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In the heating method which can be available for nondestructive and in situ measurements of residual stresses, a new method is proposed for simultaneous estimation of the heat flux and residual stresses. The approach is formulated as an inverse problem by using the surface displacements relieved by local heating and the resulting nonlinear least square problem is solved by Levenberg-Marquardt method. In this procedure, the displacements of the direct problem are computed by FEM. The approach is applied to estimation of uniaxial and biaxial stresses in a plate. The numerical results show the effectiveness of the proposed method.

Nondestructive Evaluation of Residual Stresses by Heating Method (Simultaneous Estimation of Rate of Heat Release and Residual Stresses)