Numerical studies for defect topology identification based on the adjoint variable and the finite element methods

This paper describes the visualization of defect regions in a structure via hammering test that employs level set type topology optimization based on concept phase-field method. In this study, residual between calculated displacement and observed is defined as performance function, with identification problem being formulated adjoint variable finite element methods. Numerical experiments were performed to investigate effect regularization parameter, number observation point, evaluation equation convergence application weighted gradient. Consequently, it was found number, position size can be adjusted using parameter τ. addition, seen if points iterative computation update are appropriately given, identified close exact topology. Furthermore, topologies more accurately by applying sensitivities.