Shape sensitivities and optimal configurations for heat diffusion problems: A bem approach

S. Saigal, A. Chandra

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


Design sensitivity analysis, along with the shape optimization of heat diffusion problems using the boundary element method (BEM), is presented in this paper. The present approach utilizes the implicit differentiation of discretized boundary integral equations with respect to the design variables to yield the sensitivity equations. A technique based on the response of an object to a constant boundary temperature is presented for the evaluation of singular terms in the thermal sensitivity kernels. A procedure for the design sensitivity analysis of a reduced system of equations obtained via substructuring and condensation is also presented. The BEM formulations are implemented for both two-dimensional and axisymmetric objects. A number of sample problems are solved to demonstrate the accuracy of the present sensitivity formulation and to obtain optimal configurations of some mechanical components of practical interest, which are subjected to different thermal environments.

Original languageEnglish (US)
Pages (from-to)287-295
Number of pages9
JournalJournal of Heat Transfer
Issue number2
StatePublished - May 1991
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


  • Materials processing and manufacturing processes
  • Numerical methods


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