Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 65, 2014 - Issue 5
671
Views
22
CrossRef citations to date
0
Altmetric
Original Articles

A Global Heat Compliance Measure Based Topology Optimization for the Transient Heat Conduction Problem

&
Pages 445-471 | Received 17 Sep 2013, Accepted 23 Nov 2013, Published online: 03 Mar 2014

REFERENCES

  • X. Huang and Y. M. Xie , Evolutionary Topology Optimization of Continuum Structures , John Wiley , Chichester , UK , 2010 .
  • M. Bendsoe and N. Kikuchi , Generating Optimal Topologies in Structural Design Using a Homogenization Method , Comput. Meth. Appl. Mech. Eng. , vol. 71 , pp. 197 – 224 , 1988 .
  • G. Allaire , Shape Optimization by the Homogenization Method , Springer-Verlag , New York , 2002 .
  • M. Bendsoe and O. Sigmund , Topology Optimization. Theory, Method, and Applications , Springer-Verlag , New York , 2003 .
  • O. Sigmund , A 99 Line Topology Optimization Code Written in Matlab , Struct. Multidiscip. Optim. , vol. 21 , pp. 20 – 127 , 2001 .
  • G. Marck , M. Nemer , J. L. Harion , S. Russeil , and D. Bougeard , Topology Optimization Using the SIMP Method for Multiobjective Conductive Problems , Numer. Heat Transfer B , vol. 61 , pp. 439 – 470 , 2012 .
  • T. E. Brunes , Topology Optimization of Convection-Dominated , Steady-State Heat Transfer Problems , Int. J. Heat Mass Transfer , vol. 50 , pp. 2859 – 2873 , 2007 .
  • Q. Li , G. P. Steven , O. M. Querin , and Y. M. Xie , Shape and Topology Design for Heat Conduction by Evolutionary Structural Optimization , Int. J. Heat Mass Transfer , vol. 42 , pp. 3361 – 3371 , 1999 .
  • Q. Li , G. P. Steven , Y. M. Xie , and O. M. Querin , Evolutionary Topology Optimization for Temperature Reduction of Heat Conducting Fields , Int. J. Heat Mass Transfer , vol. 47 , pp. 5071 – 5083 , 2004 .
  • Q. Li , G. P. Steven , and Y. M. Xie , Thermoelastic Topology Optimization for Problems with Varying Temperature Fields , J. Thermal Stresses , vol. 24 , pp. 347 – 366 , 2001 .
  • D. He and S. Liu , BESO Method for Topology Optimization of Structures with High Efficiency of Heat Dissipation, Int. J. Simul. Multidiscip. Des. Optim., vol. 2, pp. 43–48, 2008.
  • S. H. Ha and S. Cho , Topological Shape Optimization of Heat Conduction Problems Using Level Set Approach , Numer. Heat Transfer B , vol. 48 , pp. 67 – 88 , 2005 .
  • S. H. Ha and S. Cho , Level Set-Based Topological Shape Optimization of Nonlinear Heat Conduction Problems, Numer. Heat Transfer B, vol. 54, pp. 454–475, 2008.
  • S. H. Ha and S. Cho , Level Set-Based Topological Shape Optimization of Heat Conduction Problems Considering Design-Dependent Convection Boundary , Numer. Heat Transfer B , vol. 58 , pp. 304 – 322 , 2010 .
  • G. Allaire , F. Jouve , and A. M. Toader , Structural Optimization Using Sensitivity Analysis and a Level-Set Method , J. Comput. Phys. , vol. 194 , pp. 363 – 393 , 2004 .
  • C. G. Zhuang , Z. H. Xiong , and H. Ding , A Level Set Method for Topology Optimization of Heat Conduction Problem under Multiple Load Cases , Comput. Meth. Appl. Mech. Eng. , vol. 196 , pp. 1074 – 1084 , 2007 .
  • K. Dems and B. Rousselet , Sensitivity Analysis for Transient Heat Conduction in a Solid Body Part I: External Boundary Modification , Struct. Optim. , vol. 17 , pp. 36 – 45 , 1999 .
