Two-scale topology optimization for transient heat analysis in porous material considering the size effect of microstructure

Research output: Contribution to journalResearch articleContributedpeer-review


  • Naruethep Sukulthanasorn - (Author)
  • Hiroya Hoshiba - (Author)
  • Koji Nishiguchi - (Author)
  • Mao Kurumatani - (Author)
  • Robert Fleischhauer - , Chair of Structural Analysis (Author)
  • Kuniharu Ushijima - (Author)
  • Michael Kaliske - , Chair of Structural Analysis (Author)
  • Kenjiro Terada - (Author)
  • Junji Kato - (Author)


This paper presents a two-scale topology optimization framework for determining the optimal microstructure in porous material under transient heat conduction and transfer. The new optimization model, which can consider the surface area directly from microstructure topology as the size-dependent term, is introduced to enhance the heat transfer performance. In more detail, a homogenization method capable of considering the size-dependent microscopic heat transfer effect is adopted to express the microscopic material responses. A well-known material interpolation, referred to as the SIMP approach, and the design-dependent linear function are used for interpolating intermediate material properties. The minimal transient heat compliance is chosen as an objective function in this optimization problem. For the sensitivity analysis, a coupled-adjoint variable method is adopted to derive transient sensitivity formulation. The analysis shows that the proposed topology optimization model captures not only the transient heat but also the size effect of the microstructure in a transient heat analysis in porous material.


Original languageEnglish
Article number186
Number of pages21
JournalStructural and multidisciplinary optimization : research journal ; journal of the International Society for Structural and Multidisciplinary Optimization (ISSMO)
Issue number7
Publication statusPublished - 1 Jul 2022

External IDs

Scopus 85132102994



  • Homogenization, Microstructure, Size-dependent, Topology optimization, Transient heat analysis

Library keywords