“…Weld flaws can include fatigue cracks, slag inclusions and porosity. The following are papers that explore models for the ultrasonic inspection of welds (Bostrom, 1980;Rokhlin and Bendec, 1983;Ogilvy, 1985Ogilvy, , 1986Ogilvy, ,1988Fiedler et al, 1986;Nagy and Adler, 1988;You et al, 1988;Ogilvy and Temple, 1990;Bond and Taylor, 1991;Rudlin and Wolstenholme, 1992;Bihn and Weiland, 1998;Lhemery et al, 2000;. Additional examples of complex material and geometry modeling will be presented in the Sections 3.3 and 3.4.…”