Estimation analysis of a defect depth in a concrete based on the adjoint variable method (Numerical experiment assuming observed displacement by the hammering test)

Abstract

In this study, the estimation of a defect depth in concrete is carried out based on the finite element and the adjoint variable methods. As the governing equation, the equation of motion is employed, and the finite element and Newmark’s β methods are applied to discretize the equation in space and time, respectively. The estimation of the response of the displacement at observation point and a defect depth is carried out by using based on the adjoint variable method. In the numerical experiment, the defect depth is estimated using the observed displacement value. Results of numerical experiment and some discussions are shows in this paper.