An Inverse Formulation With Boundary Elements

[+] Author and Article Information
Xiaogang Zeng, Sunil Saigal

Department of Civil Engineering, Carnegie Mellon University, Pittsburgh, PA 15213

J. Appl. Mech 59(4), 835-840 (Dec 01, 1992) (6 pages) doi:10.1115/1.2894050 History: Received January 25, 1991; Revised June 17, 1991; Online March 31, 2008


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 inflow 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.

Copyright © 1992 by The American Society of Mechanical Engineers
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