An inverse formulation with boundary elements

Xiaogang Zeng, Sunil Saigal

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


A mathematical formulation for the solution of inverse problems pertaining to the identification of flaw shapes and the reconstruction of boundary conditions in a continua is described. Integral relationships are derived for the variation of field variables with respect to variation in flaw shape using Taylor series expansions. Similar relationships for the variation of boundary conditions with variation in flaw shape are also obtained. These variations allow the development of an iterative framework to advance an initially assumed flaw shape towards its actual configuration. The iterations are based upon and are driven by the difference in the values of computed response for the assumed flaw shape from their experimentally measured values at specified locations. The resulting equations are cast into the matrix form for solution using the boundary element method.

Original languageEnglish (US)
Pages (from-to)835-840
Number of pages6
JournalJournal of Applied Mechanics, Transactions ASME
Issue number4
StatePublished - Dec 1992
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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