Multiaxial stress analysis taking account of the penetration depth of x-rays, (1)

The new theory of X-ray multiaxial stress measurement is proposed. This method takes accounts of the influence concerning to the stress gradient and to the dependence of the penetration depth of X-rays upon the incidence angle. As a basic assumption, it's assumed that (1) stress gradient is linear in respect to the depth from the specimen surface, (2) the penetration depth of X-rays shows linear dependence upon sin2PSI, and (3) the lattice strain determined by X-rays corresponds to the weighted averaging strain on the intensity of the diffracted X-rays. Consequently, the stress state within the thin layer near to the surface is expressed by making use of three surface stresses and six stress gradients in this theory. It was proved that these nine stress elements were able to be solved through X-ray method by applying ''the integral method'' proposed by Lode and Peiter in 1976. The verification of the validity on this method was carried out through the numerical simulation and residual stress measurement of a ground S55C. As a result, it was found that this method could get a satisfactory accuracy. This method can estimate the multiaxial stress distribution within the surface layer nondestructively. (author)