ON THE USE OF BETTI RECIPROCAL THEOREM FOR COMPUTING THE COEFFICIENTS OF STRESS SINGULARITIES IN ANISOTROPIC MEDIA

A method based on Betti's reciprocal theorem is used in deriving the singular stress field in the neighbourhood of notches and corners in anisotropic media. The method is to be used, in conjuction with numerical methods or other approximate methods, to carry out accurate stress analysis of regions of high stress concentration near notches or corners in finite bodies. A numerical application of this method is made by studying an orthotropic material welded to a rigid body and the stress concentration factor thus obtained.