2018 Volume 74 Issue 2 Pages I_85-I_93
In this paper, a novel shape reconstruction method based on the time-reversal technique is presented for the purpose of quantification of the ultrasonic nondestructive testing. First, a forward analysis of elastic wave scattering by defects in an elastic solid is solved by using the convolution quadrature time-domain boundary element method (CQBEM), which can produce higher accuracy than conventional time-domain boundary element method (BEM). In the proposed method, the topological sensitivity is used to identify the shape and position of defects in elastic solid, and it is obtained by solving the corresponding adjoint problem of the forward one with the aid of CQBEM. As numerical examples, some results of shape reconstruction of defects in a homogeneous and isotropic solid using the proposed method are demonstrated. The reconstruction ability of the proposed method is investigated by changing the radiation pattern of ultrasound from a phased array transducer.
