A dynamic XFEM formulation for crack identification

Nelder-Mead (NM) and Quasi-Newton (QN) optimization methods are used for the numerical solution of crack identification problems in elastody- namics. Fracture is modeled by the eXtended Finite Element Method. The Newmark-b method with Rayleigh damping is employed for the time integra- tion. The effects of various dynamical test loads on the crack identification are investigated. For a time- harmonic excitation with a single frequency and a...