Semi-elliptical surface cracks in finite-thickness plates with built-in ends. II. Weight function solutions

The methods of deriving weight functions from reference stress intensity factors developed for traction type boundary conditions are extended to derive weight functions with displacement boundary conditions. The weight functions for the flat plates with built-in ends were derived from reference stress intensity factors obtained from Part I of the current paper. Validation of the weight functions was conducted by comparing stress intensity factors for several non-linear stress distributions calculated using finite element method. The weight functions are given in closed form, suitable for computer numerical integration. They are suitable for fatigue and fracture analysis of semi-elliptical cracks in complex stress fields with displacement controlled boundary conditions.