  • K. Dems and B. Rousselet , Sensitivity Analysis for Transient Heat Conduction in a Solid Body Part II: Interface Modification , Struct. Optim. , vol. 17 , pp. 46 – 54 , 1999 .
  • R. Korycki , Sensitivity Analysis and Shape Optimization for Transient Heat Conduction with Radiation , Int. J. Heat Mass Transfer , vol. 49 , pp. 2033 – 2043 , 2006 .
  • S. Turteltaub , Optimal Material Properties for Transient Problems , Struct. Optim. , vol. 22 , pp. 157 – 166 , 2001 .
  • Y. X. Gu , B. S. Chen , H. W. Zhang , and R. V. Grandhi , A Sensitivity Analysis Method for Linear and Nonlinear Transient Heat Conduction with Precise Time Integration , Struct. Multidiscip. Optim. , vol. 24 , pp. 23 – 37 , 2002 .
  • B. S. Kang , G. J. Park , and J. S. Arora , A Review of Optimization of Structures Subjected to Transient Loads, Struct. Multidiscip. Optim. , vol. 31, pp. 81–95, 2006.
  • C. G. Zhuang , Z. H. Xiong , and H. Ding , Topology Optimization of Transient Heat Conduction Problem on Triangular Mesh , Numer. Heat Transfer B , vol. 64 , pp. 1 – 24 , 2013 .
  • H. H. Jang and H. A. Lee , Dynamic Response Topology Optimization in the Time Domain Using Equivalent Static Loads , AIAA J. , vol. 50 , pp. 226 – 234 , 2012 .
  • C. E. Wang , D. L. Cui , R. X. Qu , and H. T. Qiao , Finite-element Method and Its Application: Heat Transfer and Structural Analysis , Science Press , Beijing , 2012 .
  • X. C. Wang , Finite-element Method , Tsinghua University Press , Beijing , 2004 .
  • X. H. Wen , A New Algorithm for Unconstrained Min-Max Optimization , J. Xidian Univ. , vol. 16 , pp. 166 – 174 , 1989 .
  • W. S. Chio and G. J. Park , Transformation of Dynamic Loads into Equivalent Static Loads Based on Modal Analysis , Int. J. Numer. Meth. Eng. , vol. 46 , pp. 29 – 43 , 1999 .
  • G. J. Park and B. S. Kang , Validation of a Structural Optimization Algorithm Transforming Dynamic Loads into Equivalent Static Loads , J. Optim. Theory Appl. , vol. 118 , pp. 191 – 200 , 2003 .
  • F. A. M. Gomes and T. A. Senne , An SLP Algorithm and Its Application to Topology Optimization , Comput. Appl. Math. , vol. 30 , pp. 53 – 89 , 2011 .
  • K. Svanberg , The Method of Moving Asymptotes—A New Method for Structural Optimization , Int. J. Numer. Meth. Eng. , vol. 24 , pp. 359 – 373 , 1987 .
  • O. Sigmund , Design of Material Structures Using Topology Optimization, Ph. D. Thesis, Department of Solid Mechanics, Technical University of Denmark, 1994.
  • E. Andreassen , A. Clausen , M. Schevenels , B. S. Lazarov , and O. Sigmund , Efficient Topology Optimization in Matlab using 88 Lines of Code , Struct. Multidiscip. Optim. , vol. 43 , pp. 1 – 16 , 2011 .
  • O. Pironneau , Optimal Shape Design for Elliptic Systems , Springer-Verlag , New York , 1983 .
  • J. Sokolowski and J. P. Zolesio , Introduction to Shape Optimization: Shape Sensitivity Analysis , Springer-Verlag , New York , 1992 .
  • This research work is supported in part by the National Basic Research Program of China (2013CB035804) and the National Natural Science Foundation of China )U1201244(.
  • Colors versions of one or more of the figures in this article can be found online at www.tandfonline.com/unhb.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.