The classical sin(2) psi method with characteristic X-rays is widely u
sed to measure residual stress nondestructively in the steel members o
f a structure or a machine, With this method it is, however, difficult
to measure the three-dimensional stress distribution with a steep gra
dient that occurs along the depth direction in a subsurface layer of t
he material after surface treatment such as grinding or cold rolling.
This paper presents a new polychromatic X-ray method for residual-stre
ss measurements in a subsurface layer, The relationship between the di
ffracted beam peak of the polychromatic X-ray and the strain along the
depth direction in a subsurface layer was obtained by theoretical ana
lysis. It was modeled by numerical simulation to obtain probable value
s of the parameters, and these were used along with experimental X-ray
data to derive an experimental value for the stress gradient, This wa
s compared with the values predicted from plate bending theory.