Identification analysis of order of singularity near vertex on interface in three-dimensional bonded structures

Abstract

In this paper, an identification procedure for the order of singularity near the interface edge of bonded structures is shown based on the finite element method using singular elements and the adjoint variable method in three dimensions. In this study, the three-dimensional Akin's singular element is introduced for discretization of the governing equation, and the formulation for the parameter identification analysis is carried out based on the adjoint variable method. A simple rectangular bonded structure model is employed in numerical analysis, and several numerical experiments are performed.