A 2D model of ultrasonic wave propagation in an anisotropic weld

In order to enable ultrasonic measurement of anisotropy and the directivity of dendrites in a weld, a forward formulation is presented in this paper. It describes a model of an anisotropic weld, a probe model defined by consistent boundary conditions, together with a 2D ray tracing algorithm. The capability of this developed model is illustrated in numerical examples. This hybrid model of the forward formulation will later be applied to solve the inverse problem.