Numerical solution of axisymmetric-stress problems by point matching

Abstract

In a previous paper the author described the application of the point-matching technique to the solution of plane elastic problems. It was shown that it is possible to produce a single computer programme capable of analysing a wide range of such problems. The technique is extended in this paper to the case of an axisymmetrically loaded elastic body of revolution. The details of the technique are necessarily more complicated in the present instance but it has proved possible to develop a general computer programme for this type of problem. The application of the method is illustrated for a number of problems for which approximate or experimental results are available. Good agreement between these results and the point-matched stress distribution is obtained in every case.