The crack compliance method provides a useful extension to the range of tec
hniques available for the measurement of residual stress fields. The method
is most suitable for simple geometries where the stresses vary in one dire
ction only (e.g, usually depth). This paper describes the application of th
e dislocation density method to the calculation of the compliance functions
required for the analysis of experimental data (the surface strain changes
as a slot is cut). In particular, the kernel functions appropriate to a sp
ecimen of finite thickness (i.e. a beam or a plate) are given. The use of t
he technique for this geometry, including the use of multiple strain gauges
, is discussed. Some sample results are given for the case of a plastically
bent beam and these are compared with predictions from beam theory and wit
h neutron diffraction measurements.