering the uncertainty of load positions using the phase field design method

Seunghwan Jeong, Hong Kyoung Seong, Cheol Woong Kim, Jeonghoon Yoo

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


Ordinary topology optimization methods generate a result that is effective only for a specific load position. However, loads are often applied at many uncertain positions rather than at a specific location in most structures. For stability of the structure, it is desirable to guarantee a small amount of structural compliance despite the uncertainty of the load position. In this study, a topology optimization method is proposed to minimize the variation of compliance and its magnitude considering the uncertainty due to the wide range of load locations changes. The mean and the variance of the design objective, i.e., the compliance for each load case at various positions, are directly incorporated into a multi-objective optimization problem so that a similar degree of compliance can be obtained for the entire load case. The phase field design method is used as a topology optimization scheme in conjunction with the finite element method for structural compliance analysis. The reaction-diffusion equation combined with the double well potential functions is employed as the update scheme. Numerical examples for cantilever beam and MBB beam design are presented to demonstrate the validity of the proposed method.

Original languageEnglish
Pages (from-to)1-15
Number of pages15
JournalFinite Elements in Analysis and Design
Publication statusPublished - 2019 Sept 1

Bibliographical note

Funding Information:
This work was supported by National Research Foundation of Korea (NRF) grant funded by the Korea government (NRF-2016R1A2B4008501) and also supported by Human Resources Program in Energy Technology R&D Program of the Korea Institute of Energy Technology Evaluation and Planning (KETEP) granted financial resource from the Ministry of Trade, Industry & Energy, Republic of Korea (No.20184030201940).

Publisher Copyright:
© 2019 Elsevier B.V.

All Science Journal Classification (ASJC) codes

  • Analysis
  • Engineering(all)
  • Computer Graphics and Computer-Aided Design
  • Applied Mathematics


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