Author(s)

F. Zhang, A.J. Kassab & D.W. Nicholson

Abstract

Application of the boundary element method to measurement of residual stress F. Zhang, A.J. Kassab & D.W. Nicholson Department of Mechanical and Aerospace Engineering, University of Central Florida, OrfoWo, FI 32,9 J% ABSTRACT An elastic inverse problem is studied and applied to the hole-drilling method of destructive measurement of residual stresses. In this method the strain or displacement is experimentally determined at a number of internal points and boundary conditions at the hole surface prior to drilling are unknown (both traction and displacement). In the inverse problem, a least squares minimization is proposed in conjunction with physical constraints to determine the unknown boundary condition. The constraints used are equilibrium conditions for a rigid body. The introduction of these constraints has the effect of stabilizing the solution and guiding it toward the exact solution. Numerical examples are given to show the accuracy and tolerance of

Keywords