BEM analysis of 3D heat conduction in 3D thin anisotropic media

Yui-Chuin Shiah, Y. M. Lee, Chi Chang Wang

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


In this paper, the boundary integrals for treating 3D field problems are fully regularized for planar elements by the technique of integration by parts (IBP). As has been well documented in open literatures, these integrals appear to be strongly singular and hyper-singular for the associated fundamental solutions. In the past, the IBP approach has only been applied to regularize the integrals for 2D problems. The present work shows that the IBP can also be further extended to treat 3D problems, where two variables of the local coordinates are involved. The presented formulations are fully explicit and also, most importantly, very straightforward for implementation in program codes. To demonstrate their validity and our implementation, a few example cases of 3D anisotropic heat conduction are investigated by the boundary element method and the calculated results are verified using analyses by ANSYS.

Original languageEnglish
Pages (from-to)229-255
Number of pages27
JournalComputers, Materials and Continua
Issue number3
Publication statusPublished - 2013

All Science Journal Classification (ASJC) codes

  • Biomaterials
  • Modelling and Simulation
  • Mechanics of Materials
  • Computer Science Applications
  • Electrical and Electronic Engineering


Dive into the research topics of 'BEM analysis of 3D heat conduction in 3D thin anisotropic media'. Together they form a unique fingerprint.

Cite this