2018 Volume 67 Issue 8 Pages 781-788
In this paper, we present identification of order of singularity near interface edge of bonded structures using displacement value. In general, the adjoint variable and the direct differentiation methods are employed for the inverse analysis. However, the order of singularity is not explicitly included in the governing equation, and the methods of inverse analysis can not be directly applied to identify the order of singularity. Therefore, the finite element procedure using Akin's singular element is employed for the discretization of the governing equation, and the finite element equation including the order of singularity is used for the formulation of the identification problem based on the adjoint variable method. In this study, the order of singularity is identified by using displacement values. The order of singularity is frequently obtained based on the Bogy's methodology, but we present the identification method of the order of singularity based on the displacement values. Some numerical experiments and considerations are shown in this paper
